#![allow(unused_imports)] #![allow(non_snake_case)] use std::cmp::*; use std::collections::*; use std::io::Write; #[allow(unused_macros)] macro_rules! debug { ($($e:expr),*) => { #[cfg(debug_assertions)] $({ let (e, mut err) = (stringify!($e), std::io::stderr()); writeln!(err, "{} = {:?}", e, $e).unwrap() })* }; } fn main() { let v = read_vec::(); let (n, m) = (v[0], v[1] as usize); let mut edges = vec![]; for i in 0..m { let v = read_vec::(); let (b, c) = (v[0], v[1]); edges.push((b, c)); } let mut used = edges.iter().map(|x| x.0).collect::>(); used.append(&mut edges.iter().map(|x| x.1).collect::>()); used.sort(); used.dedup(); let mut compress_dict = BTreeMap::new(); for i in 0..used.len() { compress_dict.insert(used[i], i); } let mut g = vec![vec![]; compress_dict.len()]; for &(b, c) in &edges { let from_idx = compress_dict[&b]; let to_idx = compress_dict[&c]; g[from_idx].push(to_idx); } let cmp = scc(&g); let mut indexes = (0..compress_dict.len()).collect::>(); indexes.sort_by_key(|&x| cmp[x]); indexes.reverse(); let cmp_max = *cmp.iter().max().unwrap(); let mut accum_max = vec![0; cmp_max + 1]; for &idx in &indexes { accum_max[cmp[idx]] = max(used[idx], accum_max[cmp[idx]]); } for idx in indexes { for &to in &g[idx] { accum_max[cmp[idx]] = max(accum_max[cmp[to]], accum_max[cmp[idx]]); } } let mut ans = n * (n + 1) / 2; let mut used_b = HashSet::new(); for (b, _) in edges { if used_b.contains(&b) { continue; } ans -= b; ans += accum_max[cmp[compress_dict[&b]]]; used_b.insert(b); } println!("{}", ans); } fn scc(g: &[Vec]) -> Vec { fn dfs(v: usize, g: &[Vec], vs: &mut Vec, used: &mut [bool]) { used[v] = true; for &to in &g[v] { if !used[to] { dfs(to, g, vs, used); } } vs.push(v); } fn rdfs(v: usize, k: usize, g_rev: &[Vec], cmp: &mut [usize], used: &mut [bool]) { used[v] = true; cmp[v] = k; for &to in &g_rev[v] { if !used[to] { rdfs(to, k, g_rev, cmp, used); } } } let g_rev = { let mut g_rev = vec![Vec::new(); g.len()]; for (i, es) in g.iter().enumerate() { for &to in es { g_rev[to].push(i); } } g_rev }; let mut vs = Vec::new(); let mut used = vec![false; g.len()]; for v in 0..g.len() { if !used[v] { dfs(v, g, &mut vs, &mut used); } } let mut used = vec![false; g.len()]; let mut cmp = vec![0; g.len()]; let mut k = 0; for &v in vs.iter().rev() { if !used[v] { rdfs(v, k, &g_rev, &mut cmp, &mut used); k += 1; } } cmp } fn read() -> T { let mut s = String::new(); std::io::stdin().read_line(&mut s).ok(); s.trim().parse().ok().unwrap() } fn read_vec() -> Vec { read::() .split_whitespace() .map(|e| e.parse().ok().unwrap()) .collect() }