#![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..=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];
    }
}

#[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")
    };
}