#![allow(clippy::many_single_char_names)] use std::cmp::Reverse; use std::collections::BinaryHeap; use std::io::Read as _; macro_rules! chmax { ($xmax:expr, $x:expr) => {{ if $xmax < $x { $xmax = $x; true } else { false } }}; } fn solve(n: usize, graph: &[Vec<(usize, u32)>]) -> (u32, u32) { let mut bests = vec![(0, Reverse(u32::MAX)); n]; let mut que = BinaryHeap::new(); bests[0] = (u32::MAX, Reverse(0)); que.push((u32::MAX, Reverse(0), 0)); while !que.is_empty() { let (w, Reverse(k), s) = que.pop().unwrap(); if (w, Reverse(k)) < bests[s] { continue; } dbg!((s, w, k)); for &(t, d) in &graph[s] { let w_new = w.min(d); let k_new = k + 1; if chmax!(bests[t], (w_new, Reverse(k_new))) { que.push((w_new, Reverse(k_new), t)); } } } let (ans_w, Reverse(ans_k)) = bests[n - 1]; (ans_w, ans_k) } fn main() { let mut input = String::new(); std::io::stdin().read_to_string(&mut input).unwrap(); let mut tokens = input.split_ascii_whitespace(); macro_rules! read { ($ty:ty) => {{ tokens.next().unwrap().parse::<$ty>().unwrap() }}; } let n = read!(usize); let m = read!(usize); let mut graph: Vec> = vec![vec![]; n]; for _ in 0..m { let s = read!(usize) - 1; let t = read!(usize) - 1; let d = read!(u32); graph[s].push((t, d)); graph[t].push((s, d)); } let (ans_w, ans_k) = solve(n, &graph); println!("{} {}", ans_w, ans_k); }