#[allow(unused_imports)] use std::cmp::{max, min, Ordering}; #[allow(unused_imports)] use std::collections::{HashMap, HashSet}; mod util { use std::io::stdin; use std::str::FromStr; use std::fmt::Debug; #[allow(dead_code)] pub fn line() -> String { let mut line: String = String::new(); stdin().read_line(&mut line).unwrap(); line.trim().to_string() } #[allow(dead_code)] pub fn get() -> T where ::Err: Debug, { let mut line: String = String::new(); stdin().read_line(&mut line).unwrap(); line.trim().parse().unwrap() } #[allow(dead_code)] pub fn gets() -> Vec where ::Err: Debug, { let mut line: String = String::new(); stdin().read_line(&mut line).unwrap(); line.split_whitespace() .map(|t| t.parse().unwrap()) .collect() } #[allow(dead_code)] pub fn get2() -> (T, U) where ::Err: Debug, ::Err: Debug, { let mut line: String = String::new(); stdin().read_line(&mut line).unwrap(); let mut iter = line.split_whitespace(); ( iter.next().unwrap().parse().unwrap(), iter.next().unwrap().parse().unwrap(), ) } #[allow(dead_code)] pub fn get3() -> (S, T, U) where ::Err: Debug, ::Err: Debug, ::Err: Debug, { let mut line: String = String::new(); stdin().read_line(&mut line).unwrap(); let mut iter = line.split_whitespace(); ( iter.next().unwrap().parse().unwrap(), iter.next().unwrap().parse().unwrap(), iter.next().unwrap().parse().unwrap(), ) } } // std::cmp::Reverse doesn't have Clone. #[derive(Eq, PartialEq, Clone)] struct Rev(pub T); impl PartialOrd for Rev { fn partial_cmp(&self, other: &Rev) -> Option { other.0.partial_cmp(&self.0) } } impl Ord for Rev { fn cmp(&self, other: &Rev) -> Ordering { other.0.cmp(&self.0) } } #[allow(unused_macros)] macro_rules! debug { ($x: expr) => { println!("{}: {:?}", stringify!($x), $x) } } fn dfs( i: usize, edges_rev: &Vec>, memo: &mut HashMap, path: &mut Vec>, ) -> usize { if let Some(&t) = memo.get(&i) { return t; } let l = edges_rev[i] .iter() .map(|&(a, c)| (dfs(a, edges_rev, memo, path) + c, a)) .collect::>(); let longest = l.iter().map(|t| t.0).max().unwrap_or(0); for &(_, a) in l.iter().filter(|t| t.0 == longest) { path[i].push(a); } memo.insert(i, longest); longest } fn dfs2(i: usize, critical_edges: &Vec>, visited: &mut [bool]) { if visited[i] { return; } visited[i] = true; for &a in &critical_edges[i] { dfs2(a, critical_edges, visited); } } fn main() { let (n, m): (usize, usize) = util::get2(); let abc: Vec<(usize, usize, usize)> = (0..m).map(|_| util::get3()).collect(); let mut edges_rev = vec![Vec::new(); n]; let mut critical_edges = vec![Vec::new(); n]; let mut memo = HashMap::new(); let mut visited = vec![false; n]; for &(a, b, c) in &abc { edges_rev[b].push((a, c)); } let t = dfs(n - 1, &edges_rev, &mut memo, &mut critical_edges); dfs2(n - 1, &critical_edges, &mut visited); println!("{} {}/{}", t, n - visited.iter().filter(|&&b| b).count(), n); }