//#define _GLIBCXX_DEBUG #include #define rep(i, n) for(int i=0; i; using vs = vector; using vi = vector; using vvi = vector; template using PQ = priority_queue; template using PQG = priority_queue, greater >; const int INF = 0xccccccc; const ll LINF = 922337203685477580LL; template inline bool chmax(T1 &a, T2 b) {return a < b && (a = b, true);} template inline bool chmin(T1 &a, T2 b) {return a > b && (a = b, true);} template istream &operator>>(istream &is, pair &p) { return is >> p.first >> p.second;} template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second;} struct UnionFind { vector par; // 親を指すvector,-par[親]は木のサイズ UnionFind(int n):par(n, -1) {} // uniteで親を埋め込んでいく必要あり int root(int x) { // 親をたどる&データの整理 if(par[x] < 0) return x; return par[x] = root(par[x]); } bool unite(int x, int y) { // データの結合 x = root(x); y = root(y); if(x == y) return false; if(x < y) swap(x, y); par[x] += par[y]; par[y] = x; return true; } bool same(int x, int y) {return root(x) == root(y);} // 所属判定 int size(int x) {return -par[root(x)];} // 木のサイズ }; #define M 200100 #define MM 400100 //head int n, m, X; int b[M], c[M]; ll ans; stack st; bitset check; vi xs, G[MM], rG[MM]; vi Graph[MM]; UnionFind uft(MM); int memo[MM]; void dfs1(int i) { for(int ne:G[i]) if(!check.test(ne)) { check.set(ne); dfs1(ne); } st.emplace(i); } void dfs2(int i) { for(int ne:rG[i]) if(check.test(ne)) { check.flip(ne); uft.unite(i, ne); dfs2(ne); } } int dfs3(int i) { if(memo[i] != -1) return memo[i]; int &res = memo[i] = xs[i]; for(int ne:Graph[i]) { chmax(res, dfs3(ne)); } ans += res-xs[i]; return res; } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> m; ans = (ll)n*(n+1)>>1; rep(i, m) cin >> b[i] >> c[i]; auto compress = [&](int *x1, int *x2) { rep(i_, m) { xs.push_back(x1[i_]); xs.push_back(x2[i_]); } sort(all(xs)); xs.erase(unique(all(xs)), xs.end()); rep(i_, m) { x1[i_] = lower_bound(all(xs), x1[i_]) - xs.begin(); x2[i_] = lower_bound(all(xs), x2[i_]) - xs.begin(); } }; compress(b, c); X = xs.size(); rep(i, m) { G[b[i]].emplace_back(c[i]); rG[c[i]].emplace_back(b[i]); } rep(i, X) if(!check.test(i)) { check.set(i); dfs1(i); } while(!st.empty()) { int now = st.top(); st.pop(); if(check.test(now)) { check.flip(now); dfs2(now); } } rep(i, X) { int u = i; if(uft.root(u) != i) { u = uft.root(u); Graph[i].emplace_back(u); } for(int ne:G[i]) { if(uft.root(ne) == u) continue; Graph[u].emplace_back(uft.root(ne)); } } memset(memo, -1, sizeof(memo)); rep(i, X) { dfs3(i); } cout << ans << endl; }