#line 1 "a.cpp" #include using namespace std; #line 3 "/home/kotatsugame/library/math/modint.cpp" #include template struct modint{ unsigned int x; constexpr modint()noexcept:x(){} template constexpr modint(T x_)noexcept:x((x_%=m)<0?x_+m:x_){} constexpr unsigned int val()const noexcept{return x;} constexpr modint&operator++()noexcept{if(++x==m)x=0;return*this;} constexpr modint&operator--()noexcept{if(x==0)x=m;--x;return*this;} constexpr modint operator++(int)noexcept{modint res=*this;++*this;return res;} constexpr modint operator--(int)noexcept{modint res=*this;--*this;return res;} constexpr modint&operator+=(const modint&a)noexcept{x+=a.x;if(x>=m)x-=m;return*this;} constexpr modint&operator-=(const modint&a)noexcept{if(x>=1)if(n&1)r*=x; return r; } constexpr modint inv()const noexcept { int s=x,t=m,x=1,u=0; while(t) { int k=s/t; s-=k*t; swap(s,t); x-=k*u; swap(x,u); } return modint(x); } friend constexpr modint operator+(const modint&a,const modint&b){return modint(a)+=b;} friend constexpr modint operator-(const modint&a,const modint&b){return modint(a)-=b;} friend constexpr modint operator*(const modint&a,const modint&b){return modint(a)*=b;} friend constexpr modint operator/(const modint&a,const modint&b){return modint(a)/=b;} friend constexpr bool operator==(const modint&a,const modint&b){return a.x==b.x;} friend constexpr bool operator!=(const modint&a,const modint&b){return a.x!=b.x;} friend ostream&operator<<(ostream&os,const modint&a){return os<>(istream&is,modint&a){long long v;is>>v;a=modint(v);return is;} }; #line 4 "a.cpp" using mint=modint<(int)1e9+7>; int N,A,B,L; int S[40]; mint dp[41][20202]; mint tmp[41][20202]; const int LIM=20202; mint fac[LIM+1],inv[LIM+1]; mint C(int a,int b){return fac[a]*inv[b]*inv[a-b];} main() { fac[0]=1; for(int i=1;i<=LIM;i++)fac[i]=fac[i-1]*i; inv[LIM]=1/fac[LIM]; for(int i=LIM;i--;)inv[i]=inv[i+1]*(i+1); cin>>N>>A>>B>>L; for(int i=0;i>S[i]; dp[0][0]=1; for(int i=0;iB)R=B+1; tmp[j+1][R]-=dp[j][k]; } for(int j=0;j<=i+1;j++) { for(int k=0;k<=B;k++) { tmp[j][k+1]+=tmp[j][k]; dp[j][k]+=tmp[j][k]; } } } mint ans=0; for(int j=0;j<=N;j++)for(int k=0;k<=B;k++) { int uA=j*L-k; if(uA>A)continue; int rA=A-uA; ans+=dp[j][k]*C(rA+N-1,N-1); } cout<