#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math") #include using namespace std; #define rep(i, n) for (int i = 0; i < int(n); i++) #define per(i, n) for (int i = (n)-1; 0 <= i; i--) #define rep2(i, l, r) for (int i = (l); i < int(r); i++) #define per2(i, l, r) for (int i = (r)-1; int(l) <= i; i--) #define each(e, v) for (auto& e : v) #define MM << " " << #define pb push_back #define eb emplace_back #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #define sz(x) (int)x.size() template void print(const vector& v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } using ll = long long; using pii = pair; using pll = pair; template bool chmax(T& x, const T& y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T& x, const T& y) { return (x > y) ? (x = y, true) : false; } template using minheap = std::priority_queue, std::greater>; template using maxheap = std::priority_queue; template int lb(const vector& v, T x) { return lower_bound(begin(v), end(v), x) - begin(v); } template int ub(const vector& v, T x) { return upper_bound(begin(v), end(v), x) - begin(v); } template void rearrange(vector& v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } // __int128_t gcd(__int128_t a, __int128_t b) { // if (a == 0) // return b; // if (b == 0) // return a; // __int128_t cnt = a % b; // while (cnt != 0) { // a = b; // b = cnt; // cnt = a % b; // } // return b; // } long long extGCD(long long a, long long b, long long& x, long long& y) { if (b == 0) { x = 1; y = 0; return a; } long long d = extGCD(b, a % b, y, x); y -= a / b * x; return d; } struct UnionFind { vector data; int num; UnionFind(int sz) { data.assign(sz, -1); num = sz; } bool unite(int x, int y) { x = find(x), y = find(y); if (x == y) return (false); if (data[x] > data[y]) swap(x, y); data[x] += data[y]; data[y] = x; num--; return (true); } int find(int k) { if (data[k] < 0) return (k); return (data[k] = find(data[k])); } int size(int k) { return (-data[find(k)]); } bool same(int x, int y) { return find(x) == find(y); } int operator[](int k) { return find(k); } }; template struct Mod_Int { int x; Mod_Int() : x(0) {} Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} static int get_mod() { return mod; } Mod_Int& operator+=(const Mod_Int& p) { if ((x += p.x) >= mod) x -= mod; return *this; } Mod_Int& operator-=(const Mod_Int& p) { if ((x += mod - p.x) >= mod) x -= mod; return *this; } Mod_Int& operator*=(const Mod_Int& p) { x = (int)(1LL * x * p.x % mod); return *this; } Mod_Int& operator/=(const Mod_Int& p) { *this *= p.inverse(); return *this; } Mod_Int& operator++() { return *this += Mod_Int(1); } Mod_Int operator++(int) { Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int& operator--() { return *this -= Mod_Int(1); } Mod_Int operator--(int) { Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator-() const { return Mod_Int(-x); } Mod_Int operator+(const Mod_Int& p) const { return Mod_Int(*this) += p; } Mod_Int operator-(const Mod_Int& p) const { return Mod_Int(*this) -= p; } Mod_Int operator*(const Mod_Int& p) const { return Mod_Int(*this) *= p; } Mod_Int operator/(const Mod_Int& p) const { return Mod_Int(*this) /= p; } bool operator==(const Mod_Int& p) const { return x == p.x; } bool operator!=(const Mod_Int& p) const { return x != p.x; } Mod_Int inverse() const { assert(*this != Mod_Int(0)); return pow(mod - 2); } Mod_Int pow(long long k) const { Mod_Int now = *this, ret = 1; for (; k > 0; k >>= 1, now *= now) { if (k & 1) ret *= now; } return ret; } friend ostream& operator<<(ostream& os, const Mod_Int& p) { return os << p.x; } friend istream& operator>>(istream& is, Mod_Int& p) { long long a; is >> a; p = Mod_Int(a); return is; } }; ll mpow2(ll x, ll n, ll mod) { ll ans = 1; x %= mod; while (n != 0) { if (n & 1) ans = ans * x % mod; x = x * x % mod; n = n >> 1; } ans %= mod; return ans; } template T modinv(T a, const T& m) { T b = m, u = 1, v = 0; while (b > 0) { T t = a / b; swap(a -= t * b, b); swap(u -= t * v, v); } return u >= 0 ? u % m : (m - (-u) % m) % m; } ll divide_int(ll a, ll b) { if (b < 0) a = -a, b = -b; return (a >= 0 ? a / b : (a - b + 1) / b); } // const int MOD = 1000000007; const int MOD = 998244353; using mint = Mod_Int; mint mpow(mint x, ll n) { bool rev = n < 0; n = abs(n); mint ans = 1; while (n != 0) { if (n & 1) ans *= x; x *= x; n = n >> 1; } return (rev ? ans.inverse() : ans); } // ----- library ------- template // 流量の型 struct Dinic { struct edge { int to; F cap; int rev; edge(int to, F cap, int rev) : to(to), cap(cap), rev(rev) {} }; vector> es; vector d, pos; const F zero_F, INF_F; const int n; Dinic(int n, F zero_F = 0, F INF_F = numeric_limits::max() / 2) : es(n), d(n), pos(n), zero_F(zero_F), INF_F(INF_F), n(n) {} void add_edge(int from, int to, F cap, bool directed = true) { es[from].emplace_back(to, cap, (int)es[to].size()); es[to].emplace_back(from, directed ? zero_F : cap, (int)es[from].size() - 1); } bool _bfs(int s, int t) { fill(begin(d), end(d), -1); queue que; d[s] = 0; que.push(s); while (!que.empty()) { int i = que.front(); que.pop(); for (auto &e : es[i]) { if (e.cap > zero_F && d[e.to] == -1) { d[e.to] = d[i] + 1; que.push(e.to); } } } return d[t] != -1; } F _dfs(int now, int t, F flow) { if (now == t) return flow; for (int &i = pos[now]; i < (int)es[now].size(); i++) { edge &e = es[now][i]; if (e.cap > zero_F && d[e.to] > d[now]) { F f = _dfs(e.to, t, min(flow, e.cap)); if (f > zero_F) { e.cap -= f; es[e.to][e.rev].cap += f; return f; } } } return zero_F; } F max_flow(int s, int t) { // 操作後の d 配列は最小カットの 1 つを表す(0 以上なら s 側、-1 なら t 側) F flow = zero_F; while (_bfs(s, t)) { fill(begin(pos), end(pos), 0); F f = zero_F; while ((f = _dfs(s, t, INF_F)) > zero_F) flow += f; } return flow; } }; // ----- library ------- int main() { ios::sync_with_stdio(false); std::cin.tie(nullptr); cout << fixed << setprecision(15); int n, m; cin >> n >> m; Dinic mf(n * 4 + 2); int u, v; vector d(n, 0); rep(i, m) { cin >> u >> v, u--, v--; d[u]++, d[v]++; rep(s, 2) mf.add_edge(u * 2 + s, v * 2 + n * 2 + (s ^ 1), 1); } rep(i, n * 2) mf.add_edge(n * 4, i, 1), mf.add_edge(i + n * 2, n * 4 + 1, 1); int c0 = 0; rep(i, n) if (d[i] == 0) c0++; int ans = mf.max_flow(n * 4, n * 4 + 1) * 2 - n; if (c0 == 1) chmin(ans, n - 4); cout << ans << endl; }