#[allow(unused_imports)] use std::cmp::*; #[allow(unused_imports)] use std::collections::*; use std::io::{Write, BufWriter}; // https://qiita.com/tanakh/items/0ba42c7ca36cd29d0ac8 macro_rules! input { ($($r:tt)*) => { let stdin = std::io::stdin(); let mut bytes = std::io::Read::bytes(std::io::BufReader::new(stdin.lock())); let mut next = move || -> String{ bytes .by_ref() .map(|r|r.unwrap() as char) .skip_while(|c|c.is_whitespace()) .take_while(|c|!c.is_whitespace()) .collect() }; input_inner!{next, $($r)*} }; } macro_rules! input_inner { ($next:expr) => {}; ($next:expr, ) => {}; ($next:expr, $var:ident : $t:tt $($r:tt)*) => { let $var = read_value!($next, $t); input_inner!{$next $($r)*} }; } macro_rules! read_value { ($next:expr, ( $($t:tt),* )) => { ( $(read_value!($next, $t)),* ) }; ($next:expr, [ $t:tt ; $len:expr ]) => { (0..$len).map(|_| read_value!($next, $t)).collect::>() }; ($next:expr, chars) => { read_value!($next, String).chars().collect::>() }; ($next:expr, usize1) => { read_value!($next, usize) - 1 }; ($next:expr, [ $t:tt ]) => {{ let len = read_value!($next, usize); (0..len).map(|_| read_value!($next, $t)).collect::>() }}; ($next:expr, $t:ty) => { $next().parse::<$t>().expect("Parse error") }; } #[allow(unused)] macro_rules! debug { ($($format:tt)*) => (write!(std::io::stderr(), $($format)*).unwrap()); } #[allow(unused)] macro_rules! debugln { ($($format:tt)*) => (writeln!(std::io::stderr(), $($format)*).unwrap()); } macro_rules! chmin { ($x:expr,$y:expr) => { let val = min($x,$y); $x = val; } } fn solve() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts { ($($format:tt)*) => (let _ = write!(out,$($format)*);); } input! { n: usize, v: usize, l: i64, xvw: [(i64, i64, i64); n], } let mut xvw = xvw; xvw.insert(0, (0, 0, 0)); xvw.push((l, 0, 0)); let n = xvw.len(); const INF: i64 = 1 << 50; let mut dp = vec![vec![INF; v + 1]; n]; dp[0][v] = 0; for i in 0..n - 1 { let (xi, _vi, _wi) = xvw[i]; let (xn, vn, wn) = xvw[i + 1]; for j in 0..v + 1 { if dp[i][j] >= INF { continue; } let to = j as i64 - xn + xi; if to < 0 { continue; } chmin!(dp[i + 1][to as usize], dp[i][j]); let to = min(v, (to + vn) as usize); chmin!(dp[i + 1][to], dp[i][j] + wn); } } let &mi = dp[n - 1].iter().min().unwrap(); puts!("{}\n", if mi >= INF { -1 } else { mi }); } fn main() { // In order to avoid potential stack overflow, spawn a new thread. let stack_size = 104_857_600; // 100 MB let thd = std::thread::Builder::new().stack_size(stack_size); thd.spawn(|| solve()).unwrap().join().unwrap(); }