#![allow(unused_imports)]
// use itertools::Itertools;
// use proconio::input;
// use proconio::marker::*;
use std::cmp::Reverse;
use std::collections::*;

fn main() {
    let nm = read_ints();
    let n = nm[0];
    let m = nm[1];
    let mut u = vec![0; n];
    for i in 0..n {
        let ui = read_int();
        u[i] = ui;
    }

    let mut g = vec![vec![]; n];
    for _ in 0..n - 1 {
        let abc = read_ints();
        g[abc[0]].push((abc[1], abc[2]));
        g[abc[1]].push((abc[0], abc[2]));
    }

    let mut dp = vec![vec![0; m + 1]; n];

    f(&g, &u, m, 0, n, &mut dp);
    let ans = dp[0][m];
    println!("{}", ans);
}

fn f(
    g: &Vec<Vec<(usize, usize)>>,
    u: &Vec<usize>,
    m: usize,
    crr: usize,
    prv: usize,
    dp: &mut Vec<Vec<usize>>,
) {
    for &(nxt, _) in g[crr].iter() {
        if prv == nxt {
            continue;
        }

        f(g, u, m, nxt, crr, dp);
    }

    for &(nxt, cost) in g[crr].iter() {
        for s in (0..=m).rev() {
            for t in (0..=m).take_while(|&t| s >= t + 2 * cost) {
                dp[crr][s] = dp[crr][s].max(dp[nxt][t] + dp[crr][s - (t + 2 * cost)])
            }
        }
    }

    for t in 0..=m {
        dp[crr][t] += u[crr];
    }
}

use std::io;
fn read_ints() -> Vec<usize> {
    let mut buf = String::new();
    io::stdin().read_line(&mut buf).unwrap();
    buf.trim()
        .split_whitespace()
        .map(|s| s.parse().unwrap())
        .collect()
}

fn read_int() -> usize {
    let mut buffer = String::new();
    io::stdin().read_line(&mut buffer).unwrap();
    buffer.trim().parse().unwrap()
}