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

fn main() {
    input!{
        n:usize,
        m:usize,
        u:[usize;n],
        uvw:[(usize,usize,usize);n-1],
    }

    let mut g=vec![vec![];n];
    for (u,v,w) in uvw{
        g[u].push((v,w));
        g[v].push((u,w))
    }

    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..).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];
    }
}

mod input{
    #[macro_export]
    macro_rules! input {
        (source = $s:expr, $($r:tt)*) => {
            let mut iter = $s.split_whitespace();
            input_inner!{iter, $($r)*}
        };
        ($($r:tt)*) => {
            let s = {
                use std::io::Read;
                let mut s = String::new();
                std::io::stdin().read_to_string(&mut s).unwrap();
                s
            };
            let mut iter = s.split_whitespace();
            input_inner!{iter, $($r)*}
        };
    }
    
    #[macro_export]
    macro_rules! input_inner {
        ($iter:expr) => {};
        ($iter:expr, ) => {};
    
        ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
            let $var = read_value!($iter, $t);
            input_inner!{$iter $($r)*}
        };
    }
    
    #[macro_export]
    macro_rules! read_value {
        ($iter:expr, ( $($t:tt),* )) => {
            ( $(read_value!($iter, $t)),* )
        };
    
        ($iter:expr, [ $t:tt ; $len:expr ]) => {
            (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
        };
    
        ($iter:expr, chars) => {
            read_value!($iter, String).chars().collect::<Vec<char>>()
        };
    
        ($iter:expr, usize1) => {
            read_value!($iter, usize) - 1
        };
    
        ($iter:expr, $t:ty) => {
            $iter.next().unwrap().parse::<$t>().expect("Parse error")
        };
    }
    
}