#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; constexpr int INF = 1001001001; constexpr int mod = 1000000007; // constexpr int mod = 998244353; template inline bool chmax(T& x, T y){ if(x < y){ x = y; return true; } return false; } template inline bool chmin(T& x, T y){ if(x > y){ x = y; return true; } return false; } struct mint { int x; mint() : x(0) {} mint(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} mint& operator+=(const mint& p){ if((x += p.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint& p){ if((x -= p.x) < 0) x += mod; return *this; } mint& operator*=(const mint& p){ x = (int)(1LL * x * p.x % mod); return *this; } mint& operator/=(const mint& p){ *this *= p.inverse(); return *this; } mint operator-() const { return mint(-x); } mint operator+(const mint& p) const { return mint(*this) += p; } mint operator-(const mint& p) const { return mint(*this) -= p; } mint operator*(const mint& p) const { return mint(*this) *= p; } mint operator/(const mint& p) const { return mint(*this) /= p; } bool operator==(const mint& p) const { return x == p.x; } bool operator!=(const mint& p) const { return x != p.x; } mint pow(int64_t n) const { mint res = 1, mul = x; while(n > 0){ if(n & 1) res *= mul; mul *= mul; n >>= 1; } return res; } mint inverse() const { return pow(mod - 2); } friend ostream& operator<<(ostream& os, const mint& p){ return os << p.x; } friend istream& operator>>(istream& is, mint& p){ int64_t val; is >> val; p = mint(val); return is; } }; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int N, M; cin >> N >> M; vector U(N); for(int i = 0; i < N; ++i) cin >> U[i]; using edge = pair; vector> g(N); for(int i = 1; i < N; ++i){ int A, B, C; cin >> A >> B >> C; g[A].emplace_back(B, C); g[B].emplace_back(A, C); } vector> dp(N, vector(M + 1)); for(int i = 0; i < N; ++i) dp[i][0] = U[i]; auto dfs = [&](auto&& self, int from = 0, int par = -1) -> void { for(auto& [to, cost] : g[from]){ if(to != par) self(self, to, from); } for(auto& [to, cost] : g[from]){ if(to == par) continue; for(int i = M; i >= 0; --i){ for(int j = 0; i + j + cost * 2 <= M; ++j){ chmax(dp[from][i + j + cost * 2], dp[from][i] + dp[to][j]); } } } for(int i = 0; i < M; ++i){ chmax(dp[from][i + 1], dp[from][i]); } }; dfs(dfs); cout << dp[0][M] << endl; return 0; }