#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include 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 #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> // using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } using mint = modint998244353; int main() { ll N, M; cin >> N >> M; vector B(M); vector C(M); for (ll i = 0; i < M; i++) { cin >> B[i] >> C[i]; } map 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 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> sgraph = graph.scc(); ll len = sgraph.size(); vector 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> mgraph(len, vector(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 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; }