#ifndef LOCAL #define FAST_IO #endif // ============ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define OVERRIDE(a, b, c, d, ...) d #define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i) #define REP3(i, m, n) for (i32 i = (i32)(m); i < (i32)(n); ++i) #define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__) #define PER(i, n) for (i32 i = (i32)(n) - 1; i >= 0; --i) #define ALL(x) begin(x), end(x) using namespace std; using u32 = unsigned int; using u64 = unsigned long long; using i32 = signed int; using i64 = signed long long; using f64 = double; using f80 = long double; template using Vec = vector; template bool chmin(T &x, const T &y) { if (x > y) { x = y; return true; } return false; } template bool chmax(T &x, const T &y) { if (x < y) { x = y; return true; } return false; } template Vec> runlength(const Vec &a) { if (a.empty()) { return Vec>(); } Vec> ret; i32 prv = 0; REP(i, 1, a.size()) { if (a[i - 1] != a[i]) { ret.emplace_back(prv, i, a[i - 1]); prv = i; } } ret.emplace_back(prv, (i32)a.size(), a.back()); return ret; } #ifdef INT128 using u128 = __uint128_t; using i128 = __int128_t; istream &operator>>(istream &is, i128 &x) { i64 v; is >> v; x = v; return is; } ostream &operator<<(ostream &os, i128 x) { os << (i64)x; return os; } istream &operator>>(istream &is, u128 &x) { u64 v; is >> v; x = v; return is; } ostream &operator<<(ostream &os, u128 x) { os << (u64)x; return os; } #endif [[maybe_unused]] constexpr i32 INF = 1000000100; [[maybe_unused]] constexpr i64 INF64 = 3000000000000000100; struct SetUpIO { SetUpIO() { #ifdef FAST_IO ios::sync_with_stdio(false); cin.tie(nullptr); #endif cout << fixed << setprecision(15); } } set_up_io; // ============ #ifdef DEBUGF #else #define DBG(x) (void)0 #endif // ============ #include #include #include #include std::pair, std::vector> hopcroft_karp(int l, int r, const std::vector> &edges) { assert(0 <= l && 0 <= r); std::vector> g(l); for (auto [u, v] : edges) { assert(0 <= u && u < l && 0 <= v && v < r); g[u].push_back(v); } std::vector p(l, -1), q(r, -1); while (true) { std::vector par(l, -1), root(l, -1); std::queue que; for (int i = 0; i < l; ++i) { if (p[i] == -1) { que.push(i); root[i] = i; } } bool upd = false; while (!que.empty()) { int v = que.front(); que.pop(); if (p[root[v]] != -1) { continue; } for (int u : g[v]) { if (q[u] == -1) { while (u != -1) { q[u] = v; std::swap(p[v], u); v = par[v]; } upd = true; break; } int u_ = q[u]; if (par[u_] == -1) { root[u_] = root[v]; par[u_] = v; que.push(u_); } } } if (!upd) { break; } } return std::make_pair(p, q); } // ============ int main() { i32 n, m; cin >> n >> m; Vec u(m), v(m); REP(i, m) { cin >> u[i] >> v[i]; --u[i]; --v[i]; } Vec> edges; edges.reserve(m); REP(i, m) { edges.emplace_back(u[i], v[i]); edges.emplace_back(v[i], u[i]); } auto [lm, rm] = hopcroft_karp(n, n, edges); i32 ma = n - count(ALL(lm), -1); Vec deg(n, 0); REP(i, m) { ++deg[u[i]]; ++deg[v[i]]; } if (ma == n - 1 && count(ALL(deg), 0)) { --ma; } i32 ans = 2 * ma - n; cout << ans << '\n'; }