fn main() { let (n, m): (usize, usize) = io::input(); let m = m / 2; let a = (0..n).map(|_| io::input::()).collect::>(); let mut g = vec![Vec::new(); n]; for _ in 0..n - 1 { let (i, j, c): (usize, usize, usize) = io::input(); g[i].push((j, c)); g[j].push((i, c)); } let mut sorted = Vec::new(); let mut stack = vec![0]; while let Some(i) = stack.pop() { sorted.push(i); for (j, _) in g[i].clone() { g[j].retain(|&(k, _)| k != i); stack.push(j); } } let mut dp = vec![vec![i64::MIN; m + 1]; n]; for &x in sorted.iter().rev() { dp[x][0] = a[x]; for (y, c) in g[x].clone() { if m < c { continue; } for from in (0..=m - c).rev() { for i in 0..=m - c - from { let to = from + c + i; dp[x][to] = dp[x][to].max(dp[x][from] + dp[y][i]); } } } } let ans = *dp[0].iter().max().unwrap(); println!("{}", ans); } // io {{{ // https://ngtkana.github.io/ac-adapter-rs/io/index.html #[allow(dead_code)] mod io { use std::cell::Cell; use std::io::stdin; use std::io::BufRead; use std::io::BufReader; use std::io::Lines; use std::io::Stdin; use std::sync::Mutex; use std::sync::Once; pub fn input() -> T { ParseLine::parse_line(&line()) } pub trait ParseLine { fn parse_line(s: &str) -> Self; } macro_rules! impl_parse_line { ($($t:ty),*) => { $(impl ParseLine for $t { fn parse_line(s: &str) -> Self { s.parse().unwrap() } })* }; } impl_parse_line!(u8, u16, u32, u64, u128, usize, i8, i16, i32, i64, i128, isize, String, char); macro_rules! impl_parse_line_tuple { ($($t:ident),*) => { impl<$($t: ParseLine),*> ParseLine for ($($t,)*) { fn parse_line(s: &str) -> Self { let mut s = s.split_whitespace(); ($($t::parse_line(s.next().unwrap()),)*) } } }; } impl_parse_line_tuple!(T0, T1); impl_parse_line_tuple!(T0, T1, T2); impl_parse_line_tuple!(T0, T1, T2, T3); impl_parse_line_tuple!(T0, T1, T2, T3, T4); impl_parse_line_tuple!(T0, T1, T2, T3, T4, T5); impl_parse_line_tuple!(T0, T1, T2, T3, T4, T5, T6); impl_parse_line_tuple!(T0, T1, T2, T3, T4, T5, T6, T7); impl_parse_line_tuple!(T0, T1, T2, T3, T4, T5, T6, T7, T8); impl_parse_line_tuple!(T0, T1, T2, T3, T4, T5, T6, T7, T8, T9); impl ParseLine for Vec { fn parse_line(s: &str) -> Self { s.split_whitespace().map(T::parse_line).collect() } } static ONCE: Once = Once::new(); type Server = Mutex>>; struct Lazy(Cell>); unsafe impl Sync for Lazy {} fn line() -> String { static SYNCER: Lazy = Lazy(Cell::new(None)); ONCE.call_once(|| { SYNCER .0 .set(Some(Mutex::new(BufReader::new(stdin()).lines()))); }); unsafe { (*SYNCER.0.as_ptr()) .as_ref() .unwrap() .lock() .unwrap() .next() .unwrap() .unwrap() } } } // }}}