// Template #include "bits/stdc++.h" #define rep_override(x, y, z, name, ...) name #define rep2(i, n) for (int i = 0; i < (int)(n); ++i) #define rep3(i, l, r) for (int i = (int)(l); i < (int)(r); ++i) #define rep(...) rep_override(__VA_ARGS__, rep3, rep2)(__VA_ARGS__) #define per(i, n) for (ll i = (ll)(n) - 1; i >= 0; --i) #define all(x) (x).begin(), (x).end() using namespace std; using ll = long long; constexpr int inf = 1001001001; constexpr ll INF = 3003003003003003003LL; template inline bool chmin(T &x, const T &y) { if (x > y) { x = y; return true; } return false; } template inline bool chmax(T &x, const T &y) { if (x < y) { x = y; return true; } return false; } struct IOSET { IOSET() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); } } ioset; // Mod-Int template // MOD > 1 struct ModInt { long long val; ModInt() = default; ModInt(long long x) : val(x % MOD + (x < 0 ? MOD : 0)) {} ModInt &operator+= (const ModInt &x) { if ((val += x.val) >= MOD) val -= MOD; return *this; } ModInt &operator-= (const ModInt &x) { if ((val -= x.val) < 0) val += MOD; return *this; } ModInt &operator*= (const ModInt &x) { (val *= x.val) %= MOD; return *this; } ModInt operator+ (const ModInt &x) const { return ModInt(*this) += x; } ModInt operator- (const ModInt &x) const { return ModInt(*this) -= x; } ModInt operator* (const ModInt &x) const { return ModInt(*this) *= x; } ModInt pow(long long t) const { assert(t >= 0); ModInt res(1), now(*this); while (t) { if (t & 1) res *= now; now *= now; t >>= 1; } return res; } ModInt inv() const { return pow(MOD - 2); } ModInt &operator/= (const ModInt &x) { return *this *= x.pow(MOD - 2); } ModInt operator/ (const ModInt &x) const { return ModInt(*this) /= x; } friend std::istream &operator>> (std::istream &is, ModInt &x) { long long a; is >> a; x = ModInt(a); return is; } friend std::ostream &operator<< (std::ostream &os, const ModInt &x) { os << x.val; return os; } }; constexpr int mod = 1000000007; using mint = ModInt; constexpr int maxa = 100; // Main int main() { int n, k; cin >> n >> k; vector a(n); rep(i, n) cin >> a[i]; vector> dp(n + 1, vector(maxa * n + 1, mint(0))); dp[0][0] = mint(1); rep(i, n) { vector> newdp(n + 1, vector(maxa * n + 1, mint(0))); rep(j, n) rep(k, maxa * i + 1) { newdp[j][k] += dp[j][k]; newdp[j + 1][k + a[i]] += dp[j][k]; } swap(dp, newdp); } mint ans(0); rep(i, 1, n + 1) rep(j, maxa * n + 1) if (j >= k * i) ans += dp[i][j]; cout << ans << "\n"; }