#include #include #include #include #include #include #include #include #include #include #include #include #include #define repeat(i, n) for (int i = 0; (i) < (n); ++(i)) #define repeat_from(i, m, n) for (int i = (m); (i) < (n); ++(i)) using namespace std; template inline int sz(T& x) { return x.size(); } template inline bool setmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } template inline bool setmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template auto vectors(T a, X x) { return vector(x, a); } template auto vectors(T a, X x, Y y, Zs... zs) { auto cont = vectors(a, y, zs...); return vector(x, cont); } template struct Mint { 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 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; } static Mint comb(long long n, int k) { Mint num(1), dom(1); for (int i = 0; i < k; i++) { num *= Mint(n - i); dom *= Mint(i + 1); } return num / dom; } }; template constexpr T Mint::mod; template ostream& operator<<(ostream& os, Mint m) { os << m.v; return os; } template istream& operator>>(istream& os, Mint& m) { os >> m.v; return os; } using mint = Mint; const int MAX_AK = 11000; int main() { int N, K; cin >> N >> K; vector A(N); repeat(i, N) cin >> A[i]; auto dp = vectors(mint(), N + 1, MAX_AK); dp[0][0] = 1; for (int ai : A) { for (int i = N - 1; i >= 0; --i) { repeat(j, MAX_AK) { if (j - ai >= 0) { dp[i + 1][j] += dp[i][j - ai]; } } } } mint res = 0; repeat_from(i, 1, N + 1) { repeat_from(j, i * K, MAX_AK) { res += dp[i][j]; } } cout << res << endl; return 0; }