#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef vector vl; typedef vector vvl; typedef vector vc; typedef vector vs; typedef vector vb; typedef vector vd; typedef pair P; typedef pair pii; typedef vector

vpl; typedef tuple tapu; #define rep(i,n) for(int i=0; i<(n); i++) #define REP(i,a,b) for(int i=(a); i<(b); i++) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() const int inf = 1<<30; const ll linf = 1LL<<62; const int MAX = 2020000; ll dy[8] = {1,-1,0,0,1,-1,1,-1}; ll dx[8] = {0,0,1,-1,1,-1,-1,1}; const double pi = acos(-1); const double eps = 1e-7; template inline bool chmin(T1 &a,T2 b){ if(a>b){ a = b; return true; } else return false; } template inline bool chmax(T1 &a,T2 b){ if(a inline void print(T &a){ for(auto itr = a.begin(); itr != a.end(); itr++){ cout << *itr << " "; } cout << "\n"; } template inline void print2(T1 a, T2 b){ cout << "debug: " << a << " " << b << "\n"; } template inline void print3(T1 a, T2 b, T3 c){ cout << "debug: " << a << " " << b << " " << c << "\n"; } void mark() {cout << "#" << "\n";} ll pcount(ll x) {return __builtin_popcountll(x);} const int mod = 1e9 + 7; //const int mod = 998244353; template class modint { using u64 = std::uint_fast64_t; public: u64 a; constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {} constexpr u64 &value() noexcept { return a; } constexpr const u64 &value() const noexcept { return a; } constexpr modint operator+(const modint rhs) const noexcept { return modint(*this) += rhs; } constexpr modint operator-(const modint rhs) const noexcept { return modint(*this) -= rhs; } constexpr modint operator*(const modint rhs) const noexcept { return modint(*this) *= rhs; } constexpr modint operator/(const modint rhs) const noexcept { return modint(*this) /= rhs; } constexpr modint &operator+=(const modint rhs) noexcept { a += rhs.a; if (a >= Modulus) { a -= Modulus; } return *this; } constexpr modint &operator-=(const modint rhs) noexcept { if (a < rhs.a) { a += Modulus; } a -= rhs.a; return *this; } constexpr modint &operator*=(const modint rhs) noexcept { a = a * rhs.a % Modulus; return *this; } constexpr modint &operator/=(modint rhs) noexcept { u64 exp = Modulus - 2; while (exp) { if (exp % 2) { *this *= rhs; } rhs *= rhs; exp /= 2; } return *this; } }; using mint = modint; mint dp[2][10101]; int main(){ int n,K; cin >> n >> K; vl a(n); rep(i,n) cin >> a[i]; sort(rall(a)); dp[0][0] = 1; rep(i,n){ rep(j,10001) dp[1][j] = 0; rep(j,10001){ if(j+a[i]-K >= 0) dp[1][j+a[i]-K] += dp[0][j]; dp[1][j] += dp[0][j]; } swap(dp[0], dp[1]); } mint ans = 0; rep(i,10001) ans += dp[0][i]; ans -= 1; cout << ans.value() << "\n"; }