#![allow(non_snake_case, unused_must_use, unused_imports)] use std::io::{self, prelude::*}; fn main() { let (stdin, stdout) = (io::read_to_string(io::stdin()).unwrap(), io::stdout()); let (mut stdin, mut buffer) = (stdin.split_whitespace(), io::BufWriter::new(stdout.lock())); macro_rules! input { ($t: tt, $n: expr) => { (0..$n).map(|_| input!($t)).collect::>() }; (Chars) => { input!(String).chars().collect::>() }; (Usize1) => { stdin.next().unwrap().parse::().unwrap() - 1 }; ($t: ty) => { stdin.next().unwrap().parse::<$t>().unwrap() }; } let N = input!(usize); let M = input!(usize); let C = input!(usize); let mut edges = vec![]; let mut edges2 = vec![]; for _ in 0..M { let u = input!(Usize1); let v = input!(Usize1); let w = input!(usize); edges2.push((u, v, w + C)); edges2.push((v, u, w + C)); edges.push((u, v, w + C)); edges.push((v, u, w + C)); edges.push((u + N, v + N, w + C)); edges.push((v + N, u + N, w + C)); edges.push((u, v + N, C)); edges.push((v, u + N, C)); } let dist1 = dijkstras_algorithm(2 * N, &edges, N - 1); let dist2 = dijkstras_algorithm(2 * N, &edges2, 0); for i in 1..N { let ans2 = dist2[N - 1].unwrap(); let ans1 = dist2[i].unwrap() + dist1[i + N].unwrap(); writeln!(buffer, "{}", std::cmp::min(ans1, ans2)); } } pub fn dijkstras_algorithm< W: Sized + std::ops::Add + PartialOrd + Ord + Default + Clone + Copy, >( size: usize, edges: &[(usize, usize, W)], start: usize, ) -> Vec> { assert!(start < size); let graph = { let mut g = vec![vec![]; size]; for &(from, to, weight) in edges.iter() { assert!(from < size && to < size); g[from].push((to, weight)); } g }; let mut dist = vec![None; size]; dist[start] = Some(W::default()); let mut hq = std::collections::BinaryHeap::new(); hq.push((std::cmp::Reverse(W::default()), start)); while let Some((_, now)) = hq.pop() { for &(nxt, weight) in graph[now].iter() { match dist[nxt] { Some(prev_dist) => { if dist[now].unwrap() + weight < prev_dist { let d = dist[now].unwrap() + weight; dist[nxt] = Some(d); hq.push((std::cmp::Reverse(d), nxt)); } } None => { let d = dist[now].unwrap() + weight; dist[nxt] = Some(d); hq.push((std::cmp::Reverse(d), nxt)); } } } } dist }