#define _USE_MATH_DEFINES #include using namespace std; //template #define rep(i,a,b) for(int i=(a);i<(b);i++) #define rrep(i,a,b) for(int i=(a);i>(b);i--) #define ALL(v) (v).begin(),(v).end() typedef long long int ll; const int inf = 0x3fffffff; const ll INF = 0x1fffffffffffffff; const double eps=1e-12; void tostr(ll x,string& res){while(x)res+=('0'+(x%10)),x/=10; reverse(ALL(res)); return;} template inline bool chmax(T& a,T b){ if(a inline bool chmin(T& a,T b){ if(a>b){a=b;return 1;}return 0; } //template end templatestruct mint { unsigned val; static unsigned get_mod(){return mod;} unsigned inv() const{ int tmp,a=val,b=mod,x=1,y=0; while(b)tmp=a/b,a-=tmp*b,swap(a,b),x-=tmp*y,swap(x,y); if(x<0)x+=mod; return x; } mint():val(0){} mint(ll x):val(x>=0?x%mod:mod+(x%mod)){} mint pow(ll t){mint res=1,b=*this; while(t){if(t&1)res*=b;b*=b;t>>=1;}return res;} mint& operator+=(const mint& x){if((val+=x.val)>=mod)val-=mod;return *this;} mint& operator-=(const mint& x){if((val+=mod-x.val)>=mod)val-=mod; return *this;} mint& operator*=(const mint& x){val=ll(val)*x.val%mod; return *this;} mint& operator/=(const mint& x){val=ll(val)*x.inv()%mod; return *this;} mint operator+(const mint& x)const{return mint(*this)+=x;} mint operator-(const mint& x)const{return mint(*this)-=x;} mint operator*(const mint& x)const{return mint(*this)*=x;} mint operator/(const mint& x)const{return mint(*this)/=x;} bool operator==(const mint& x)const{return val==x.val;} bool operator!=(const mint& x)const{return val!=x.val;} }; templatestruct factorial { using Mint=mint; vector Fact,Finv,Inv; public: factorial(int maxx){ Fact.resize(maxx+1),Finv.resize(maxx+1); Inv.resize(maxx+1); Fact[0]=Inv[1]=Mint(1); rep(i,0,maxx)Fact[i+1]=Fact[i]*(i+1); Finv[maxx]=Mint(1)/Fact[maxx]; rrep(i,maxx,0)Finv[i-1]=Finv[i]*i; rep(i,2,maxx+1)Inv[i]=Inv[mod%i]*(mod-mod/i); } Mint fact(int n,bool inv=0){if(inv)return Finv[n];else return Fact[n];} Mint inv(int n){return Inv[n];} Mint nPr(int n,int r){if(n<0||n; using Factorial=factorial<>; vector rt,irt; templatevoid init(int lg=21){ using Mint=mint; Mint prt=p; rt.resize(1<>w; Mint g=prt.pow(t),ig=prt.pow(mod-1-t); rep(i,0,mask){ rt[mask+i+1]=(g*rt[mask+i]).val; irt[mask+i+1]=(ig*irt[mask+i]).val; } } } templatestruct FPS{ using Mint=mint; vector f; FPS():f({1}){} FPS(int _n):f(_n){} FPS(vector _f):f(_f){} Mint& operator[](const int i){return f[i];} Mint eval(Mint x){ Mint res,w=1; for(Mint v:f)res+=w*v,w*=x; return res; } void ntt(bool inv=0){ int n=f.size(); if(n==1)return; if(inv){ for(int i=1;i>1;i;i>>=1){ for(int j=0;jFPS operator*(T t)const{return FPS(*this)*=t;} FPS operator/(const FPS& g)const{return FPS(*this)/=g;} templateFPS operator/(T t)const{return FPS(*this)/=t;} FPS operator%(const FPS& g)const{return FPS(*this)%=g;} FPS& operator+=(FPS g){ if(g.f.size()>f.size())f.resize(g.f.size()); rep(i,0,g.f.size())f[i]+=g[i]; return *this; } FPS& operator-=(FPS g){ if(g.f.size()>f.size())f.resize(g.f.size()); rep(i,0,g.f.size())f[i]-=g[i]; return *this; } FPS& operator*=(FPS g){ int m=f.size()+g.f.size()-1,n=1; while(nFPS& operator*=(T t){for(Mint x:f)x*=t; return *this;} FPS& operator/=(FPS g){ if(g.f.size()>f.size())return *this=FPS({0}); reverse(ALL(f)); reverse(ALL(g.f)); int n=f.size()-g.f.size()+1; f.resize(n); g.f.resize(n); FPS mul=g.inv(); *this*=mul; f.resize(n); reverse(ALL(f)); return *this; } templateFPS& operator/=(T t){for(Mint x:f)x/=t; return *this;} FPS& operator%=(FPS g){ *this-=*this/g*g; while(!f.empty()&&f.back()==0)f.pop_back(); return *this; } FPS pow(ll k){ int n=f.size(); FPS ff=*this,res; while(k){ if(k&1){res*=ff; res.f.resize(n);} ff*=ff; ff.f.resize(n); k>>=1; } return res; } FPS sqrt(){ int n=f.size(); FPS res(1); res[0]=1; for(int k=1;k pre; for(int k=n;k;k>>=1){ FPS g=d; g.f.resize(k); g.ntt(); pre.push_back(g); } auto dfs=[&](auto dfs,int l,int r,int dep)->void{ if(r-l==1){if(l>0)res[l]/=l; return;} int m=(l+r)>>1; dfs(dfs,l,m,dep+1); FPS g(r-l); rep(i,0,m-l)g[i]=res[l+i]; g.ntt(); rep(i,0,r-l)g[i]*=pre[dep][i]; g.ntt(1); rep(i,m,r)res[i]+=g[i-l-1]; dfs(dfs,m,r,dep+1); }; res[0]=1; dfs(dfs,0,n,0); res.f.resize(m); return res; } };//need to initialize using M1=mint<1045430273>; using M2=mint<1051721729>; using M3=mint<1053818881>; vector conv(vector a,vector b){ int n=a.size()+b.size()-1; vector res(n); if(a.size()*b.size()<=12000000){ rep(i,0,a.size())rep(j,0,b.size())res[i+j]+=a[i]*b[j]; return res; } vector vals[3]; init<1045430273,3>(); FPS<1045430273> x1(a.size()),y1(b.size()); rep(i,0,a.size())x1[i]=M1(a[i].val); rep(i,0,b.size())y1[i]=M1(b[i].val); x1*=y1; auto f=x1.f; for(auto v:f)vals[0].push_back(v.val); init<1051721729,6>(); FPS<1051721729> x2(a.size()),y2(b.size()); rep(i,0,a.size())x2[i]=M2(a[i].val); rep(i,0,b.size())y2[i]=M2(b[i].val); x2*=y2; auto g=x2.f; for(auto v:g)vals[1].push_back(v.val); init<1053818881,7>(); FPS<1053818881> x3(a.size()),y3(b.size()); rep(i,0,a.size())x3[i]=M3(a[i].val); rep(i,0,b.size())y3[i]=M3(b[i].val); x3*=y3; auto h=x3.f; for(auto v:h)vals[2].push_back(v.val); M2 r_12=M2(M1::get_mod()).inv(); M3 r_13=M3(M1::get_mod()).inv(),r_23=M3(M2::get_mod()).inv(); M3 r_1323=r_13*r_23; Mint w1(M1::get_mod()); Mint w2=w1*Mint(M2::get_mod()); rep(i,0,n){ ll a=vals[0][i],b=(vals[1][i]+M2::get_mod()-a)*r_12.val%M2::get_mod(); ll c=((vals[2][i]+M3::get_mod()-a)*r_1323.val+ (M3::get_mod()-b)*r_23.val)%M3::get_mod(); res[i]=(a+b*w1.val+c*w2.val); } return res; } using fps=FPS<1000000007>; int a[]={2,3,5,7,11,13},b[]={4,6,8,9,10,12}; ll n; int m; Mint dp[2][51][700]; vector g; vector inv(vector f){ int n=f.size(); fps res(1); res[0]=f[0].inv(); for(int k=1;k modg(vector f){ if(f.size() gg=g; reverse(ALL(gg)); while(gg.size()&&gg.back()==0)gg.pop_back(); vector ff=f; reverse(ALL(ff)); ff=conv(inv(gg),ff); ff.resize(f.size()-g.size()+1); reverse(ALL(ff)); fps r(f),sub(conv(g,ff)); sub.f.resize(f.size()); r-=sub; auto res=r.f; while(res.size()&&res.back()==0)res.pop_back(); return res; } Mint ktms(ll t){ vector ret(1),mul(2); ret[0]=mul[1]=1; while(t){ if(t&1){ret=modg(conv(ret,mul)); ret.resize(min((int)ret.size(),m));} mul=modg(conv(mul,mul)); mul.resize(min((int)mul.size(),m)); t>>=1; } Mint res; for(auto x:ret)res+=x; return res; } int main(){ int p,c; cin>>n>>p>>c; m=p*13+c*12; dp[0][0][0]=dp[1][0][0]=1; rep(k,0,6)rep(i,0,p)rep(j,0,p*13-a[k]+1)if(dp[0][i][j]!=0)dp[0][i+1][j+a[k]]+=dp[0][i][j]; rep(k,0,6)rep(i,0,c)rep(j,0,c*12-b[k]+1)if(dp[1][i][j]!=0)dp[1][i+1][j+b[k]]+=dp[1][i][j]; m++; g.resize(m); rep(i,0,p*13+1)rep(j,0,c*12+1)g[i+j]+=dp[0][p][i]*dp[1][c][j]; reverse(ALL(g)); for(auto& x:g)x*=-1; g.back()=1; Mint res=ktms(n+m-2); printf("%d\n",res.val); return 0; }