#include #if __has_include() #include #endif namespace ttl{ using namespace std; using f80=long double; using i64=int64_t; using u64=uint64_t; template void Scan_(T& a){ cin>>a; } template void Scan_(pair& a){ Scan_(a.first),Scan_(a.second); } template void Scan_(vector& a){ for(auto& v:a){ Scan_(v); } } template void Scan_(vector>& a){ for(auto& v:a){ for(auto& u:v){ Scan_(u); } } } void Scan(){} template void Scan(T& n,Args&... args){ Scan_(n),Scan(args...); } template void Print_(T a){ cout< void Print_(pair a){ Print_(a.first),cout<<" ";Print_(a.second); } void Print_(f80 a){ printf("%.10Lf",a); } template void Print(vector a){ for(size_t i=0;i void Print(vector> a){ for(auto& v:a){ for(size_t i=0;i void Print(T a){ Print_(a); cout<<"\n"; } template void Print(T a,Args... args){ Print_(a),cout<<" ",Print(args...); } //しおむすびありがとう template struct MultiDimVec{ using type=vector::type>; }; template struct MultiDimVec{ using type=T; }; template vector MakeVec(int n,Arg&& arg){ return vector(n,arg); } template typename MultiDimVec::type MakeVec(int n,Args&&... args){ return typename MultiDimVec::type(n,MakeVec(args...)); } template T Sum(vector a){ return accumulate(a.begin(),a.end(),T(0)); } template T Rev_(T a){ reverse(a.begin(),a.end()); return a; } template void Rev(T& a){ reverse(a.begin(),a.end()); } template T Sort_(T a){ sort(a.begin(),a.end()); return a; } template void Sort(T& a){ sort(a.begin(),a.end()); } template T RSort_(T a){ sort(a.rbegin(),a.rend()); return a; } template void RSort(T& a){ sort(a.rbegin(),a.rend()); } template T Max(vector a){ return *max_element(a.begin(),a.end()); } template T Min(vector a){ return *min_element(a.begin(),a.end()); } template void ChMax(T& a,T b){ a=max(a,b); } template void ChMin(T& a,T b){ a=min(a,b); } i64 Tr(i64 n){ return n*(n+1)/2; } i64 PopCnt(u64 k){ return __builtin_popcountll(k); } i64 SqrtF(i64 n){ i64 ok=0,ng=1e9+5; while(std::abs(ok-ng)>1){ i64 mid=(ok+ng)/2; (mid*mid<=n?ok:ng)=mid; } return ok; } i64 FDiv(i64 a,i64 b){ if(b<0){ a*=-1,b*=-1; } if(a<0){ return -(-a+b-1)/b; } return a/b; } i64 CDiv(i64 a,i64 b){ if(b<0){ a*=-1,b*=-1; } if(a<0){ return -(-a)/b; } return (a+b-1)/b; } template struct ModInt{ u64 val; ModInt(i64 val_=0):val((val_%i64(mod)+i64(mod))%i64(mod)){} ModInt operator-(){ return (val==0)?0:mod-val; } ModInt operator+(ModInt rhs){ return ModInt(*this)+=rhs; } ModInt operator-(ModInt rhs){ return ModInt(*this)-=rhs; } ModInt operator*(ModInt rhs){ return ModInt(*this)*=rhs; } ModInt operator/(ModInt rhs){ return ModInt(*this)/=rhs; } ModInt pow(i64 rhs){ ModInt res=1,now=(*this); while(rhs){ res*=((rhs&1)?now:1),now*=now,rhs>>=1; } return res; } ModInt &operator+=(ModInt rhs){ val+=rhs.val,val-=((val>=mod)?mod:0); return (*this); } ModInt &operator-=(ModInt rhs){ val+=((val>(std::istream& is,ModInt& x){ u64 t; is>>t,x=t; return is; } }; vector LISSize(vector A){ int N=A.size(); vector dp(N+1,2e18),res(N+1); dp[0]=-1; for(int i=0;i) i64 CountInverse(vector A){ int N=A.size(); auto B=A; sort(B.begin(),B.end()); B.erase(unique(B.begin(),B.end()),B.end()); map mp; for(size_t i=0;i fwt(N); i64 ans=0; for(int i=0;i lpf; ESieve(int n_):n(n_),lpf(n_+1,-1){ for(i64 p=2;p<=n;++p){ if(lpf[p]!=-1){ continue; } for(i64 q=p;q<=n;q+=p){ if(lpf[q]==-1){ lpf[q]=p; } } } } vector> operator()(int m){ vector v; while(m!=1){ v.emplace_back(lpf[m]); m/=lpf[m]; } if(v.size()==0){ return {}; } vector> res; res.emplace_back(v[0],1); for(size_t i=1;i Dist(vector> G,int v){ int N=G.size(); vector dst(N,-1); queue q; dst[v]=0; q.emplace(v); while(q.size()){ int t=q.front(); q.pop(); for(auto u:G[t]){ if(dst[u]==-1){ dst[u]=dst[t]+1; q.emplace(u); } } } return dst; } void SpreadGrid(vector& S,int h,int w,char c){ int H=S.size(),W=S[0].size(); auto res=MakeVec(h,""); for(int i=0;i> PrimeFact(i64 n){ vector> res; for(i64 i=2;i*i<=n;++i){ if(n%i!=0){ continue; } i64 ex=0; while(n%i==0){ ex++,n/=i; } res.emplace_back(i,ex); } if(n!=1){ res.emplace_back(n,1); } return res; } vector EnumDiv(i64 n){ vector res; for(i64 i=1;i*i<=n;++i){ if(n%i!=0){ continue; } res.emplace_back(i); if(i*i!=n){ res.emplace_back(n/i); } } sort(res.begin(),res.end()); return res; } template vector> RunLenEnc(vector a){ int n=a.size(); vector> res; T now=a[0]; int l=1; for(int i=1;i> RunLenEnc(string a){ int n=a.size(); vector> res; char now=a[0]; int l=1; for(int i=1;i struct Comb{ vector fac,ifac; Comb(int mx=3000000):fac(mx+1,1),ifac(mx+1,1){ for(int i=1;i<=mx;++i){ fac[i]=fac[i-1]*i; } ifac[mx]/=fac[mx]; for(int i=mx;i>0;--i){ ifac[i-1]=ifac[i]*i; } } T operator()(int n,int k){ if(n<0||k<0||n> Cb; template mint dfs(int N,int K,vector b,int s){ if(s==N){ i64 l=1; vector cnt(N+1); mint prd=Cb.fac[N]; for(auto v:b){ prd*=Cb.fac[v-1]/Cb.fac[v]; l=lcm(l,v); cnt[v]++; } for(auto v:cnt){ prd/=Cb.fac[v]; } return mint(l).pow(K)*prd; } int k=(b.size()==0?1:b.back()); mint res=0; for(int t=k;t<=N-s;++t){ auto c=b; c.emplace_back(t); res+=dfs(N,K,c,s+t); } return res; } int main(){ constexpr u64 mod=998244353; using mint=ModInt; //[L,R] -> [0,R-L] //C <- max(A+B, C) //x (A) y (B) z // (C) //sum[i=C,R-L] (i-A-B+1)*(R-L-i+1) //sum[i=0,R-L-C] (i-A-B+C+1)*(R-L-C-i+1) //sum[i=0,R-L-C] -(i+p)(i+q) i64 L,R,A,B,C; Scan(L,R,A,B,C); C=max(A+B,C); if(R-L