#include <algorithm> #include <atcoder/all> #include <bitset> #include <cassert> #include <cmath> #include <ctime> #include <functional> #include <iomanip> #include <iostream> #include <map> #include <queue> #include <random> #include <set> #include <stack> #include <string> #include <tuple> #include <unordered_map> #include <unordered_set> #include <utility> #include <vector> using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector<int> #define vs vector<string> #define vc vector<char> #define vl vector<ll> #define vb vector<bool> #define vvi vector<vector<int>> #define vvc vector<vector<char>> #define vvl vector<vector<ll>> #define vvb vector<vector<bool>> #define vvvi vector<vector<vector<int>>> #define vvvl vector<vector<vector<ll>>> #define pii pair<int, int> #define pil pair<int, ll> #define pli pair<ll, int> #define pll pair<ll, ll> #define vpii vector<pair<int, int>> #define vpll vector<pair<ll, ll>> #define vvpii vector<vector<pair<int, int>>> #define vvpll vector<vector<pair<ll, ll>>> // using mint = modint998244353; template <typename T> void debug(T e) { cerr << e << endl; } template <typename T> void debug(vector<T> &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template <typename T> void debug(vector<vector<T>> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template <typename T> void debug(vector<pair<T, T>> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template <typename T> void debug(set<T> &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template <typename T> void debug(multiset<T> &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template <typename T> void debug(map<T, T> &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; int main() { ll N, M; cin >> N >> M; vector<ll> B(M); vector<ll> C(M); for (ll i = 0; i < M; i++) { cin >> B[i] >> C[i]; } map<ll, ll> mp; ll now = 0; for (ll i = 0; i < M; i++) { mp[B[i]]++; mp[C[i]]++; } for (auto itr = mp.begin(); itr != mp.end(); itr++) { itr->second = now; now++; } vector<ll> rev(now); for (auto itr = mp.begin(); itr != mp.end(); itr++) { rev[itr->second] = itr->first; } scc_graph graph(now); // SCC して末端から順番に dp することで最終的な値がわかりそう for (ll i = 0; i < M; i++) { graph.add_edge(mp[B[i]], mp[C[i]]); } vector<vector<int>> sgraph = graph.scc(); ll len = sgraph.size(); vector<ll> belong(now); for (ll i = 0; i < len; i++) { for (ll x : sgraph[i]) { belong[x] = i; } } // 連結成分ごとにまとめたグラフを作る vector<vector<ll>> mgraph(len, vector<ll>(0)); for (ll i = 0; i < M; i++) { if (belong[mp[B[i]]] != belong[mp[C[i]]]) { mgraph[belong[mp[B[i]]]].push_back(belong[mp[C[i]]]); } } vector<ll> dp(len, 0); // とりあえず max でまとめておく for (ll i = 0; i < len; i++) { for (ll x : sgraph[i]) { dp[i] = max(dp[i], rev[x]); } } for (ll i = len - 1; i >= 0; i--) { for (ll x : mgraph[i]) { dp[i] = max(dp[i], dp[x]); } } ll ans = N * (N + 1) / 2; ll all_sum = 0; for (ll i = 0; i < now; i++) { all_sum += rev[i]; } ans -= all_sum; for (ll i = 0; i < len; i++) { ans += (ll)sgraph[i].size() * dp[i]; } cout << ans << endl; }