#include int ri() { int n; scanf("%d", &n); return n; } int64_t rs64() { int64_t n; scanf("%" SCNd64, &n); return n; } #define MOD 1000000007 template struct ModInt{ int 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^=(long long p){ ModInt res = 1; for (; p; p >>= 1) { if (p & 1) res *= *this; *this *= *this; } return *this = res; } 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;} ModInt operator^(long long 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;} explicit operator int() const { return x; } // added by QCFium ModInt operator=(const int p) {x = p; return ModInt(*this);} // added by QCFium ModInt inverse()const{ int a=x,b=mod,u=1,v=0,t; while(b>0){ t=a/b; a-=t*b; std::swap(a,b); u-=t*v; std::swap(u,v); } return ModInt(u); } friend std::ostream &operator<<(std::ostream &os,const ModInt &p){ return os<>(std::istream &is,ModInt &a){ long long x; is>>x; a=ModInt(x); return (is); } }; typedef ModInt mint; struct MComb { std::vector fact; std::vector inversed; MComb(int n) { // O(n+log(mod)) fact = std::vector(n+1,1); for (int i = 1; i <= n; i++) fact[i] = fact[i-1]*mint(i); inversed = std::vector(n+1); inversed[n] = fact[n] ^ (MOD-2); for (int i = n - 1; i >= 0; i--) inversed[i]=inversed[i+1]*mint(i+1); } mint ncr(int n, int r) { return (fact[n] * inversed[r] * inversed[n-r]); } mint npr(int n, int r) { return (fact[n] * inversed[n-r]); } mint nhr(int n, int r) { assert(n+r-1 < (int)fact.size()); return ncr(n+r-1, r); } }; int main() { int n = ri(), w = ri(); int64_t k; std::cin >> k; int a[n]; for (auto &i : a) i = ri(); mint r1, r2; { mint dp[w + 1]; dp[0] = 1; for (int i = 0; i < w; i++) for (int j = 0; j < n; j++) if (i + a[j] <= w) dp[i + a[j]] += dp[i]; r1 = dp[w]; }{ mint dp[2 * w + 1]; dp[0] = 1; for (int i = 0; i < 2 * w; i++) { if (i == w) continue; for (int j = 0; j < n; j++) if (i + a[j] <= 2 * w) dp[i + a[j]] += dp[i]; } r2 = dp[2 * w]; } mint mat[2][2] = {{0, r2}, {1, r1}}; mint cur[2] = {1, r1}; for (; k; k >>= 1) { if (k & 1) { mint next[2]; for (int i = 0; i < 2; i++) for (int j = 0; j < 2; j++) next[j] += cur[i] * mat[i][j]; cur[0] = next[0]; cur[1] = next[1]; } mint next[2][2] = { {mat[0][0] * mat[0][0] + mat[0][1] * mat[1][0], mat[0][0] * mat[0][1] + mat[0][1] * mat[1][1]}, {mat[1][0] * mat[0][0] + mat[1][1] * mat[1][0], mat[1][0] * mat[0][1] + mat[1][1] * mat[1][1]}, }; mat[0][0] = next[0][0]; mat[0][1] = next[0][1]; mat[1][0] = next[1][0]; mat[1][1] = next[1][1]; } std::cout << cur[0] << std::endl; return 0; }