use std::cmp::*; 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, usize1) => (read_value!($next, usize) - 1); ($next:expr, $t:ty) => ($next().parse::<$t>().expect("Parse error")); } // https://yukicoder.me/problems/no/1393 (4) // x 以下を -1、x より大きい辺を +1 としたとき、1 からの距離が 0 以下であることが median <= x の必要十分条件。辺の重みの小さい方から試していけば、インクリメンタルに重み -1 の辺を追加するだけで良いので速そう。ダイクストラ法を使いたいので、ポテンシャルの設定が必要かも。 fn main() { let out = std::io::stdout(); let mut out = BufWriter::new(out.lock()); macro_rules! puts {($($format:tt)*) => (let _ = write!(out,$($format)*););} input! { n: usize, m: usize, uvw: [(usize1, usize1, i64); m], } let mut uvw = uvw; uvw.sort_by_key(|x| x.2); let mut g = vec![vec![]; n]; for &(u, v, _) in &uvw { g[u].push((v, 1)); } const INF: i32 = 1 << 10; let mut h = vec![INF; n]; let mut que = VecDeque::new(); que.push_back((0, 0)); while let Some((d, v)) = que.pop_front() { if h[v] <= d { continue; } h[v] = d; for &(w, _) in &g[v] { que.push_back((d + 1, w)); } } let mut dist = vec![0; n]; let mut ans = vec![-1; n]; let mut que = BinaryHeap::new(); for &(u, v, w) in &uvw { if h[u] >= INF { continue; } let idx = g[u].iter().position(|x| x.0 == v).unwrap(); assert_eq!(g[u][idx], (v, 1)); g[u][idx].1 = -1; que.push((Reverse(max(-INF, dist[u] + h[u] - 1) - h[v]), v)); loop { let mut found = false; while let Some((Reverse(d), a)) = que.pop() { if a == u && d < dist[u] { found = true; break; } if dist[a] <= d { continue; } dist[a] = d; for &(w, c) in &g[a] { let nd = if d + h[a] == -INF { -INF - h[w] } else { d + c + h[a] - h[w] }; if dist[w] > nd { que.push((Reverse(nd), w)); } } } if !found { break; } h[u] = -INF; dist[u] = 0; que.clear(); for &(w, _) in &g[u] { que.push((Reverse(-INF - h[w]), w)); } } for i in 0..n { h[i] += dist[i]; dist[i] = 0; } for i in 0..n { if ans[i] == -1 && h[i] <= 0 { ans[i] = w; } } que.clear(); } for i in 1..n { puts!("{}\n", ans[i]); } }