#include #include #include #include #include #include #include #include #include #include #include #define rep(i,n) for(int i = 0; i < n; ++i) #define rep1(i,n) for(int i = 1; i <= n; ++i) using namespace std; templatebool chmax(T &a, const T &b) { if(a < b){ a = b; return 1; } return 0; } templatebool chmin(T &a, const T &b) { if(a > b){ a = b; return 1; } return 0; } template inline int sz(T &a) { return a.size(); } using ll = long long; using ld = long double; using pi = pair; using pl = pair; using vi = vector; using vvi = vector; using vl = vector; using vvl = vector; const int inf = numeric_limits::max(); const ll infll = numeric_limits::max(); // Modint // modint で宣言 template struct modint{ ll x; ll mod = MOD; modint(ll x=0):x(x%MOD){} modint& operator+=(const modint a){ if((x+=a.x)>=MOD) x-=MOD; return *this; } modint& operator-=(const modint a){ if((x += MOD-a.x)>=MOD) x-=MOD; return *this; } modint& operator*=(const modint a){ (x*=a.x)%=MOD; return *this; } modint operator+(const modint a) const{ modint res(*this); return res+=a; } modint operator-(const modint a) const{ modint res(*this); return res-=a; } modint operator*(const modint a) const{ modint res(*this); return res*=a; } modint pow(ll t) const{ if(!t) return 1; modint a = pow(t>>1); a*=a; if(t&1) a*=*this; return a; } //for prime mod modint inv() const{ return pow(MOD-2); } modint& operator/=(const modint a){ return (*this) *= a.inv(); } modint operator/(const modint a) const{ modint res(*this); return res/=a; } }; using mint = modint<1000000007>; int main() { int n,k; cin >> n >> k; vi a(n); rep(i,n) cin >> a[i]; vector> dp1(n+1, vector(10001)); dp1[0][0].x = 1; rep(c,n) { vector> dp2(n+1, vector(10001)); rep(i,n) { rep(j,10001) { if(j + a[c] <= 10000) { dp2[i+1][j+a[c]] += dp1[i][j]; } dp2[i][j] += dp1[i][j]; } } swap(dp1, dp2); } mint res; rep1(i,n) { rep(j,10001) { if(j / i >= k) res += dp1[i][j]; } } cout << res.x << "\n"; return 0; }