#include using namespace std; #define ALL(x) begin(x),end(x) #define rep(i,n) for(int i=0;i<(n);i++) #define debug(v) cout<<#v<<":";for(auto x:v){cout<bool chmax(T &a,const T &b){if(abool chmin(T &a,const T &b){if(b ostream &operator<<(ostream &os,const vector&v){ for(int i=0;i<(int)v.size();i++) os< istream &operator>>(istream &is,vector&v){ for(T &x:v)is>>x; return is; } template struct ModInt{ long long x; ModInt():x(0){} ModInt(long long y):x(y>=0?y%Mod:(Mod-(-y)%Mod)%Mod){} ModInt &operator+=(const ModInt &p){ if((x+=p.x)>=Mod) x-=Mod; return *this; } ModInt &operator-=(const ModInt &p){ if((x+=Mod-p.x)>=Mod)x-=Mod; return *this; } ModInt &operator*=(const ModInt &p){ x=(int)(1ll*x*p.x%Mod); return *this; } ModInt &operator/=(const ModInt &p){ (*this)*=p.inverse(); return *this; } ModInt operator-()const{return ModInt(-x);} ModInt operator+(const ModInt &p)const{return ModInt(*this)+=p;} ModInt operator-(const ModInt &p)const{return ModInt(*this)-=p;} ModInt operator*(const ModInt &p)const{return ModInt(*this)*=p;} ModInt operator/(const ModInt &p)const{return ModInt(*this)/=p;} bool operator==(const ModInt &p)const{return x==p.x;} bool operator!=(const ModInt &p)const{return x!=p.x;} ModInt inverse()const{ int a=x,b=Mod,u=1,v=0,t; while(b>0){ t=a/b; swap(a-=t*b,b);swap(u-=t*v,v); } return ModInt(u); } ModInt pow(long long n)const{ ModInt ret(1),mul(x); while(n>0){ if(n&1) ret*=mul; mul*=mul;n>>=1; } return ret; } friend ostream &operator<<(ostream &os,const ModInt &p){return os<>(istream &is,ModInt &a){long long t;is>>t;a=ModInt(t);return (is);} static int get_mod(){return Mod;} }; using mint=ModInt; template struct comcalc{ vector fact,finv,inv; comcalc():fact(MAX),finv(MAX),inv(MAX){ fact[0]=mint(1),fact[1]=mint(1),finv[0]=mint(1),finv[1]=mint(1),inv[1]=mint(1); for(int i=2;ir)return mint(0); mint ret=mint(r+1)*com(n+r+1,r+1)-mint(l)*com(l+n,l); ret/=mint(n+1); return ret; } }; mint pow_mod(mint x,ll n){ return x.pow(n); } mint inv_mod(mint x){ return x.inverse(); } // O(n) mint fact_mod(ll n){ mint ret=1; for(int i=2;i<=n;i++) ret*=mint(i); return ret; } // O(r) mint comb_mod(ll n,ll r){ if(r>n-r) r=n-r; if(r==0) return 1; mint a=1,b=mint(fact_mod(r)).inverse(); for(int i=0;i; template struct Matrix{ vector> A; Matrix(){} Matrix(int n,int m):A(n,vector(m,T(0))){} Matrix(int n):A(n,vector(n,T(0))){} int height()const{return (A.size());} int width()const{return (A[0].size());} inline const vector &operator[](int k)const{return (A.at(k));} inline vector &operator[](int k){return (A.at(k));} static Matrix I(int n){ Matrix mat(n); for(int i=0;i> C(height(),vector(B.width(),T(0))); for(int i=0;i0){ if(k&1) res*=(*this); (*this)*=(*this); k>>=1ll; } A.swap(res.A); return (*this); } Matrix operator+(const Matrix &B)const{return (Matrix(*this)+=B);} Matrix operator-(const Matrix &B)const{return (Matrix(*this)-=B);} Matrix operator*(const Matrix &B)const{return (Matrix(*this)*=B);} Matrix operator^(const long long k)const{return (Matrix(*this)^=k);} friend ostream &operator<<(ostream &os,Matrix &p){ for(int i=0;i>n>>w>>k; vector a(n); cin>>a; mint alpha; { vector dp(w+1,0); dp[0]=1; rep(i,w+1){ rep(j,n){ if(i+a[j]<=w) dp[i+a[j]]+=dp[i]; } } alpha=dp[w]; } mint beta; { vector dp(2*w+1,0); dp[0]=1; rep(i,2*w+1){ if(i==w) dp[w]=0; rep(j,n){ if(i+a[j]<=2*w) dp[i+a[j]]+=dp[i]; } } beta=dp[2*w]; } Matrix mat(2); mat[0][0]=alpha;mat[0][1]=beta; mat[1][0]=1;mat[1][1]=0; mat^=k; mint res=mat[1][0]*alpha+mat[1][1]; cout<