using System;
using System.IO;
using System.Linq;
using System.Text;
using System.Text.RegularExpressions;
using System.Collections.Generic;
using System.Diagnostics;
using Enu = System.Linq.Enumerable;

public class Program
{
    int N, T;
    int[] A;
    List<Edge>[] E;

    public void Solve()
    {
        N = Reader.Int();
        T = Reader.Int() / 2;
        A = Reader.IntArray(N);
        E = Enu.Range(0, N).Select(i => new List<Edge>()).ToArray();
        for (int i = 0; i < N - 1; i++)
        {
            int a = Reader.Int(), b = Reader.Int(), c = Reader.Int();
            E[a].Add(new Edge(b, c));
            E[b].Add(new Edge(a, c));
        }
        Console.WriteLine(Rec(0, -1, T).Max());
    }

    private long[] Rec(int a, int parent, int maxT)
    {
        if (maxT < 0) return new long[0];
        var dp = new long[maxT + 1];
        dp[0] = A[a];

        foreach (var e in E[a])
            if (e.to != parent)
            {
                var child = Rec(e.to, a, maxT - e.cost);
                for (int t = maxT; t >= 0; t--)
                    for (int use = 0; use < child.Length; use++)
                        if (t + e.cost + use <= maxT)
                            CheckMax(ref dp[t + e.cost + use], dp[t] + child[use]);
            }

        return dp;
    }

    bool CheckMax(ref long a, long b) { if (b > a) { a = b; return true; } return false; }

    struct Edge
    {
        public int to;
        public int cost;
        public Edge(int to, int c)
        {
            this.to = to; this.cost = c;
        }
    }

}

class Entry { static void Main() { new Program().Solve(); } }
class Reader
{
    static TextReader reader = Console.In;
    static readonly char[] separator = { ' ' };
    static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries;
    static string[] A = new string[0];
    static int i;
    static void Init() { A = new string[0]; }
    public static void Set(TextReader r) { reader = r; Init(); }
    public static void Set(string file) { reader = new StreamReader(file); Init(); }
    public static bool HasNext() { return CheckNext(); }
    public static string String() { return Next(); }
    public static int Int() { return int.Parse(Next()); }
    public static long Long() { return long.Parse(Next()); }
    public static double Double() { return double.Parse(Next()); }
    public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); }
    public static int[] IntArray(int N) { return Range(N, Int); }
    public static int[][] IntTable(int H) { return Range(H, IntLine); }
    public static string[] StringArray(int N) { return Range(N, Next); }
    public static string[][] StringTable(int N) { return Range(N, () => Split(Line())); }
    public static string Line() { return reader.ReadLine().Trim(); }
    static string[] Split(string s) { return s.Split(separator, op); }
    static T[] Range<T>(int N, Func<T> f) { var r = new T[N]; for (int i = 0; i < N; r[i++] = f()) ; return r; }
    static string Next() { CheckNext(); return A[i++]; }
    static bool CheckNext()
    {
        if (i < A.Length) return true;
        string line = reader.ReadLine();
        if (line == null) return false;
        if (line == "") return CheckNext();
        A = Split(line);
        i = 0;
        return true;
    }
}