#include using namespace std; using uint=unsigned; using ll=long long; using ull=unsigned long long; #define int ll #define FOR(i,a,b) for(int i=int(a);i=a;i--) #define per(i,b) ROF(i,0,b) #define mp make_pair #define mt make_tuple #define pb push_back #define eb emplace_back #define all(x) x.begin(),x.end() auto& errStream=cerr; #ifdef LOCAL #define cerr (cerr<<"-- line "<<__LINE__<<" -- ") #else class CerrDummy{}cerrDummy; template CerrDummy& operator<<(CerrDummy&cd,const T&){ return cd; } using charTDummy=char; using traitsDummy=char_traits; CerrDummy& operator<<(CerrDummy&cd,basic_ostream&(basic_ostream&)){ return cd; } #define cerr cerrDummy #endif #define reach cerr<<"reached"< void dmpr(decltype(cerr)&os,const T&t,const Args&... args){ os< using V=vector; template using VV=V>; using pi=pair; using vi=vector; using ld=long double; template ostream& operator<<(ostream& os,const pair& p){ os<<"("< ostream& operator <<(ostream& os,const vector& v){ os<<"{"; rep(i,(int)v.size()){ if(i)os<<","; os< void print_tuple(ostream&,const T&){ } template void print_tuple(ostream&os,const T&t){ if(i)os<<","; os<(t); print_tuple(os,t); } template ostream& operator<<(ostream&os,const tuple&t){ os<<"("; print_tuple<0,tuple,Args...>(os,t); return os<<")"; } ll read(){ ll i; scanf("%lld",&i); return i; } void printSpace(){ printf(" "); } void printEoln(){ printf("\n"); } void print(ll x,int suc=1){ printf("%lld",x); if(suc==1) printEoln(); if(suc==2) printSpace(); } vi readvi(int n,int off=0){ vi v(n); rep(i,n)v[i]=read()+off; return v; } template void print(const vector&v,int suc=1){ rep(i,v.size()) print(v[i],i==int(v.size())-1?suc:2); } string readString(){ static char buf[3341000]; scanf("%s",buf); return string(buf); } char* readCharArray(){ static char buf[3341000]; static int bufUsed=0; char* ret=buf+bufUsed; scanf("%s",ret); bufUsed+=strlen(ret)+1; return ret; } template void chmax(T& a,U b){ if(a void chmin(T& a,U b){ if(b T Sq(const T& t){ return t*t; } //#define CAPITAL void Yes(bool ex=true){ #ifdef CAPITAL cout<<"YES"< vector uni(const vector&vv){ auto v(vv); sort(all(v)); v.erase(unique(all(v)),v.end()); return v; } template void mkuni(vector&v){ sort(all(v)); v.erase(unique(all(v)),v.end()); } //ayasii int topbit(signed t){ return t==0?-1:31-__builtin_clz(t); } int topbit(ll t){ return t==0?-1:63-__builtin_clzll(t); } int popcount(signed t){ return __builtin_popcount(t); } int popcount(ll t){ return __builtin_popcountll(t); } bool ispow2(int i){ return i&&(i&-i)==i; } bool inc(int a,int b,int c){ return a<=b&&b<=c; } #define SMOD #ifdef SMOD template #else uint mod; #endif struct ModInt{ #ifdef SMOD static constexpr uint base=mod; #else static constexpr uint& base=mod; #endif uint v; ModInt():v(0){} ModInt(ll vv){ s(vv%mod+mod); } ModInt& s(uint vv){ v=vv>=1; } return res; } ModInt inv()const{ return pow(mod-2); } }; #ifdef SMOD template ostream& operator<<(ostream&os,const ModInt&m){ return os< void print(const ModInt&m,int suc=1){ print(m.v,suc); } #else ostream& operator<<(ostream&os,const ModInt&m){ return os<; //using mint=ModInt<998244353>; #else using mint=ModInt; #endif const int Vmax=2000010; mint fact[Vmax],factInv[Vmax],invs[Vmax]; void InitFact(){ fact[0]=1; FOR(i,1,Vmax){ fact[i]=fact[i-1]*i; } factInv[Vmax-1]=fact[Vmax-1].inv(); for(int i=Vmax-2;i>=0;i--){ factInv[i]=factInv[i+1]*(i+1); } for(int i=Vmax-1;i>=1;i--){ invs[i]=factInv[i]*fact[i-1]; } } #ifdef SMOD struct InitFactDummy{ InitFactDummy(){ InitFact(); } } initFactDummy; #endif mint Choose(int n,int k){ return fact[n]*factInv[n-k]*factInv[k]; } mint Binom(int a,int b){ return fact[a+b]*factInv[a]*factInv[b]; } mint Catalan(int n){ return Binom(n,n)-(n-1>=0?Binom(n-1,n+1):0); } static const int S=1<<18; using R=double; using C=complex; C& operator*=(C &a,C b){ return a=C(a.real()*b.real()-a.imag()*b.imag(),a.real()*b.imag()+a.imag()*b.real()); } C operator*(const C&a,C b){ return C(a.real()*b.real()-a.imag()*b.imag(),a.real()*b.imag()+a.imag()*b.real()); } void inplace_fft(V&f,bool inv){ static const R P=acos(-1); static C r[S],ir[S]; static bool did=false; if(!did){ rep(i,S){ R a=2*P/S*i; r[i]=C(cos(a),sin(a)); ir[i]=conj(r[i]); } did=true; } const int n=f.size(); V g(n); for(int b=n/2;b>=1;b/=2){ int w=S/(n/b),p=0; for(int i=0;i convolution(V x,V y){ int n=x.size()+y.size()-1; int s=1; while(s V multiply(const V&x,const V&y){ const auto ch=[&](const V& v){ V r(v.size()); rep(i,v.size()) r[i]=v[i]; return r; }; auto z=convolution(ch(x),ch(y)); V r(z.size()); rep(i,z.size()) r[i]=z[i].real(); return r; } R invs[S]; struct InitRInvs{ InitRInvs(){ FOR(i,1,S) invs[i]=1/i; } } InitRInvsDummy;*/ V multiply(const V&x,const V&y){ const int B=15; int n=x.size()+y.size()-1; int s=1; while(s&v){ V r(s); rep(i,v.size()) r[i]=C(v[i].v&((1<>B); return r; }; V a=ch(x),b=ch(y); inplace_fft(a,false); inplace_fft(b,false); V c(s),d(s); rep(i,s){ int j=(s-i)%s; C xl=(a[i]+conj(a[j]))*C(0.5,0); C xh=(a[i]-conj(a[j]))*C(0,-0.5); c[i]=xl*b[i]; d[i]=xh*b[i]; } inplace_fft(c,true); inplace_fft(d,true); V r(n); rep(i,n){ r[i]=mint(round(c[i].real())) +mint(round(c[i].imag()))*(1< struct Poly:public V{ template Poly(Args...args):V(args...){} Poly(initializer_listinit):V(all(init)){} int size()const{ return V::size(); } void ups(int s){ if(size()resize(s,0); } Poly low(int s)const{ return Poly(this->bg,this->bg+min(s,size())); } Poly rev()const{ auto r=*this; reverse(all(r)); return r; } Poly& operator+=(const Poly&r){ ups(r.size()); rep(i,r.size()) (*this)[i]+=r[i]; return *this; } Poly& operator-=(const Poly&r){ ups(r.size()); rep(i,r.size()) (*this)[i]-=r[i]; return *this; } template Poly& operator*=(T t){ for(auto&v:*this) v*=t; return *this; } Poly& operator*=(const Poly&r){ return *this=multiply(*this,r); } Poly inv(int s)const{ Poly r{1/(*this)[0]}; for(int n=1;n Poly& operator/=(T t){ return *this*=1/D(t); } Poly& operator/=(const Poly&r){ int m=r.size(); assert(r[m-1]); int n=size(); int s=n-m+1; if(s<=0) return *this={}; return *this=(rev().low(s)*r.rev().inv(s)).low(s).rev(); } Poly& operator%=(const Poly&r){ *this-=*this/r*r; return *this=low(r.size()-1); } Poly operator+(const Poly&r)const{return Poly(*this)+=r;} Poly operator-(const Poly&r)const{return Poly(*this)-=r;} template Poly operator*(T t)const{return Poly(*this)*=t;} Poly operator*(const Poly&r)const{return Poly(*this)*=r;} template Poly operator/(T t)const{return Poly(*this)/=t;} Poly operator/(const Poly&r)const{return Poly(*this)/=r;} Poly operator%(const Poly&r)const{return Poly(*this)%=r;} Poly dif()const{ Poly r(max(int(0),size()-1)); rep(i,r.size()) r[i]=(*this)[i+1]*(i+1); return r; } Poly inte()const{ Poly r(size()+1,0); rep(i,size()) r[i+1]=(*this)[i]*invs[i+1]; return r; } //opencupXVIII GP of Peterhof H Poly log(int s)const{ return (low(s).dif()*inv(s-1)).low(s-1).inte(); } //Petrozavodsk 2019w Day1 G Poly exp(int s)const{ return exp2(s).fs; } pair exp2(int s)const{ assert((*this)[0]==0); Poly f{1},g{1}; for(int n=1;;n*=2){ if(n>=s)break; g=g*2-(g*g*f).low(n); //if(n>=s)break; Poly q=low(n).dif(); q=q+g*(f.dif()-f*q).low(2*n-1); f=f+(f*(low(2*n)-q.inte())).low(2*n); } return mp(f.low(s),g.low(s)); } //CF250 E Poly sqrt(int s)const{ assert((*this)[0]==1); Poly r{1}; for(int n=1;n; P gen(vi vs,int c){ int n=vs.back()*c; VV dp(n+1,V(c+1)); dp[0][0]=1; for(auto v:vs) rep(i,n-v+1)rep(j,c) dp[i+v][j+1]+=dp[i][j]; P res(n+1); rep(i,n+1) res[i]=dp[i][c]; return res; } signed main(){ int n=read(),p=read(),c=read(); auto w=gen({2,3,5,7,11,13},p)*gen({4,6,8,9,10,12},c); int s=n+w.size()-2; cerr<