#include using namespace std; using lint = long long; const lint inf = 1LL << 60; const lint mod = 1000000007; struct mint { lint v; lint _mod; mint() : v(0) {} mint(signed v, lint _mod = mod) : v(v), _mod(_mod) {} mint(lint t, lint _mod = mod) : _mod(_mod) { v = t % _mod; if (v < 0) v += _mod; } mint pow(lint 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 = 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 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; } bool operator<(const mint a) const { return v < a.v; } }; ostream &operator<<(ostream &os, mint m) { return os << m.v; } template struct SquareMatrix { using arr = array; using mat = array; mat dat; SquareMatrix() { for (size_t i = 0; i < N; i++) for (size_t j = 0; j < N; j++) dat[i][j] = R::add_identity(); } SquareMatrix &operator=(const SquareMatrix &a) { dat = a.dat; return (*this); } bool operator==(const SquareMatrix &a) const { return dat == a.dat; } size_t size() const { return N; }; arr &operator[](size_t k) { return dat[k]; }; const arr &operator[](size_t k) const { return dat[k]; }; static SquareMatrix add_identity() { return SquareMatrix(); } static SquareMatrix mul_identity() { SquareMatrix res; for (size_t i = 0; i < N; i++) res[i][i] = R::mul_identity(); return res; } SquareMatrix operator*(const SquareMatrix &B) const { SquareMatrix res; for (size_t i = 0; i < N; i++) for (size_t j = 0; j < N; j++) for (size_t k = 0; k < N; k++) res[i][j] = res[i][j] + (dat[i][k] * B[k][j]); return res; } SquareMatrix operator+(const SquareMatrix &B) const { SquareMatrix res; for (size_t i = 0; i < N; i++) for (size_t j = 0; j < N; j++) res[i][j] = dat[i][j] + B[i][j]; return res; } SquareMatrix pow(long long n) const { SquareMatrix a = *this, res = mul_identity(); while (n) { if (n & 1) res = res * a; a = a * a; n >>= 1; } return res; } }; int main() { cin.tie(nullptr); ios::sync_with_stdio(false); lint n, w, k; cin >> n >> w >> k; vector a(n); for (int i = 0; i < n; ++i) { cin >> a[i]; } vector dp(2 * w + 1, 0); dp[0] = 1; for (int i = 0; i < 2 * w; ++i) { for (int j = 0; j < n; ++j) { if (i + a[j] <= 2 * w) dp[i + a[j]] += dp[i]; } } mint nn = dp[w]; mint nm = dp[2 * w]; SquareMatrix<2, mint> mat; mat[0][0] = 0; mat[0][1] = 1; mat[1][0] = nm - nn * nn; mat[1][1] = nn; mat = mat.pow(k - 1); cout << mat[1][0] + mat[1][1] * nn << "\n"; return 0; }