#include using namespace std; using Int = long long; const char newl = '\n'; template inline void chmin(T1 &a,T2 b){if(a>b) a=b;} template inline void chmax(T1 &a,T2 b){if(a void drop(const T &x){cout< vector read(size_t n){ vector ts(n); for(size_t i=0;i>ts[i]; return ts; } template struct Mint{ inline 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 *this;} 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;} static Mint comb(long long n,int k){ Mint num(1),dom(1); for(int i=0;i ostream& operator<<(ostream &os,Mint m){os< class Enumeration{ using M = M_; protected: inline static vector fact,finv,invs; public: static void init(int n){ n=min(n,M::mod-1); int m=fact.size(); if(n=m;i--) finv[i-1]=finv[i]*M(i); for(int i=m;i<=n;i++) invs[i]=finv[i]*fact[i-1]; } static M Fact(int n){ init(n); return fact[n]; } static M Finv(int n){ init(n); return finv[n]; } static M Invs(int n){ init(n); return invs[n]; } static M C(int n,int k){ if(n struct NTT{ inline static constexpr int md = bmds(X); inline static constexpr int rt = brts(X); using M = Mint; vector< vector > rts,rrts; void ensure_base(int n){ if((int)rts.size()>=n) return; rts.resize(n);rrts.resize(n); for(int i=1;i &as,bool f){ int n=as.size(); assert((n&(n-1))==0); ensure_base(n); for(int i=0,j=1;j+1>1;k>(i^=k);k>>=1); if(i>j) swap(as[i],as[j]); } for(int i=1;i multiply(vector as,vector bs){ int need=as.size()+bs.size()-1; int sz=1; while(sz multiply(vector as,vector bs){ vector am(as.size()),bm(bs.size()); for(int i=0;i<(int)am.size();i++) am[i]=M(as[i]); for(int i=0;i<(int)bm.size();i++) bm[i]=M(bs[i]); vector cm=multiply(am,bm); vector cs(cm.size()); for(int i=0;i<(int)cs.size();i++) cs[i]=cm[i].v; return cs; } }; struct Garner{ using ll = long long; inline static NTT<0> ntt0; inline static NTT<1> ntt1; inline static NTT<2> ntt2; static constexpr int pow(int a,int b,int md){ int res=1; a=a%md; while(b){ if(b&1) res=(ll)res*a%md; a=(ll)a*a%md; b>>=1; } return res; } static constexpr int inv(int x,int md){ return pow(x,md-2,md); } inline void garner(int &c0,int c1,int c2,int m01,int MOD){ static constexpr int r01=inv(ntt0.md,ntt1.md); static constexpr int r02=inv(ntt0.md,ntt2.md); static constexpr int r12=inv(ntt1.md,ntt2.md); c1=(ll)(c1-c0)*r01%ntt1.md; if(c1<0) c1+=ntt1.md; c2=(ll)(c2-c0)*r02%ntt2.md; c2=(ll)(c2-c1)*r12%ntt2.md; if(c2<0) c2+=ntt2.md; c0%=MOD; c0+=(ll)c1*ntt0.md%MOD; if(c0>=MOD) c0-=MOD; c0+=(ll)c2*m01%MOD; if(c0>=MOD) c0-=MOD; } inline void garner(vector< vector > &cs,int MOD){ int m01 =(ll)ntt0.md*ntt1.md%MOD; int sz=cs[0].size(); for(int i=0;i multiply(vector as,vector bs,int MOD){ vector< vector > cs(3); cs[0]=ntt0.multiply(as,bs); cs[1]=ntt1.multiply(as,bs); cs[2]=ntt2.multiply(as,bs); size_t sz=as.size()+bs.size()-1; for(auto& v:cs) v.resize(sz); garner(cs,MOD); return cs[0]; } template decltype(auto) multiply(vector am, vector bm){ vector as(am.size()),bs(bm.size()); for(int i=0;i<(int)as.size();i++) as[i]=am[i].v; for(int i=0;i<(int)bs.size();i++) bs[i]=bm[i].v; vector cs=multiply(as,bs,T::mod); vector cm(cs.size()); for(int i=0;i<(int)cm.size();i++) cm[i]=T(cs[i]); return cm; } }; //INSERT ABOVE HERE signed main(){ cin.tie(0); ios::sync_with_stdio(0); using M = Mint; using E = Enumeration; E::init(1e6); int n,p,q,l; cin>>n>>p>>q>>l; auto ss=read(n); Garner G; vector> dp(n+1); for(int k=n;k>=0;k--){ int len=min(l*k,q); dp[k].assign(len+1,0); } dp[0][0]=M(1); for(int s:ss){ vector ps(s+1,1); ps[0]=M(0); for(int k=n;k>0;k--){ int start=l*(k-1)-p; chmax(start,0); if(start>=q) continue; auto &pr=dp[k-1]; auto qs=G.multiply(vector(pr.begin()+start,pr.end()),ps); int len=min(l*k,q); for(int j=0;j<(int)qs.size() and start+j<=len;j++) dp[k][start+j]+=qs[j]; } } M ans{0}; for(int i=0;i<=n;i++) for(int j=0;j<=min(l*i,q);j++) if(l*i-j<=p) ans+=dp[i][j]*E::H(p-(l*i-j),n); cout<