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#include <bits/stdc++.h> using namespace std; template <typename Arg1> void ZZ(const char* name, Arg1&& arg1) { cerr << name << " = " << arg1 << "\n"; } template <typename Arg1, typename... Args> void ZZ(const char* names, Arg1&& arg1, Args&&... args) { const char* comma = strchr(names + 1, ','); cerr.write(names, comma - names) << " = " << arg1; ZZ(comma, args...); } clock_t tim = clock(); const long long N = 1e5 + 5; vector<long long> adj[N], vis(N, 0); bool is_cyclic = 0; long long dfs(long long x, long long p) { vis[x] = 1; long long ret = 1; for (auto i : adj[x]) { if (i == p) continue; if (vis[i]) { is_cyclic = 1; continue; } ret += dfs(i, x); } return ret; } signed main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); long long n, m; cin >> n >> m; for (long long i = (0); i < (m); i++) { long long x, y; cin >> x >> y; adj[x].push_back(y); adj[y].push_back(x); } long long ans = n; for (long long i = (1); i < (n + 1); i++) { if (vis[i]) continue; is_cyclic = 0; long long aux = dfs(i, 0); aux -= !is_cyclic; ans -= aux; } cout << ans; cerr << "\nTime Taken : " << (long double)(clock() - tim) / CLOCKS_PER_SEC; }
#include <bits/stdc++.h> using namespace std; vector<long long> adj[100010]; long long edges = 0, nodes = 0; void dfs(long long u, vector<bool> &vis) { vis[u] = true; for (int i = 0; i < adj[u].size(); i++) { long long v = adj[u][i]; edges++; if (!vis[v]) { nodes++; dfs(v, vis); } } } int main() { ios::sync_with_stdio(false); long long n, m; cin >> n >> m; for (long long i = 0; i < m; i++) { long long u, v; cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } vector<bool> vis(n + 1, false); vector<long long> par(n + 1, -1); long long count = 0; for (long long i = 1; i <= n; i++) { if (!vis[i]) { nodes = 1; edges = 0; dfs(i, vis); edges /= 2; if (edges + 1 == nodes) count++; } } cout << count << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1000000000000000; long long gcd(long long a, long long b) { if (a == 0) { return b; } return gcd(b % a, a); } long long lim = 150005; vector<long long> adj[150005]; vector<long long> vis(lim, 0); long long f = 0; void dfs(long long x, long long parent) { if (vis[x] == 1) return; vis[x] = 1; for (auto &it : adj[x]) { if (vis[it] != 1) { dfs(it, x); } else if (it != parent) { f = 1; } } } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); long long n, m; cin >> n >> m; for (long long i = 0; i < m; i++) { long long u, v; cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } long long ans = 0; for (long long i = 1; i <= n; i++) { if (!vis[i]) { f = 0; dfs(i, -1); if (f == 0) { ans++; } } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; vector<vector<int> > vv; vector<int> used; bool t = 1; int ans(0); void dfs(int v, int p) { used[v] = 1; for (int i = 0; i < vv[v].size() && t; i++) if (vv[v][i] != p && used[vv[v][i]] != 1) dfs(vv[v][i], v); else if (used[vv[v][i]] && vv[v][i] != p) ans--, t = 0; } int main() { int n, m; cin >> n >> m; vv.resize(n + 1); used.resize(n + 1); for (int i = 0; i < m; i++) { int a, b; cin >> a >> b; vv[a].push_back(b); vv[b].push_back(a); } for (int i = 1; i <= n; i++) if (!used[i]) { t = 1; dfs(i, i); ans++; } cout << ans; }
#include <bits/stdc++.h> using namespace std; const int N = 100005; int us[N]; vector<int> g[N]; bool Cycle(int u, int p = 0) { bool res = false; us[u] = 1; for (int v : g[u]) { if (v == p) { continue; } if (us[v] == 0) { res |= Cycle(v, u); } else if (us[v] == 1) { return true; } } us[u] = 2; return res; } int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { int u, v; scanf("%d%d", &u, &v); g[u].push_back(v); g[v].push_back(u); } int res = 0; for (int u = 1; u <= n; u++) { if (!us[u]) { res += !Cycle(u); } } printf("%d\n", res); }
#include <bits/stdc++.h> using namespace std; struct road { int c1, c2; }; struct city { int order, num; vector<int> link; int cet; city(int num = 0, int cet = 1) : num(num), cet(cet){}; }; int main() { int n, m; while (cin >> n >> m) { vector<city> c; road r[m]; for (int i = 0; i < n; i++) { city ccc; ccc.order = i; c.push_back(ccc); } for (int i = 0; i < m; i++) { cin >> r[i].c1 >> r[i].c2; c[r[i].c1 - 1].num++; c[r[i].c2 - 1].num++; c[r[i].c1 - 1].link.push_back(r[i].c2 - 1); c[r[i].c2 - 1].link.push_back(r[i].c1 - 1); } int sum = 0; while (1) { bool cet2 = true; for (int i = 0; i < c.size(); i++) { if (c[i].cet && c[i].num == 1) { for (int j = 0; j < c[i].link.size(); j++) { if (c[c[i].link[j]].cet) c[c[i].link[j]].num--; } c[i].cet = 0; cet2 = false; } else if (c[i].cet && c[i].num == 0) { c[i].cet = 0; cet2 = false; sum++; } } if (cet2) break; } cout << sum << endl; } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, f[100009], sum, k, h[100009]; int getf(int i) { if (f[i] == i) return i; return f[i] = getf(f[i]); } int main() { for (int i = 0; i < 100009; i++) f[i] = i; scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int u, v; scanf("%d%d", &u, &v); u = getf(u), v = getf(v); if (u != v) { f[u] = v; if (h[u] || h[v]) h[u] = h[v] = 1; } else { h[u] = h[v] = 1; } } for (int i = 1; i <= n; i++) if (f[i] == i && !h[i]) sum++; printf("%d", sum); return 0; }
#include <bits/stdc++.h> using namespace std; vector<vector<int> > g; bitset<int(1e5)> visited; int parent[int(1e5)]; long long min(long long a, long long b) { return a < b ? a : b; } void dfs(int u) { visited[u] = true; for (int v : g[u]) if (!visited[v]) dfs(v); } int find(int u) { if (parent[u] == u) return u; return parent[u] = find(parent[u]); } void solve(int n, int m) { for (int i = 0; i < n; i++) parent[i] = i; int cnt = n; int u, v; for (int i = 0; i < m; i++) { cin >> u >> v; u--, v--; u = find(u), v = find(v); if (u == v) visited[u] = true; else { parent[u] = v; cnt--; visited[v] = visited[u] || visited[v]; } } for (int i = 0; i < n; i++) if (parent[i] == i && visited[i]) cnt--; cout << cnt << "\n"; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; solve(n, m); }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100000 + 5; vector<int> G[MAXN]; int vis[MAXN]; int bfs(int s) { int node = 1, edge = 0; queue<int> q; q.push(s); vis[s] = 1; while (!q.empty()) { int u = q.front(); q.pop(); for (int i = 0; i < (int)G[u].size(); i++) { edge++; int v = G[u][i]; if (!vis[v]) { q.push(v); vis[v] = 1; node++; } } } edge /= 2; if (edge > node - 1) { return 0; } return 1; } int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { int u, v; scanf("%d%d", &u, &v); G[u].push_back(v); G[v].push_back(u); } int ans = 0; for (int i = 1; i <= n; i++) { if (!vis[i]) { ans += bfs(i); } } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1e9 + 7; const long long MINT = ~0u >> 1; const int maxn = 123456; set<int> Set[maxn]; bool isOk[maxn]; int n, m; void solve() { queue<int> q; for (int i = 1; i <= n; i++) { if (1 == Set[i].size()) { q.push(i); } } while (!q.empty()) { int cur = q.front(); if (1 == Set[cur].size()) { isOk[cur] = true; int temp = *(Set[cur].begin()); Set[cur].erase(temp); Set[temp].erase(cur); if (1 == Set[temp].size()) q.push(temp); q.pop(); } else q.pop(); } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int x, y; scanf("%d%d", &x, &y); Set[x].insert(y); Set[y].insert(x); } solve(); int ans(0); for (int i = 1; i <= n; i++) { if (!Set[i].size() && !isOk[i]) { ans++; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; inline int read() { int x = 0, f = 1; char ch = getchar(); for (; ch < '0' || ch > '9'; ch = getchar()) if (ch == '-') f = -1; for (; ch >= '0' && ch <= '9'; ch = getchar()) x = x * 10 + ch - '0'; return x * f; } inline long long lread() { long long x = 0, f = 1; char ch = getchar(); for (; ch < '0' || ch > '9'; ch = getchar()) if (ch == '-') f = -1; for (; ch >= '0' && ch <= '9'; ch = getchar()) x = x * 10 + ch - '0'; return x * f; } const int maxn = 100005; int n, m, ans; struct edge { int to, next; } e[maxn << 1]; int head[maxn], top = 1; void addedge(int u, int v) { e[++top] = (edge){v, head[u]}; head[u] = top; e[++top] = (edge){u, head[v]}; head[v] = top; } bool vis[maxn]; bool dfs(int x, int f) { vis[x] = true; bool flag = true; for (int i = head[x]; i; i = e[i].next) if (e[i].to != f) { if (vis[e[i].to]) flag = false; if (!vis[e[i].to]) if (!dfs(e[i].to, x)) flag = false; } return flag; } int main() { n = read(), m = read(); for (int i = 1; i <= m; i++) { int u = read(), v = read(); addedge(u, v); } for (int i = 1; i <= n; i++) if (!vis[i]) ans += dfs(i, i); printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; const long long int dx[8] = {-1, -1, -1, 0, 1, 1, 1, 0}; const long long int dy[8] = {-1, 0, 1, 1, 1, 0, -1, -1}; void err(istream_iterator<string> it) {} template <typename T, typename... Args> void err(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << endl; err(++it, args...); } long long int power(long long int a, long long int b, long long int m = 1000000007) { long long int ans = 1; a = a % m; while (b > 0) { if (b & 1) ans = (1LL * a * ans) % m; b >>= 1; a = (1LL * a * a) % m; } return ans; } long long int ncr(long long int n, long long int r) { long long int res = 1; if (r > n - r) r = n - r; for (long long int i = 0; i < r; i++) { res *= n - i; res /= i + 1; } return res; } long long int gcd(long long int a, long long int b) { if (b == 0) return a; return gcd(b, a % b); } long long int lcm(long long int a, long long int b) { return (a * b) / gcd(a, b); } clock_t time_p = clock(); void rtime() { time_p = clock() - time_p; cerr << "******************\nTime taken : " << (long double)(time_p) / CLOCKS_PER_SEC << "\n"; } vector<long long int> g[100001]; vector<bool> vis(100001); long long int v, e; void dfs(long long int i) { v++; vis[i] = true; for (auto x : g[i]) { e++; if (!vis[x]) dfs(x); } } signed main() { ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long int tt = 1; long long int ii = 0; while (tt-- && ++ii) { long long int n, m; cin >> n >> m; for (long long int i = 0; i < m; i++) { long long int x, y; cin >> x >> y; g[x].emplace_back(y); g[y].emplace_back(x); } long long int ans = 0; for (long long int i = 1; i <= n; i++) if (!vis[i]) { v = 0, e = 0; dfs(i); e >>= 1; if (e == v - 1) ans++; } cout << ans << "\n"; } rtime(); return 0; }
#include <bits/stdc++.h> using namespace std; vector<vector<int> > v(100005 + 1); vector<int> vis(100005 + 1, 0); vector<int> group; void dfs(int i) { for (int j = 0; j < v[i].size(); j++) { if (vis[v[i][j]] == 0) { group.push_back(v[i][j]); vis[v[i][j]] = 1; dfs(v[i][j]); } } } int main() { int n, m, x, y; scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { scanf("%d%d", &x, &y); v[x].push_back(y); v[y].push_back(x); } int count = 0; for (int i = 1; i <= n; i++) { if (vis[i] == 0) { count++; group.clear(); group.push_back(i); vis[i] = 1; dfs(i); int counter = 0; for (int o = 0; o < group.size(); o++) { counter += v[group[o]].size(); } counter /= 2; if (counter >= group.size()) { count--; } } } cout << count << endl; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> adj[100010]; int comp[100010]; int vert[100010]; int ar[100010]; int bfs(int n) { queue<int> Q; int c = 1; int ans = 0; for (int v = (1); v < (n + 1); v++) { if (comp[v]) continue; c++; Q.push(v); comp[v] = c; int cur, next; while (!Q.empty()) { cur = Q.front(); Q.pop(); vert[c]++; ar[c] += adj[cur].size(); for (int i = 0; i < (adj[cur].size()); i++) { int w = adj[cur][i]; if (comp[w] == 0) { comp[w] = c; Q.push(w); } } } int nn = vert[c]; int mm = ar[c] / 2; if (mm == (nn - 1)) ans++; } return (ans); } int main() { int n, m; cin >> n >> m; int u, v; for (int i = 0; i < (m); i++) { cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } cout << bfs(n) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, v[100001]; vector<int> adj[100001]; bool dfs(int cur, int bef) { v[cur] = 1; bool ret = false; for (int i = 0; i < adj[cur].size(); ++i) { int next = adj[cur][i]; if (next == bef) continue; if (v[next] == 1) ret = true; else ret = ret || dfs(next, cur); } return ret; } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < m; ++i) { int a, b; scanf("%d%d", &a, &b); --a, --b; adj[a].push_back(b); adj[b].push_back(a); } int ans = 0; for (int cur = 0; cur < n; ++cur) { if (v[cur] == 0) { if (!dfs(cur, cur)) ++ans; } } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int Maxn = 100 * 1000 + 10; int n, m, ans, par[Maxn]; vector<int> adj[Maxn]; bool mark[Maxn], flag; void dfs(int v) { mark[v] = true; for (int i = 0; i < (int)adj[v].size(); i++) { if (!mark[adj[v][i]]) { par[adj[v][i]] = v; dfs(adj[v][i]); } else { if (adj[v][i] != par[v]) flag = true; } } return; } int main() { scanf("%d%d", &n, &m); int u, v; for (int i = 0; i < m; i++) { scanf("%d%d", &u, &v); u--; v--; adj[u].push_back(v); adj[v].push_back(u); } for (int i = 0; i < n; i++) { flag = false; if (!mark[i]) { dfs(i); if (!flag) ans++; } } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const long long MOD = 1e9 + 7; const int N = 1e5 + 5; int ans, c; vector<int> v[N]; bool vis[N]; void dfs(int s, int p) { vis[s] = true; for (auto e : v[s]) { if (!vis[e]) dfs(e, s); else if (e != p) c = 0; } } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n, m, x, y; cin >> n >> m; for (int i = 1; i <= m; i++) { cin >> x >> y; v[x].push_back(y); v[y].push_back(x); } for (int i = 1; i <= n; i++) { if (!vis[i]) { c = 1; dfs(i, -1); ans += c; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, f[100009], sum, k, h[100009]; inline int getf(int i) { if (f[i] == i) return i; return f[i] = getf(f[i]); } int main() { scanf("%d%d", &n, &m); for (int i = 0; i <= n; i++) f[i] = i; for (int i = 1; i <= m; i++) { int u, v; scanf("%d%d", &u, &v); u = getf(u), v = getf(v); if (u != v) { f[u] = v; if (h[u] || h[v]) h[u] = h[v] = 1; } else { h[u] = h[v] = 1; } } for (int i = 1; i <= n; i++) if (f[i] == i && !h[i]) sum++; printf("%d", sum); return 0; }
#include <bits/stdc++.h> int fa[100005], cnt[100005], sz[100005]; int get(int v) { if (fa[v] != v) fa[v] = get(fa[v]); return fa[v]; } int main() { int n, m, i, a, b; scanf("%d %d", &n, &m); for (int i = 1; i <= n; i++) fa[i] = i, cnt[i] = 0, sz[i] = 1; while (m--) { scanf("%d %d", &a, &b); int x = get(a); int y = get(b); if (x == y) cnt[x]++; else { cnt[x] += cnt[y] + 1; sz[x] += sz[y]; fa[y] = x; } } int ans = 0; for (int i = 1; i <= n; i++) if (get(i) == i) ans += sz[i] > cnt[i]; printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; int c, x, y, f, X, Y, n, m, k, l, p; bool a2[100002], vi[100030], a3[100009]; int pa[100004], p2[100003]; vector<int> V[100009]; stack<int> S; void dfs2(int n) { S.push(n); vi[n] = 1; for (int i = 0; i < V[n].size(); i++) { int u = V[n][i]; if (u != p2[n]) { pa[u]++; if (!vi[u]) { p2[u] = n; dfs2(u); } } } } void dfs(int n) { a2[n] = 1; for (int i = 0; i < V[n].size(); i++) { int u = V[n][i]; if (u != pa[n]) a3[u] = 1; if (!a2[u]) { pa[u] = n; dfs(u); } } } int main() { while (scanf("%d%d", &n, &m) == 2) { memset(vi, 0, sizeof(vi)); memset(a2, 0, sizeof(a2)); memset(pa, 0, sizeof(pa)); memset(p2, 0, sizeof(p2)); memset(a3, 0, sizeof(a3)); for (int i = 0; i <= n; i++) { V[i].clear(); } for (int i = 0; i < m; i++) { scanf("%d%d", &x, &y); V[x].push_back(y); V[y].push_back(x); } for (int i = 1; i <= n; i++) { if (!vi[i]) { dfs2(i); l = 0; while (!S.empty()) { int y = S.top(); S.pop(); if (l < pa[y]) { l = pa[y]; k = y; } } memset(pa, 0, sizeof(pa)); dfs(k); } } int f = 0; for (int i = 1; i <= n; i++) { if (!a3[i]) f++; } printf("%d\n", f); } }
#include <bits/stdc++.h> using namespace std; bool seen[100005]; int parent[100005]; int go(int u, vector<vector<int> > &G) { seen[u] = 1; queue<int> q; q.push(u); parent[u] = -1; while (!q.empty()) { u = q.front(); q.pop(); for (int i = 0; i < G[u].size(); ++i) { int v = G[u][i]; if (!seen[v]) { seen[v] = 1; parent[v] = u; q.push(v); } else if (v != parent[u]) return 0; } } return 1; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); int n, m, x, y; cin >> n >> m; vector<vector<int> > G(n + 1); for (int i = 0; i < m; ++i) { cin >> x >> y; G[x].push_back(y); G[y].push_back(x); } int ans = 0; for (int i = 1; i <= n; ++i) if (!seen[i]) ans += go(i, G); cout << ans << '\n'; }
#include <bits/stdc++.h> using namespace std; vector<vector<int> > g; bitset<int(1e5)> visited; int parent[int(1e5)]; long long min(long long a, long long b) { return a < b ? a : b; } void dfs(int u) { visited[u] = true; for (int v : g[u]) if (!visited[v]) dfs(v); } int find(int u) { if (parent[u] == u) return u; return parent[u] = find(parent[u]); } void solve(int n, int m) { for (int i = 0; i < n; i++) parent[i] = i; int cnt = n; int u, v; for (int i = 0; i < m; i++) { cin >> u >> v; u--, v--; u = find(u), v = find(v); if (u == v) visited[u] = true; else { parent[u] = v; cnt--; visited[v] = visited[u] || visited[v]; } } for (int i = 0; i < n; i++) if (parent[i] == i && visited[i]) cnt--; cout << cnt << "\n"; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; solve(n, m); }
#include <bits/stdc++.h> using namespace std; int dfs(int u, vector<int> adj[], vector<bool> &vist, int p) { int i; vist[u] = true; for (i = 0; i < adj[u].size(); i++) { if (vist[adj[u][i]] == true && adj[u][i] != p) return 1; if (vist[adj[u][i]] == false && adj[u][i] != p) { if (dfs(adj[u][i], adj, vist, u) == 1) return 1; } } return 0; } int main() { int n, m, c = 0, u, v, i; cin >> n >> m; vector<int> adj[100009]; for (i = 0; i < m; i++) { cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } vector<bool> vist(100009, false); for (i = 1; i <= n; i++) { if (vist[i] == false) { if (dfs(i, adj, vist, 0) == 0) c++; } } cout << c << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int j, z; void bfs(int s, vector<vector<pair<int, int>>>& g, vector<int>& edges, vector<int>& mark) { mark[s] = 1; queue<int> q; q.push(s); j = 1; while (!q.empty()) { int v = q.front(); q.pop(); for (auto to : g[v]) { int u = to.first; int d = to.second; if (!mark[u]) { mark[u] = 1; edges[d] = 1; j++; z++; q.push(u); } else if (!edges[d]) { z++; edges[d] = 1; } } } } int main() { int n, m; cin >> n >> m; vector<vector<pair<int, int>>> g(n); vector<int> edges(m), mark(n); mark.assign(n, 0); edges.assign(m, 0); int v, u; for (int i = 0; i < m; i++) { cin >> v >> u; v--; u--; g[v].push_back(make_pair(u, i)); g[u].push_back(make_pair(v, i)); } int ans = 0; for (int i = 0; i < n; i++) { j = 0, z = 0; if (!mark[i]) { bfs(i, g, edges, mark); if (z == j - 1) ans++; } } cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> graph[1000009]; bool vis[1000009]; bool hasCycle = false; void dfs(int at, int pre) { vis[at] = true; for (int i = 0; i < graph[at].size(); i++) { if (!vis[graph[at][i]]) { dfs(graph[at][i], at); } else if (graph[at][i] != pre) { hasCycle = true; } } } int main() { int n, m; cin >> n >> m; int a, b; for (int T = 0; T < m; T++) { cin >> a >> b; graph[a].push_back(b); graph[b].push_back(a); } int totalSep = 0; for (int i = 1; i <= n; i++) { if (!vis[i]) { hasCycle = false; dfs(i, i); if (!hasCycle) { totalSep++; } } } cout << totalSep << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int dcmp(long double n, long double y) { return fabs(n - y) <= 1e-9 ? 0 : n < y ? -1 : 1; } const int MAX = 1e5 + 10; int n, m, ans; vector<vector<int> > adj; bool vis[MAX]; int edges; int dfs(int node) { vis[node] = 1; int ret = 1; edges += adj[node].size(); for (int i = 0; i < ((int)((adj[node]).size())); ++i) { int child = adj[node][i]; if (!vis[child]) ret += dfs(child); } return ret; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ; cin >> n >> m; adj = vector<vector<int> >(n); for (int i = 0; i < (int)(m); ++i) { int u, v; cin >> u >> v; u--; v--; adj[u].push_back(v); adj[v].push_back(u); } for (int i = 0; i < (int)(n); ++i) { if (!vis[i]) { edges = 0; int o = dfs(i); int y = edges / 2; if (o - 1 == y) ans++; } } cout << ans << '\n'; }
#include <bits/stdc++.h> using namespace std; int const MN = 1e5 + 100; bool vis[MN], t; vector<int> adj[MN]; int n, m, ans; void dfs(int v, int p = -1) { vis[v] = 1; for (auto u : adj[v]) { if (u == p) continue; if (vis[u]) t = 1; else dfs(u, v); } } int main() { ios::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n >> m; for (int i = 0, u, v; i < m; i++) { cin >> u >> v; u--, v--; adj[u].push_back(v); adj[v].push_back(u); } for (int i = 0; i < n; i++) { if (vis[i]) continue; t = 0; dfs(i); if (!t) ans++; } cout << ans; }
#include <bits/stdc++.h> using namespace std; int rot[100010], vst[100010], h[100010], l[100010], cnt[100010]; int find_root(int u) { if (u == rot[u]) return u; return rot[u] = find_root(rot[u]); } int main() { int n, m, u, v, uu, vv, i, j; scanf("%d%d", &n, &m); for (i = 1; i <= n; i++) { rot[i] = i; h[i] = 0; l[i] = 0; cnt[i] = 1; } for (i = 0; i < m; i++) { scanf("%d%d", &u, &v); uu = find_root(u); vv = find_root(v); if (uu == vv) { l[uu]++; continue; } if (h[uu] > h[vv]) swap(uu, vv); rot[uu] = vv; h[vv] = max(h[vv], h[uu] + 1); l[vv] += l[uu] + 1; cnt[vv] += cnt[uu]; } memset(vst, 0, sizeof(vst)); for (i = 1; i <= n; i++) { vst[find_root(i)] = 1; } int jin = 0; for (i = 1; i <= n; i++) { if (vst[i] == 0) continue; if (l[i] == cnt[i] - 1) jin++; } printf("%d\n", jin); }
#include <bits/stdc++.h> using namespace std; vector<int> graph[(int)1e5]; bool flag, vis[(int)1e5]; int ans; void dfs(int u, int v) { vis[v] = true; for (int i = 0; i < graph[v].size(); i++) if (!vis[graph[v][i]]) dfs(v, graph[v][i]); else if (u != graph[v][i]) flag = true; } int main() { int n, m; cin >> n >> m; for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; u--, v--; graph[u].push_back(v); graph[v].push_back(u); } for (int i = 0; i < n; i++) { flag = false; if (!vis[i]) { dfs(i, i); if (!flag) ans++; } } cout << ans; }
#include <bits/stdc++.h> using namespace std; int root[100010], deg[100010], cnt[100010]; int find_root(int u) { if (u == root[u]) return u; return root[u] = find_root(root[u]); } int main() { int N, M, u, v, ans; scanf("%d%d", &N, &M); memset(deg, 0, sizeof(deg)); memset(cnt, 0, sizeof(cnt)); for (int i = (0); i < (N); i++) root[i] = i; for (int i = (0); i < (M); i++) { scanf("%d%d", &u, &v); u--; v--; deg[u]++; deg[v]++; int uu = find_root(u); int vv = find_root(v); if (uu == vv) continue; root[uu] = vv; } for (int i = (0); i < (N); i++) { u = find_root(i); cnt[u]++; if (u == i) continue; deg[u] += deg[i]; } ans = 0; for (int i = (0); i < (N); i++) { u = find_root(i); if (u != i) continue; if (deg[u] == 2 * (cnt[u] - 1)) ans++; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> graph[100001]; bool used[100001]; int ver = 0, edge = 0; void read_graph(int m) { int v1, v2; for (int i = 0; i < m; i++) { cin >> v1 >> v2; graph[v1].push_back(v2); graph[v2].push_back(v1); } } void dfs(int v) { used[v] = true; ver++; for (auto to : graph[v]) { edge++; if (!used[to]) dfs(to); } } int main() { ios::sync_with_stdio(false); int n, m, i, j, ans = 0, temp; cin >> n >> m; read_graph(m); for (i = 1; i <= n; i++) { ver = 0; edge = 0; if (!used[i]) dfs(i); if (edge / 2 == ver - 1) ans++; } cout << ans; }
#include <bits/stdc++.h> using namespace std; const int MAX_N = 100 * 1000; const int MAX_M = 100 * 1000; vector<int> g[MAX_N]; vector<bool> mark(MAX_N, false); vector<int> pr(MAX_N, -1); int n, m; int ans = 0; void dfs(int st) { stack<int> s; s.push(st); mark[st] = true; int t = 0; while (s.empty() == false) { int u = s.top(); s.pop(); for (int i = 0; i < g[u].size(); i++) { if (g[u][i] != pr[u]) { if (mark[g[u][i]] == false) { mark[g[u][i]] = true; s.push(g[u][i]); pr[g[u][i]] = u; } else { t = 1; } } } } ans -= t; } int main() { cin >> n >> m; int inp1, inp2; for (int i = 0; i < m; i++) { scanf("%d%d", &inp1, &inp2); inp1--; inp2--; g[inp1].push_back(inp2); g[inp2].push_back(inp1); } for (int i = 0; i < n; i++) { if (mark[i] == false) { dfs(i); ans++; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; set<int> e[100010]; inline int ri() { register char c; while (1) { c = getchar(); if (c >= '0' && c <= '9') break; } register int x = 0; while (1) { x = x * 10 + c - 48; c = getchar(); if (c < '0' || c > '9') return x; } } int main() { n = ri(), m = ri(); for (int i = 0; i < m; i++) { int a = ri() - 1, b = ri() - 1; e[a].insert(b); e[b].insert(a); } queue<int> q; int t = 0; for (int i = 0; i < n; i++) if (e[i].size() == 1) q.push(i); while (q.size() > 0) { int s = q.size(); for (int i = 0; i < s; i++) { int j = q.front(); q.pop(); if (e[j].size() == 0) continue; t++; int k = *e[j].begin(); e[k].erase(j); e[j].clear(); if (e[k].size() == 1) q.push(k); } } for (int i = 0; i < n; i++) if (e[i].size() > 1) t++; cout << n - t << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; bool se[1000001] = {0}; void seive(long long int n) { for (long long int i = 2; i <= n; i++) { if (se[i]) { continue; } for (long long int u = 2 * i; u <= n; u += i) { se[u] = true; } } } int vis[100001]; int n, m, d, r; vector<int> g[100001]; void dfs(int i) { vis[i] = 1; r++; d += g[i].size(); for (auto j : g[i]) { if (!vis[j]) { dfs(j); } } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long int t; t = 1; while (t--) { cin >> n >> m; while (m--) { int x, y; cin >> x >> y; g[x].push_back(y); g[y].push_back(x); } int ans = 0; for (int i = 1; i <= n; i++) { if (!vis[i]) { d = 0, r = 0; dfs(i); if (d / 2 < r) { ans++; } } } cout << ans; } return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> gr[100005]; bool visited[100005]; bool flag; void dfs(int x, int par) { visited[x] = 1; int i, j; for (i = 0; i < gr[x].size(); i++) { j = gr[x][i]; if (j != par) { if (visited[j] == 1) flag = 1; else dfs(j, x); } } } int main() { int n, m, i, j, k, l, p, ans = 0; scanf("%d%d", &n, &m); for (i = 0; i < m; i++) { scanf("%d%d", &k, &l); gr[k].push_back(l); gr[l].push_back(k); } for (i = 1; i <= n; i++) { if (visited[i] == 0) { flag = 0; dfs(i, -1); if (flag == 0) ans++; } } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; int dfs_(int n, vector<vector<int>> &adj_list) { set<int> unvisited; for (int i = 1; i <= n; i++) unvisited.insert(i); int count = 0; while (!unvisited.empty()) { auto iter_set = unvisited.begin(); int start_node = *iter_set; bool cycle = 0; stack<int> st; st.push(start_node); unvisited.erase(start_node); int prev_node = start_node; while (!st.empty()) { int cur_node = st.top(); st.pop(); for (auto &iter : adj_list[cur_node]) { if (unvisited.find(iter) != unvisited.end()) { st.push(iter); prev_node = iter; unvisited.erase(iter); } else if (iter != prev_node && iter != start_node) { cycle = true; } } prev_node = cur_node; } if (!cycle) count++; } return count; } bool visited[100001]; int levels[100001]; int temp_count = 0; int res_count = 0; void dfs(int src, vector<vector<int>> &adj_list) { visited[src] = true; for (auto &iter : adj_list[src]) { if (!visited[iter]) { levels[iter] = levels[src] + 1; dfs(iter, adj_list); } else if (levels[iter] > levels[src] + 1) { temp_count++; } } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int n, m; int x, y; cin >> n >> m; for (int i = 1; i <= n; i++) visited[i] = false; for (int i = 1; i <= n; i++) levels[i] = 0; vector<vector<int>> adj_list(n + 1); for (int i = 0; i < m; ++i) { cin >> x >> y; adj_list[x].push_back(y); adj_list[y].push_back(x); } for (int i = 1; i <= n; i++) { if (!visited[i]) { temp_count = 0; dfs(i, adj_list); if (temp_count == 0) res_count++; } } cout << res_count << endl; }
#include <bits/stdc++.h> using namespace std; vector<vector<int> > v(100005); int visited[100005]; map<pair<long long, long long>, int> mapping; int nodes, edges; void dfs(int start) { nodes++; visited[start] = 1; int i; for (i = 0; i < v[start].size(); i++) { if (!visited[v[start][i]]) { edges++; mapping[pair<long long, long long>(start, v[start][i])] = 1; dfs(v[start][i]); } else if (mapping[pair<long long, long long>(start, v[start][i])] == 0 && mapping[pair<long long, long long>(v[start][i], start)] == 0) { mapping[pair<long long, long long>(start, v[start][i])] = 1; edges++; } } } int main() { int i, j, n, m, ans, a, b; scanf("%d %d", &n, &m); for (i = 0; i < m; i++) { scanf("%d %d", &a, &b); v[a].push_back(b); v[b].push_back(a); } ans = 0; for (i = 1; i <= n; i++) { if (visited[i]) continue; nodes = 0; edges = 0; dfs(i); if (nodes - 1 == edges) ans++; } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; constexpr int N = 100001; int n, m; vector<int> g[N]; bool u[N]; bool dfs(int v, int p = -1) { bool c = false; u[v] = true; for (int t : g[v]) { if (t != p) { if (u[t]) c = true; else c |= dfs(t, v); } } return c; } int main() { ios::sync_with_stdio(false); cin >> n >> m; int ans = 0; for (int i = 0; i < m; ++i) { int a, b; cin >> a >> b; --a; --b; g[a].push_back(b); g[b].push_back(a); } for (int i = 0; i < n; ++i) { if (!u[i]) ans += 1 - dfs(i); } cout << ans; }
#include <bits/stdc++.h> using namespace std; vector<int> adj[100001]; bool visited[100001]; void add_edge(int a, int b) { adj[a].push_back(b); adj[b].push_back(a); } bool DFS(int cur, int last) { visited[cur] = true; for (int i = 0; i < adj[cur].size(); i++) { if (visited[adj[cur][i]] == false) { bool getdfs = DFS(adj[cur][i], cur); if (getdfs == true) { return true; } } else if (adj[cur][i] != last) { return true; } } return false; } int n, m, ans; int main() { cin >> n >> m; for (int i = 0; i < m; i++) { int ta, tb; cin >> ta >> tb; add_edge(ta, tb); } for (int i = 1; i <= n; i++) { if (visited[i] == false) { bool cset = DFS(i, -1); if (cset != true) { ans++; } } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; int t, ch[100005]; vector<int> g[100005]; void dfs(int u, int fa) { ch[u] = 1; for (auto i : g[u]) { if (ch[i] == 0) { dfs(i, u); } else if (ch[i] == 1 && i != fa) { t = 1; } } } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> m; memset(ch, 0, sizeof(ch)); for (int i = 1; i <= m; i++) { int x, y; cin >> x >> y; g[x].push_back(y); g[y].push_back(x); } int ans = 0; for (int i = 1; i <= n; i++) { if (ch[i] == 0) { t = 0; dfs(i, i); if (t == 0) ans++; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 5; int n, m; vector<int> mp[maxn]; int dis[maxn]; int flag; void dfs(int u, int from) { dis[u] = 1; for (int i = 0; i < mp[u].size(); i++) { int v = mp[u][i]; if (v == from) continue; if (dis[v] == 1) { flag = 1; continue; } dfs(v, u); } } void init() { for (int i = 1; i <= n; i++) { mp[i].clear(); } } int main() { int x, y; while (~scanf("%d %d", &n, &m)) { memset(dis, 0, sizeof(dis)); init(); for (int i = 0; i < m; i++) { int x, y; scanf("%d%d", &x, &y); mp[x].push_back(y); mp[y].push_back(x); } int ti = 0; for (int i = 1; i <= n; i++) { if (dis[i] == 0) { flag = 0; dfs(i, -1); if (flag == 0) ti++; } } printf("%d\n", ti); } }
#include <bits/stdc++.h> using namespace std; int dx[] = {1, -1, 0, 0}; int dy[] = {0, 0, -1, 1}; void arquivo() { freopen("", "r", stdin); freopen("", "w", stdout); } const int N = 200010; int n, m; int deg[N]; vector<long long> g[N]; int vis[N]; int leave; int hasCycle; void dfs(int x, int ult) { vis[x] = 1; leave += (g[x].size() == 1); for (int i = 0; i < g[x].size(); ++i) { int y = g[x][i]; if (ult == y) continue; if (vis[y]) hasCycle = 1; else dfs(y, x); } } int main() { scanf("%d %d", &n, &m); for (int i = 0; i < m; ++i) { int a, b; scanf("%d %d", &a, &b); a--; b--; deg[a]++; deg[b]++; g[a].push_back(b); g[b].push_back(a); } int ans = 0; for (int i = 0; i < n; ++i) { if (!vis[i]) { leave = hasCycle = 0; dfs(i, -1); if (!hasCycle) ans++; } } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; bool vis[N]; vector<int> v[N]; int f; void dfs(int i, int parent) { vis[i] = 1; for (int it : v[i]) { if (!vis[it]) { dfs(it, i); } else { if (it != parent) f = 1; } } } int main() { ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); int n, m; cin >> n >> m; for (int i = 1; i <= m; ++i) { int a, b; cin >> a >> b; v[a].push_back(b); v[b].push_back(a); } int ans = 0; for (int i = 1; i <= n; ++i) { if (!vis[i]) { f = 0; dfs(i, 0); ans += !f; } } cout << ans << "\n"; }
#include <bits/stdc++.h> using namespace std; vector<int> w[100001]; vector<bool> visit(100001); int n, m, ans; bool flag = false; void dfs(int i, int parent) { visit[i] = true; for (int j = 0; j < w[i].size(); j++) { if (!visit[w[i][j]]) { dfs(w[i][j], i); } else if (w[i][j] != parent) { flag = true; } } } int main() { cin >> n >> m; for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; w[u].push_back(v); w[v].push_back(u); } for (int i = 1; i <= n; i++) { if (!visit[i]) { int parent = -1; dfs(i, parent); if (!flag) { ans++; } flag = false; } } cout << ans; }
#include <bits/stdc++.h> using namespace std; vector<int> adj[100005]; bool visit[100005]; int countn, counte; void dfsvisit(int vert) { visit[vert] = true; countn++; counte += adj[vert].size(); for (int i = 0; i < adj[vert].size(); i++) { if (!visit[adj[vert][i]]) { dfsvisit(adj[vert][i]); } } } int main() { memset(visit, false, sizeof(visit)); int n, m, l, r; scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { scanf("%d%d", &l, &r); adj[l].push_back(r); adj[r].push_back(l); } int ans = 0; for (int i = 1; i <= n; i++) { countn = 0; counte = 0; if (!visit[i]) { dfsvisit(i); counte /= 2; } ans += max(0, (countn - counte)); } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; long long par[100010], ran[100010]; bitset<100010> cyc; long long ufind(long long a) { if (par[a] != a) par[a] = ufind(par[a]); return par[a]; } long long uni(long long a, long long b) { if (ran[a] > ran[b]) par[b] = a; else par[a] = b; if (ran[a] == ran[b]) ran[b]++; if (cyc[a] || cyc[b]) { cyc[a] = true; cyc[b] = true; } } int main() { long long t, n, m, x, y, i; cin >> n >> m; for (i = 1; i <= n; i++) par[i] = i; while (m--) { cin >> x >> y; long long px = ufind(x); long long py = ufind(y); if (px != py) uni(px, py); else cyc[px] = true; } long long cnt = 0; for (i = 1; i <= n; i++) if (par[i] == i && !cyc[i]) cnt++; cout << cnt; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5; vector<int> g[N]; int mark[N]; int cnt[N]; int ed[N]; void dfs(int v, int c) { mark[v] = c; cnt[c]++; for (int u : g[v]) { if (mark[u] == -1) { dfs(u, c); } } } int main() { int n, m; scanf("%d%d", &n, &m); vector<pair<int, int> > e(m); for (int i = 0; i < m; i++) { scanf("%d%d", &e[i].first, &e[i].second); --e[i].first, --e[i].second; g[e[i].first].push_back(e[i].second); g[e[i].second].push_back(e[i].first); } memset(mark, -1, sizeof mark); int c = 0; for (int i = 0; i < n; i++) { if (mark[i] == -1) { dfs(i, c++); } } for (int i = 0; i < m; i++) { ed[mark[e[i].first]]++; } int ans = 0; for (int i = 0; i < c; i++) { if (ed[i] == cnt[i] - 1) { ans++; } } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; vector<vector<int> > g; bitset<int(1e5)> visited; int parent[int(1e5)]; long long min(long long a, long long b) { return a < b ? a : b; } void dfs(int u) { visited[u] = true; for (int v : g[u]) if (!visited[v]) dfs(v); } int find(int u) { if (parent[u] == u) return u; return parent[u] = find(parent[u]); } void solve(int n, int m) { for (int i = 0; i < n; i++) parent[i] = i; int cnt = n; int u, v; for (int i = 0; i < m; i++) { cin >> u >> v; u--, v--; u = find(u), v = find(v); if (u == v) visited[u] = true; else { parent[u] = v; cnt--; visited[v] = visited[u] || visited[v]; } } for (int i = 0; i < n; i++) if (parent[i] == i && visited[i]) cnt--; cout << cnt << "\n"; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; solve(n, m); }
#include <bits/stdc++.h> using namespace std; const int MaxN = 100100; int N, M; int cnt = -1; bool been[MaxN]; vector<int> adj[MaxN]; vector<int> Ver[MaxN]; int beenKomp[MaxN]; bool dfsKomp(int i) { bool ret = 1; beenKomp[i] = 1; for (auto v : adj[i]) { if (!beenKomp[v]) { ret &= dfsKomp(v); } else if (beenKomp[v] == 2) { ret &= 0; } } beenKomp[i] = 2; return ret; } void dfs(int i) { been[i] = 1; for (auto v : adj[i]) { if (!been[v]) dfs(v); } Ver[cnt].push_back(i); } int main() { cin >> N >> M; int ta, tb; for (int i = (0); i < (M); i++) { scanf("%d%d", &ta, &tb); ta--; tb--; adj[ta].push_back(tb); adj[tb].push_back(ta); } for (int i = (0); i < (N); i++) { if (!been[i]) { cnt++; dfs(i); } } int sol = 0; for (int k = (0); k < (cnt + 1); k++) { if (dfsKomp(Ver[k][0])) sol++; } cout << sol << endl; return 0; }
#include <bits/stdc++.h> using namespace std; vector<list<int> > adj(100001); int parent[100001]; bool vi[100001]; bool v[100001]; void dfs(int i) { v[i] = true; list<int>::iterator i1; for (i1 = adj[i].begin(); i1 != adj[i].end(); i1++) { if (v[*i1] == false) dfs(*i1); } } int detect_cycle(int i, int coming) { vi[i] = true; list<int>::iterator it; for (it = adj[i].begin(); it != adj[i].end(); it++) { if (vi[*it] == false) { int k = detect_cycle(*it, i); if (k == 1) return k; else continue; } else { if (coming == *it) continue; else return 1; } } return 0; } int main() { int n, m; cin >> n >> m; int i, j, k, x, y, c = 0; for (i = 0; i < m; i++) { cin >> x >> y; adj[x].push_back(y); adj[y].push_back(x); } list<int> nodes; for (i = 1; i <= n; i++) { if (v[i] == false) { nodes.push_back(i); dfs(i); } } list<int>::iterator it; for (it = nodes.begin(); it != nodes.end(); it++) { if (adj[*it].size() == 0) c++; else { k = detect_cycle(*it, -1); if (k == 0) c++; } } cout << c; return 0; }
#include <bits/stdc++.h> using namespace std; const long long inf = 0x3f3f3f3f3f3f3f3f; long long unionfind(long long i, vector<long long> &group) { vector<long long> v; while (group[i] != i) { v.push_back(i); group[i] = i; } for (long long x : v) { group[x] = i; } return i; } bool iscycle(long long s, vector<bool> &vis, vector<vector<long long> > &adj, long long par) { vis[s] = true; for (auto it = adj[s].begin(); it != adj[s].end(); it++) { if (!vis[*it]) { if (iscycle(*it, vis, adj, s)) { return true; } } else if (*it != par) { return true; } } return false; } void dfs(long long s, vector<vector<long long> > &adj, vector<bool> &vis, vector<long long> &group) { vis[s] = true; for (auto it = adj[s].begin(); it != adj[s].end(); it++) { if (!vis[*it]) { group[*it] = s; dfs(*it, adj, vis, group); } } } int32_t main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long t; t = 1; while (t--) { long long n, m, i; cin >> n >> m; vector<vector<long long> > adj(n + 1); for (i = 0; i < m; i++) { long long a, b; cin >> a >> b; adj[a].push_back(b); adj[b].push_back(a); } vector<long long> group(n + 1); for (i = 1; i <= n; i++) group[i] = i; vector<bool> vis(n + 1, false); for (i = 1; i <= n; i++) { if (!vis[i]) dfs(i, adj, vis, group); } fill(vis.begin(), vis.end(), false); long long ans = 0; for (i = 1; i <= n; i++) { if (!vis[i]) { if (!iscycle(i, vis, adj, -1)) ans++; } } cout << ans << '\n'; } return 0; }
#include <bits/stdc++.h> int INF = 2147483647; double INFD = 2147483647; double PI = 3.14159265359; using namespace std; bool DFS(int u, int p, vector<vector<int> >& graph, vector<int>& visited, int& visit_count) { bool answer = false; if (visited[u] == 1) { return true; } visit_count++; visited[u] = 1; int i = 0; while (i < graph[u].size()) { int v = graph[u][i]; if (v != p) { bool dfs = DFS(v, u, graph, visited, visit_count); answer = answer || dfs; } i++; } return answer; } int Solve(vector<vector<int> >& graph) { int u = 0, count = 0; vector<int> visited(graph.size(), 0); while (u < graph.size()) { if (!visited[u]) { int visit_count = 0; bool dfs = !DFS(u, u, graph, visited, visit_count); if (visit_count == 1 || dfs) { count++; } } u++; } return count; } int main() { int n = 0, m = 0; cin >> n >> m; vector<vector<int> > graph(n); int i = 0; while (i < m) { int u = 0, v = 0; cin >> u >> v; u--; v--; graph[u].push_back(v); graph[v].push_back(u); i++; } cout << Solve(graph) << endl; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> v[100001]; bool vis[100001]; void dfs(int nod, int parent, int &flag) { int i; vis[nod] = 1; for (i = 0; i < v[nod].size(); i++) { int curr = v[nod][i]; if (vis[curr] == 0) { dfs(curr, nod, flag); } else if (parent != curr) { flag = 1; } } return; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int cit, road, i, u1, v1; cin >> cit >> road; for (i = 1; i <= road; i++) { cin >> u1 >> v1; v[v1].push_back(u1); v[u1].push_back(v1); } int flag, cnt = 0, parent = -1; for (i = 1; i <= cit; i++) { flag = 0; if (vis[i] == 0) { dfs(i, parent, flag); if (flag == 0) { cnt++; } } } cout << cnt; return 0; }
#include <bits/stdc++.h> using namespace std; vector<long long> adj[100001]; bool visited[100001]; bool recStack[100001]; vector<long long> p(100001, -1); vector<long long> rnk(100001, -1); void create_set(int x) { visited[x] = 1; p[x] = x; rnk[x] = 0; } int find_set(int i) { if (p[i] != i) p[i] = find_set(p[i]); return p[i]; } void merge_set(int x, int y) { int px = find_set(x); int py = find_set(y); if (rnk[px] > rnk[py]) p[py] = px; else p[px] = py; if (rnk[px] == rnk[py]) rnk[py] = rnk[py] + 1; } bool dfs(long long node, long long parent) { visited[node] = 1; for (auto i : adj[node]) { if (!visited[i]) { if (dfs(i, node)) return true; } else if (i != parent) return true; } return false; } int main() { iostream::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); ; long long n, m; cin >> n >> m; for (long long i = (0); i < (m); ++i) { long long a, b; cin >> a >> b; adj[a].push_back(b); adj[b].push_back(a); } long long cnt = 0; memset(visited, 0, sizeof(visited)); for (long long i = (1); i < (n + 1); ++i) { if (!visited[i]) { if (dfs(i, 0) == 0) cnt++; } } cout << cnt; }
#include <bits/stdc++.h> using namespace std; long long int tp[2000005]; std::vector<long long int> v[100005]; long long int vis[100005], deg[100005], ecnt, vcnt; void timepass() { for (int i = 0; i < 2000005; ++i) { tp[i] = i; } } void DFS(int s) { vis[s] = 1; vcnt++; ecnt += deg[s]; for (int i = 0; i < v[s].size(); ++i) { if (!vis[v[s][i]]) { DFS(v[s][i]); } } } int main() { long long int q, n, t, m, k = 1, i, j, f = 0, g = 0, h, c = 0, m1, m2, d = 0; timepass(); cin >> n >> m; for (int i = 0; i < m; ++i) { cin >> m1 >> m2; v[m1].push_back(m2); v[m2].push_back(m1); deg[m1]++; deg[m2]++; } for (int i = 1; i < n + 1; ++i) { if (!vis[i]) { ecnt = vcnt = 0; DFS(i); ecnt = ecnt / 2; if (ecnt < vcnt) c++; } } cout << c; return 0; }
#include <bits/stdc++.h> int du[100010], fa[100010], s1[100010], s2[100010]; int find(int x) { if (x != fa[x]) fa[x] = find(fa[x]); return fa[x]; } int main() { int n, m, x, y, i, j, k, sum; scanf("%d%d", &n, &m); for (i = 1; i <= n; i++) fa[i] = i; memset(du, 0, sizeof(du)); memset(s1, 0, sizeof(s1)); memset(s2, 0, sizeof(s2)); for (i = 1; i <= m; i++) { scanf("%d%d", &x, &y); j = find(x); k = find(y); du[x]++; du[y]++; if (j != k) { if (j < k) fa[k] = j; else fa[j] = k; } } for (i = 1; i <= n; i++) { j = find(i); s1[j] = s1[j] + du[i]; s2[j]++; } sum = 0; for (i = 1; i <= n; i++) if (s2[i] != 0) { j = s1[i] / 2; if (j < s2[i]) sum = sum + s2[i] - j; } printf("%d\n", sum); }
#include <bits/stdc++.h> using namespace std; vector<int> v[100005]; bool vis[100005]; bool tree; void dfs(int n, int p) { vis[n] = true; for (int i = 0; i < v[n].size(); i++) { if (!vis[v[n][i]]) dfs(v[n][i], n); else if (v[n][i] != p) tree = false; } } int main() { int n, m, a, b; cin >> n >> m; for (int i = 1; i <= m; i++) { cin >> a >> b; v[a].push_back(b); v[b].push_back(a); } int x = 0; memset(vis, false, sizeof(vis)); for (int i = 1; i <= n; i++) { if (!vis[i]) { tree = true; dfs(i, 0); if (tree) x++; } } cout << x; return 0; }
#include <bits/stdc++.h> using namespace std; long long mod = 1e9 + 7; vector<long long> fact(1); long long gcd(long long a, long long b) { if (b == 0) return a; return gcd(b, a % b); } long long power(long long x, long long y) { long long temp; if (y == 0) return 1; temp = power(x, y / 2); if (y % 2 == 0) return temp * temp; else return x * temp * temp; } long long power(long long x, long long y, long long p) { long long res = 1; x = x % p; while (y > 0) { if (y & 1) res = (res * x) % p; y = y >> 1; x = (x * x) % p; } return res; } long long modInv(long long n, long long p) { return power(n, p - 2, p); } long long ncr(long long n, long long r) { return (n >= r ? (fact[n] * modInv(fact[r], mod)) % mod * modInv(fact[n - r], mod) % mod : 0); } long long add(long long a, long long b) { long long z = a + b; if (z >= mod) z -= mod; return z; } long long mul(long long a, long long b) { return (a * b) % mod; } long long sub(long long a, long long b) { return (a - b + mod) % mod; } vector<long long> v[100005], vis(100005); long long cnte = 0, cntv = 0; void dfs(long long x) { cntv++; vis[x] = 1; for (auto i : v[x]) { cnte++; if (!vis[i]) dfs(i); } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); long long t = 1, n, i, j, c, d, m; while (t--) { cin >> n >> m; for (i = 0; i < m; i++) { cin >> c >> d; v[c].push_back(d); v[d].push_back(c); } long long ans = 0; for (i = 1; i <= n; i++) { cnte = cntv = 0; if (!vis[i]) { dfs(i); if (cnte / 2 < cntv) ans++; } } cout << ans; } }
#include <bits/stdc++.h> using namespace std; int n, m; vector<int> v[100009]; int visited[100009]; int parent[100009]; int DFS(int start) { visited[start] = 1; int i, s = v[start].size(), ans = 0; for (i = 0; i < s; i++) { if (visited[v[start][i]] == 0) { parent[v[start][i]] = start; ans = DFS(v[start][i]); } else if (parent[start] != v[start][i]) { ans = 1; } if (ans == 1) break; } return ans; } int main() { int i, j, a, b; scanf("%d%d", &n, &m); for (i = 0; i < m; i++) { scanf("%d%d", &a, &b); v[a].push_back(b); v[b].push_back(a); } int ans = 0, an; for (i = 1; i <= n; i++) { if (visited[i] == 0) { parent[i] = -1; an = DFS(i); if (an != 1) ans++; } } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; long long power(long long a, long long b, long long m) { long long ans = 1; while (b) { if (b & 1) ans = (ans * a) % m; b /= 2; a = (a * a) % m; } return ans; } long long par[200000 + 1]; long long cat[200000 + 1]; long long vis[200000 + 1]; long long m; long long iscycle = 0; void dfs(long long i, long long p, vector<long long> adj[]) { vis[i] = 1; for (long long j = 0; j < adj[i].size(); j++) { if (adj[i][j] == p) continue; if (vis[adj[i][j]] == 1 && adj[i][j] != p) { iscycle = 1; } if (vis[adj[i][j]] == 0) { dfs(adj[i][j], i, adj); } } } bool cmp(long long x, long long y) { return x > y; } int32_t main() { long long q = 1; long long Q = 1; while (q--) { long long n, m; cin >> n >> m; vector<long long> adj[n + 1]; long long p = n - 1; while (m--) { long long u, v, x; cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } long long ans = 0; for (long long i = 1; i <= n; i++) { iscycle = 0; if (vis[i] == 0) { dfs(i, 0, adj); if (iscycle == 0) { ans++; } } } cout << ans; } }
#include <bits/stdc++.h> using namespace std; vector<int> r[100000 + 1]; bool visited[100000 + 1]; int cnt; bool cycle, leaf; void dfs(int, int); int main(int argc, const char* argv[]) { int n, m; scanf("%d%d", &n, &m); while (m--) { int u, v; scanf("%d%d", &u, &v); r[u].push_back(v); r[v].push_back(u); } for (int u = 1; u <= n; u++) { if (visited[u]) continue; if (r[u].size() == 0) { cnt++; } else if (r[u].size() == 1) { visited[u] = true; cycle = leaf = false; dfs(r[u][0], u); cnt += (!cycle && leaf); } } printf("%d\n", cnt); return 0; } void dfs(int u, int from) { if (visited[u]) { return; } visited[u] = true; if (!cycle && r[u].size() == 1) { leaf = true; return; } for (auto v : r[u]) { if (v == from) continue; cycle |= visited[v]; } for (auto v : r[u]) { if (v == from) continue; dfs(v, u); } }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5; int n, m, cnt, res; vector<int> adj[N]; bool check, visited[N]; void Input() { cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v; cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } } void DFS(int u, int r) { visited[u] = true; for (int i = 0; i < adj[u].size(); i++) { int v = adj[u][i]; if (!visited[v]) DFS(v, u); else if (visited[v] && v != r) check = true; } } void Solve() { for (int i = 1; i <= n; i++) { if (!visited[i]) { check = false, DFS(i, 0); if (check == false) res++; } } } int main() { Input(); Solve(); cout << res << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100005; int p[N], s[N]; bool us[N]; int Find(int u) { return p[u] == u ? u : p[u] = Find(p[u]); } int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) { p[i] = i; s[i] = 1; } for (int i = 0; i < m; i++) { int u, v; scanf("%d%d", &u, &v); u = Find(u); v = Find(v); if (s[u] < s[v]) { swap(u, v); } p[v] = u; us[u] |= us[v]; if (u == v) { us[v] = true; } else { s[u] += s[v]; } } int res = 0; for (int u = 1; u <= n; u++) { if (u == p[u]) { res += !us[u]; } } printf("%d\n", res); }
#include <bits/stdc++.h> using namespace std; const int N = 112345; int n, m; vector<bool> visited; vector<int> adj[N]; bool found; void dfs(int n, int parent) { visited[n] = true; for (auto i : adj[n]) { if (visited[i] == false) { dfs(i, n); } else if (i != parent) { found = true; } } } int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> n >> m; for (int i = 0; i < m; ++i) { int a, b; cin >> a >> b; a--; b--; adj[a].push_back(b); adj[b].push_back(a); } visited.assign(n, false); int ans = 0; for (int i = 0; i < n; ++i) { if (visited[i] == false) { found = false; dfs(i, -1); if (found == false) { ans++; } } } cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; long long fpow(long long base, long long power) { long long result = 1; while (power > 0) { if (power % 2 == 1) { result = (result * base); } base = (base * base); power /= 2; } return result; } bool visited[100100]; vector<long long> adj[100100]; int main() { long long n, m; cin >> n >> m; long long i, j, x, ans = 0; for (i = 0; i < m; i++) { long long u, v; cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } memset(visited, 0, sizeof(visited)); for (i = 1; i <= n; i++) { if (visited[i] == false) { long long edgeno = 0, nodes = 0; queue<long long> Q; Q.push(i); while (!Q.empty()) { long long nodeQ = Q.front(); Q.pop(); nodes++; visited[nodeQ] = true; for (j = 0; j < adj[nodeQ].size(); j++) { long long to = adj[nodeQ][j]; if (visited[to] == false) { Q.push(to); } edgeno++; } } edgeno /= 2; if (edgeno == nodes - 1) { ans++; } } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> graph[200007]; bool vis[200007]; bool dfs(int node, int par = -1) { vis[node] = true; bool tree = true; for (int i = 0; i < graph[node].size(); ++i) { if (vis[graph[node][i]] && graph[node][i] != par) return false; if (!vis[graph[node][i]] && tree) tree = dfs(graph[node][i], node); } return tree; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int a, b, n, m; cin >> n >> m; while (m--) { cin >> a >> b; graph[a].push_back(b); graph[b].push_back(a); } int ans = 0; for (int i = 1; i <= n; ++i) { if (vis[i]) continue; if (graph[i].size()) { ans += (dfs(i) == true); } else ++ans; } cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; int dx[] = {1, -1, 0, 0, 1, -1, -1, 1}; int dy[] = {0, 0, 1, -1, 1, -1, 1, -1}; vector<int> adj[100005]; bool vis[100005]; vector<vector<int> > v; vector<int> vv; void dfs(int x) { vis[x] = 1; vv.push_back(x); for (int i = 0; i < adj[x].size(); i++) if (!vis[adj[x][i]]) dfs(adj[x][i]); } int main() { int n, m, ans = 0; scanf("%d%d", &n, &m); while (m--) { int u, v; scanf("%d%d", &u, &v); adj[u].push_back(v); adj[v].push_back(u); } for (int i = 1; i <= n; i++) { if (!vis[i]) { vv.clear(); dfs(i); v.push_back(vv); } } for (int i = 0; i < v.size(); i++) { int c = 0; for (int j = 0; j < v[i].size(); j++) c += adj[v[i][j]].size(); ans += (c < v[i].size() * 2); } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const long long int mxn = 1e5 + 5; long long int par[mxn]; long long int siz[mxn]; long long int find(long long int n) { if (par[n] == n) return n; return par[n] = find(par[n]); } void unite(long long int a, long long int b) { a = find(a); b = find(b); if (a != b) { par[b] = a; siz[a] += siz[b]; } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); long long int t = 1; while (t--) { long long int i, j, k, n, m; cin >> n >> m; for (i = 1; i <= n; i++) { par[i] = i; siz[i] = 1; } vector<pair<long long int, long long int>> edg(m); vector<long long int> roads(n + 1, 0); for (i = 0; i < m; i++) { cin >> edg[i].first >> edg[i].second; unite(edg[i].first, edg[i].second); } for (i = 0; i < m; i++) roads[find(edg[i].first)]++; long long int ans = 0; set<long long int> s; for (i = 1; i <= n; i++) { s.insert(find(i)); } for (auto i : s) { k = siz[i]; if (roads[i] == k - 1) ans++; } cout << ans; } return 0; }
#include <bits/stdc++.h> using namespace std; vector<long long int> adj[100001]; bool visited[100001]; long long int n, m; int flag; void dfs(int parent, int vertex) { visited[vertex] = true; int i; for (i = 0; i < (long long int)(adj[vertex].size()); i++) { if (visited[adj[vertex][i]] == false) dfs(vertex, adj[vertex][i]); else { if (adj[vertex][i] != parent) flag = 1; } } } void solve() { cin >> n >> m; long long int i, x, y; for (i = 0; i < m; i++) { cin >> x >> y; adj[x].push_back(y); adj[y].push_back(x); } int cnt = 0; int connected_comp = 0; for (i = 1; i <= n; i++) { flag = 0; if (visited[i] == false) { dfs(0, i); connected_comp++; } if (flag) cnt++; } cout << connected_comp - cnt << "\n"; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); solve(); return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9 + 7; const int N = 100007; int n, vis[N]; vector<int> g[N]; bool dfs(int v, int p) { bool res = false; vis[v] = 1; for (auto u : g[v]) if (u != p) { if (vis[u] == 1) res |= true; else res |= dfs(u, v); } return res; } void solve() { int m; cin >> n >> m; for (int i = 0; i < m; ++i) { int u, v; cin >> u >> v; g[u].push_back(v); g[v].push_back(u); } int res = 0; for (int v = 1; v <= n; ++v) { if (vis[v] == 0) { if (!dfs(v, -1)) ++res; } } cout << res << '\n'; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.precision(10); cout << fixed; solve(); return 0; }
#include <bits/stdc++.h> using namespace std; void itval(istream_iterator<string> it) {} template <typename T, typename... Args> void itval(istream_iterator<string> it, T a, Args... args) { cerr << *it << " = " << a << endl; itval(++it, args...); } const long long int MOD = 1e9 + 7; template <typename T> inline void print(T x) { cout << x << "\n"; } template <typename T> inline void printvec(T x) { for (auto a : x) cout << a << ' '; cout << '\n'; } struct custom { bool operator()( const pair<pair<long long int, long long int>, long long int> &p1, const pair<pair<long long int, long long int>, long long int> &p2) const { if (p1.second == p2.second) { return p1.first.second < p2.first.second; } return p1.second < p2.second; } }; long long int get_pow(long long int a, long long int b) { long long int res = 1; while (b) { if (b & 1) res = (res * a) % MOD; a = (a * a) % MOD; b >>= 1; } return res; } const long long int N = 1e5 + 5, inf = 4e18; std::vector<vector<long long> > adj(N); vector<bool> vis(N, false); bool cyc = 0; long long int cnt = 0; void dfs(int s, int p) { vis[s] = 1; cnt++; for (auto x : adj[s]) { if (vis[x] && x != p) { cyc = 1; } else if (!vis[x]) dfs(x, s); } } void solve() { long long int n, m, x, y; cin >> n >> m; long long int ans = 0; for (long long int i = (long long int)0; i < (long long int)(m); i++) { cin >> x >> y; x--; y--; adj[x].push_back(y); adj[y].push_back(x); } for (long long int i = (long long int)0; i < (long long int)(n); i++) { if (!vis[i]) { cnt = 0; cyc = false; dfs(i, -1); if (cyc) continue; else ans++; } } cout << ans; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); int test = 1; clock_t z = clock(); for (long long int tes = (long long int)0; tes < (long long int)(test); tes++) { solve(); } fprintf(stderr, "Total Time:%.4f\n", (double)(clock() - z) / CLOCKS_PER_SEC), fflush(stderr); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("Ofast") #pragma GCC optimize("Ofast") #pragma GCC optimize("inline") #pragma GCC optimize("omit-frame-pointer") #pragma GCC optimize("unroll-loops") const int MAXINT = 2147483640; const long long MAXLL = 9223372036854775800LL; const long long MAXN = 1000000; const double pi = 3.1415926535897932384626433832795; using namespace std; pair<long long, long long> x1[300000]; vector<long long> v[300000]; long long f[300000]; long long kolver[300000]; long long koledg[300000]; long long kol = 0; void dfs(long long xx) { if (f[xx]) return; f[xx] = kol; for (int i = 0; i < v[xx].size(); i++) dfs(v[xx][i]); } int main() { ios_base::sync_with_stdio(0); cin.tie(0); srand(time(0)); long long n, m, i, a, b, ans = 0; cin >> n >> m; for (int i = 1; i <= m; i++) { cin >> a >> b; v[a].push_back(b); v[b].push_back(a); x1[i] = make_pair(a, b); } for (int i = 1; i <= n; i++) if (!f[i]) { kol++; dfs(i); } for (int i = 1; i <= n; i++) kolver[f[i]]++; for (int i = 1; i <= m; i++) { a = x1[i].first; b = x1[i].second; koledg[f[a]]++; } for (int i = 1; i <= kol; i++) if (koledg[i] == kolver[i] - 1) ans++; cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; bool vis[100005]; vector<int> adj[100005]; int n, m, u, v, d_edges, nodes, sz, answer; void dfs(int c) { vis[c] = 1; nodes++; d_edges += adj[c].size(); for (int j = 0; j < adj[c].size(); j++) { if (!vis[adj[c][j]]) dfs(adj[c][j]); } } int main() { scanf("%d%d", &n, &m); while (m--) { scanf("%d%d", &u, &v); adj[u].push_back(v); adj[v].push_back(u); } for (int i = 1; i <= n; i++) { if (!vis[i]) { dfs(i); if (nodes * 2 > d_edges) answer++; d_edges = nodes = 0; } } printf("%d", answer); return 0; }
#include <bits/stdc++.h> using namespace std; vector<long long> ed[100100]; bool vis[100100]; bool tree; void dfs(long long n, long long p) { vis[n] = 1; for (long long i = 0; i < ed[n].size(); i++) { if (vis[ed[n][i]] == 0) { dfs(ed[n][i], n); } else if (ed[n][i] != p) { tree = 0; } } } int main() { long long n, m, x, y, i; cin >> n >> m; while (m--) { scanf("%lld", &x); scanf("%lld", &y); ed[x].push_back(y); ed[y].push_back(x); } x = 0; for (i = 1; i <= n; i++) { if (vis[i] == 0) { tree = 1; dfs(i, 0); if (tree == 1) x++; } } cout << x << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int dx[4] = {0, 0, 1, -1}; int dy[4] = {1, -1, 0, 0}; const int mod = (int)1e9 + 7; const long long INF64 = 3e18; void smxl(long long &a, long long b) { if (a < b) a = b; } void smnl(long long &a, long long b) { if (a > b) a = b; } void adsl(long long &a, long long b) { a += b; if (a >= mod) a -= mod; } void misl(long long &a, long long b) { a -= b; if (a >= mod) a -= mod; if (a < 0) a += mod; } void smx(long long &a, long long b) { if (a < b) a = b; } void smn(long long &a, long long b) { if (a > b) a = b; } void ads(long long &a, long long b) { a += b; if (a >= mod) a -= mod; } void mis(long long &a, long long b) { a -= b; if (a >= mod) a -= mod; if (a < 0) a += mod; } long long gcd(long long a, long long b) { return (b == 0 ? a : gcd(b, a % b)); } long long egcd(long long a, long long b, long long &x, long long &y) { if (a == 0) { x = 0; y = 1; return b; } long long x1, y1; long long d = egcd(b % a, a, x1, y1); x = y1 - (b / a) * x1; y = x1; return d; } long long mbinp(long long a, long long b) { a %= mod; if (b == 0) return 1; long long ans = mbinp(a, b / 2); long long tmp = (ans * ans) % mod; if (b % 2) return ((tmp * a) % mod); return ((tmp) % mod); } long long binp(long long a, long long b) { if (b == 0) return 1; long long ans = binp(a, b / 2); long long tmp = (ans * ans); if (b % 2) return ((tmp * a)); return ((tmp)); } long long C(int n, int m) { long long ret = 1; for (int i = 1; i <= m; i++) { ret *= (n - i + 1); ret /= i; } return ret; } long long overbinp(long long a, int b) { long long res = 1; while (b) { if (b & 1) { if (res < INF64 / a) res *= a; else return INF64; } if (b > 1) { if (a < INF64 / a) a *= a; else return INF64; } b >>= 1; } return res; } const int nax = 1e5 + 50; int par[nax]; int siize[nax]; int get(int x) { return (x == par[x] ? x : par[x] = get(par[x])); } void merge(int a, int b) { int x = get(a); int y = get(b); if (x == y) return; if (siize[x] < siize[y]) swap(x, y); par[y] = x; siize[x] += siize[y]; } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); int n, m; cin >> n >> m; int cnt = 0; for (int i = 0; i < n; i++) { par[i] = i; siize[i] = 1; } vector<pair<int, int> > ed; map<int, int> cc; map<int, int> edincc; while (m--) { int a, b; cin >> a >> b; a--; b--; ed.push_back(make_pair(a, b)); merge(a, b); } for (int i = 0; i < ed.size(); i++) edincc[get(ed[i].first)]++; for (int i = 0; i < n; i++) cc[get(i)]++; for (auto t : cc) if (cc[t.first] > edincc[t.first]) cnt++; cout << cnt; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; vector<int> edge[N << 1]; bool vis[N]; int num = 0; int cnt = 0; void dfs(int u) { num++; vis[u] = true; cnt += edge[u].size(); for (int i = 0; i < edge[u].size(); i++) { int v = edge[u][i]; if (vis[v]) continue; dfs(v); } } int main() { int n, m; cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v; cin >> u >> v; edge[u].push_back(v); edge[v].push_back(u); } int ret = 0; for (int i = 1; i <= n; i++) { if (vis[i]) continue; num = 0; cnt = 0; dfs(i); cnt /= 2; if (cnt < num) ret++; } cout << ret << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int cir[1100000]; int pre[1100000]; int n, m; int find_(int x) { return pre[x] == x ? x : pre[x] = find_(pre[x]); } void init() { for (int i = 0; i <= n; i++) pre[i] = i; } int main() { scanf("%d%d", &n, &m); init(); for (int i = 1; i <= m; i++) { int x, y; scanf("%d%d", &x, &y); int find_x = find_(x); int find_y = find_(y); if (find_x == find_y) cir[find_x] = find_x; else { pre[find_x] = find_y; if (cir[find_x]) cir[find_y] = cir[find_x]; } } int ans = 0; for (int i = 1; i <= n; i++) { if (pre[i] == i && !cir[i]) ans++; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; int n, m, d[N], v, u; set<int> nei[N], zero, one; bool mark[N]; void isval(int v) { if (d[v] == 1) one.insert(v); else if (d[v] == 0) zero.insert(v); } int main() { scanf("%d", &n); scanf("%d", &m); for (int i = 0; i < m; i++) { scanf("%d", &v); scanf("%d", &u); v--, u--; nei[v].insert(u); nei[u].insert(v); d[v]++; d[u]++; } for (int i = 0; i < n; i++) { isval(i); } while (one.size() > 0) { v = *one.begin(); mark[v] = true; one.erase(v); for (set<int>::iterator it = nei[v].begin(); it != nei[v].end(); it++) { u = *it; d[u]--; if (!mark[u]) isval(u); } } int answer = zero.size(); cout << answer; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> graph[100001]; int visited[100001] = {0}, parent[100001] = {0}; int dfs(int s, int p) { visited[s] = 1; int f = 1; for (int j = 0; j < graph[s].size(); j++) if (!visited[graph[s][j]]) { parent[graph[s][j]] = s; f = min(f, dfs(graph[s][j], p)); } else if (parent[s] != graph[s][j]) { f = 0; } return f; } int main() { int n, m, ans = 0, i, x, y; cin >> n >> m; for (i = 0; i < m; i++) { cin >> x >> y; graph[x].push_back(y); graph[y].push_back(x); } for (i = 1; i <= n; i++) if (!visited[i]) { parent[i] = -1; ans += dfs(i, i); } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; vector<int> v[100010]; int vis[100010]; int res; int flag = 0; void dfs(int pre, int index) { vis[index] = 1; res++; for (int i = 0; i < v[index].size(); i++) { if (v[index][i] != pre && vis[v[index][i]]) { flag = 1; continue; } if (!vis[v[index][i]]) { dfs(index, v[index][i]); } } return; } int main() { cin >> n >> m; int a, b; res = 0; memset(vis, 0, sizeof(vis)); for (int i = 1; i <= m; i++) { scanf("%d%d", &a, &b); v[a].push_back(b); v[b].push_back(a); } for (int i = 1; i <= n; i++) { flag = 0; if (!vis[i]) { dfs(0, i); if (!flag) { res--; } } } cout << n - res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int INF = 1e9 + 23; const int MOD = 1e9 + 7; const int SZ = 1e5 + 100; bool vis[SZ]; vector<int> G[SZ]; bool dfs(int v, int from) { vis[v] = true; bool ret = false; for (auto u : G[v]) { if (u == from) continue; if (vis[u]) { ret |= true; } else { ret |= dfs(u, v); } } return ret; } int main() { ios_base::sync_with_stdio(0); int n, m, a, b; cin >> n >> m; for (int i = 0; i < m; ++i) { cin >> a >> b; G[a].push_back(b); G[b].push_back(a); } int ans = 0; for (int i = 1; i <= n; ++i) { if (vis[i]) continue; ans += !dfs(i, -1); } cout << ans << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const long long mod = 1e9 + 7, INF = 1e18, mx = 1e5 + 5, mn = 100; int testCase = 1, cas = 0; vector<int> G[mx]; int n, m; int vis[mx], par[mx], indegree[mx]; int ok; void dfs(int u) { vis[u]++; for (int i = 0; i < G[u].size(); i++) { int v = G[u][i]; if (!vis[v]) { par[v] = u; indegree[v]++; dfs(v); } else if (par[u] != v) ok = 1; } } int main() { ios_base ::sync_with_stdio(0), cin.tie(0); cin >> n >> m; for (int i = 0; i < m; i++) { int a, b; cin >> a >> b; G[a].push_back(b); G[b].push_back(a); } int ans = 0; for (int i = 1; i <= n; i++) { if (!vis[i]) { ok = 0; dfs(i); if (!ok) ans++; } } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; int p[N]; int cycle[N]; int root(int x) { return p[x] == x ? x : p[x] = root(p[x]); } bool join(int x, int y) { x = root(x); y = root(y); if (x == y) return false; if (rand() & 1) swap(x, y); p[x] = y; cycle[y] |= cycle[x]; return true; } int main() { ios_base::sync_with_stdio(false); for (int _n(N), i(0); i < _n; i++) p[i] = i; int n, m; cin >> n >> m; for (int _n(m), i(0); i < _n; i++) { int x, y; cin >> x >> y; --x, --y; if (!join(x, y)) { cycle[root(x)] = 1; } } set<int> s; for (int _n(n), i(0); i < _n; i++) s.insert(root(i)); int ans = (int)s.size(); for (int x : s) ans -= cycle[x]; cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1000011, M = N << 1; int n, m, fa[N], ans, f, head[N], cnt, siz[N], vis[N], sum; struct edge { int to, nex; } t[M]; inline void add(int x, int y) { t[++cnt].to = y; t[cnt].nex = head[x]; head[x] = cnt; return; } void dfs(int x, int bb) { vis[x] = 1; for (int i = head[x]; i; i = t[i].nex) { int y = t[i].to; if (y == bb) continue; if (vis[y]) { f = 1; continue; } vis[y] = 1; dfs(y, x); } return; } inline long long read() { long long x = 0; char ch = getchar(); bool f = 1; for (; !isdigit(ch); ch = getchar()) if (ch == '-') f = 0; for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0'; return f ? x : -x; } int main() { n = read(); m = read(); for (int i = 1, u, v; i <= m; i++) { u = read(); v = read(); add(u, v); add(v, u); } for (int i = 1; i <= n; i++) { if (!vis[i]) { f = 0; dfs(i, 0); if (f == 0) ans++; } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 10; int father[maxn]; int vis[maxn]; int n, m; void Init() { memset(vis, false, sizeof(vis)); for (int i = 1; i < maxn; i++) { father[i] = i; } } int con(int x) { if (x != father[x]) { int rt = father[x]; father[x] = con(father[x]); } return father[x]; } void Union(int x, int y) { int xx = con(x); int yy = con(y); if (xx != yy) { father[yy] = xx; if (vis[xx] || vis[yy] || vis[x] || vis[y]) vis[xx] = vis[yy] = vis[x] = vis[y] = true; return; } vis[xx] = vis[yy] = vis[x] = vis[y] = true; } int main() { while (~scanf("%d%d", &n, &m)) { Init(); int sum = 0; for (int i = 0; i < m; i++) { int a, b; scanf("%d%d", &a, &b); Union(a, b); } for (int i = 1; i <= n; i++) { if (vis[con(i)] == false && con(i) == i) sum++; } printf("%d\n", sum); } return 0; }
#include <bits/stdc++.h> using namespace std; const long double epsilon = 1e-9; const long long MOD = 1e9 + 7; const long long N = 1e5 + 5; vector<long long> arr[N], vis(N, 0); bool haveCycle = 0; bool comp(long long a, long long b) { return (a > b); } long long binpow(long long a, long long b) { long long res = 1; while (b > 0) { if (b & 1) res *= a; a = a * a; b >>= 1; } return res; } void dfs(long long u, long long p) { vis[u] = 1; for (auto x : arr[u]) { if (!vis[x]) dfs(x, u); else if (x != p) haveCycle = 1; } } void runcase() { long long n, m; cin >> n >> m; for (long long i = 0; i < m; i++) { long long u, v; cin >> u >> v; arr[u].push_back(v); arr[v].push_back(u); } long long res = 0; for (long long i = 1; i < n + 1; i++) { if (!vis[i]) { haveCycle = 0; dfs(i, -1); if (!haveCycle) res++; } } cout << res << "\n"; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.precision(10); long long tests = 1; while (tests--) { runcase(); } return 0; }
#include <bits/stdc++.h> using namespace std; long long n, i, j, k, l, sum = 0, flag = 0, t, first, m, ans = 0, second, visited[100005]; vector<long long int> v[100005]; void dfs(int node) { first++; visited[node] = 1; second += v[node].size(); for (auto j : v[node]) { if (!visited[j]) dfs(j); } } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); cin >> n >> m; for (i = 0; i < m; i++) { cin >> j >> k; v[k].push_back(j); v[j].push_back(k); } for (i = 1; i <= n; i++) { if (!visited[i]) { dfs(i); second /= 2; if (first == second + 1) ans++; first = 0; second = 0; } } cout << ans << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; struct Node { Node() : vis(0), comp(-1) {} int vis; int comp; vector<int> adj; }; void dfs(vector<Node>& a, int u, int comp) { a[u].vis = true; a[u].comp = comp; for (auto v : a[u].adj) { if (a[v].vis == false) { dfs(a, v, comp); } } } int main() { std::ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; vector<Node> a(n); for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; a[u - 1].adj.push_back(v - 1); a[v - 1].adj.push_back(u - 1); } int comp = 0; for (int i = 0; i < n; i++) { if (a[i].vis == 0) { dfs(a, i, comp++); } } int res = 0; vector<pair<int, int>> comps(comp); for (int i = 0; i < n; i++) { comps[a[i].comp].first += a[i].adj.size(); comps[a[i].comp].second++; } for (int i = 0; i < comps.size(); i++) { if (2 * comps[i].second - comps[i].first > 0) res++; } cout << res << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; int fa[N]; bool flag[N]; int find(int x) { int r = x; while (fa[r] != r) r = fa[r]; int i = x, j; while (i != r) { j = fa[i]; fa[i] = r; i = j; } return r; } int main() { int n, m, i, j; int x, y, fx, fy; int ans; ans = 0; cin >> n >> m; for (i = 1; i <= n; i++) fa[i] = i; while (m--) { cin >> x >> y; fx = find(x); fy = find(y); if (fx != fy) { fa[fx] = fy; if (flag[x] || flag[y] || flag[fx] || flag[fy]) flag[fy] = flag[fx] = flag[x] = flag[y] = true; } else flag[fy] = flag[fx] = flag[x] = flag[y] = true; } for (i = 1; i <= n; i++) { if (find(i) == i && !flag[find(i)]) ans++; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> adj[100005]; bool cycle, visit[100005]; void dfs(int s, int prev) { visit[s] = true; for (int i = 0; i < adj[s].size(); i++) { int t = adj[s][i]; if (!visit[t]) { dfs(t, s); } else if (visit[t] && t != prev) { cycle = true; } } } int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int n, m; cin >> n >> m; for (int i = 0; i < m; i++) { int x, y; cin >> x >> y; adj[x].push_back(y); adj[y].push_back(x); } int cnt = 0; for (int i = 1; i <= n; i++) { cycle = false; if (!visit[i]) { dfs(i, 0); if (!cycle) { cnt++; } } } cout << cnt << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 1; const int maxn = 30; vector<int> g[N]; int w, p[N], used[N]; void dfs(int v) { used[v] = 1; for (int i = 0; i < g[v].size(); i++) { int to = g[v][i]; if (!used[to]) { p[to] = v; dfs(to); } if (used[to] == 1 && p[v] != to) { w = 1; } } used[v] = 2; } int main() { int n, m; cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v; cin >> u >> v; g[u].push_back(v); g[v].push_back(u); } int ans = 0; for (int i = 1; i <= n; i++) { if (!used[i]) { dfs(i); if (w == 0) ans++; w = 0; } } cout << ans; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5; vector<int> G[N]; int ans = 0, res; int vis[N]; void dfs(int u, int f) { if (vis[u]) { res = 1; return; } else vis[u] = 1; for (auto i : G[u]) if (i != f) dfs(i, u); } int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int u, v; scanf("%d%d", &u, &v); G[u].push_back(v); G[v].push_back(u); } for (int i = 1; i <= n; i++) if (!vis[i]) res = 0, dfs(i, -1), ans++, ans -= res; printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 7; vector<int> adj[N]; int tmp, ans; bool vis[N]; int n, m; void dfs(int i, int p) { vis[i] = 1; for (auto v : adj[i]) { if (vis[v] && v != p) tmp = 0; else if (!vis[v]) dfs(v, i); } } int main() { cin >> n >> m; for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; adj[u].push_back(v); adj[v].push_back(u); } for (int i = 1; i <= n; i++) { tmp = i; if (!vis[i]) { dfs(i, 0); if (tmp > 0) ans++; } } cout << ans; }
#include <bits/stdc++.h> using namespace std; int par[100005]; int cycles[100005]; bool vis[100005]; int find_set(int x) { if (x == par[x]) return x; par[x] = find_set(par[x]); return par[x]; } int main() { int n, m, x, y, ans = 0; cin >> n >> m; for (int i = 1; i <= n; i++) par[i] = i, cycles[i] = 0; while (m--) { cin >> x >> y; int par_x = find_set(x); int par_y = find_set(y); if (par_x == par_y) { cycles[par_x]++; continue; } else { cycles[par_y] += cycles[par_x]; cycles[par_x] = 0; par[par_x] = par_y; } } for (int i = 1; i <= n; i++) { int par_i = find_set(i); if (vis[par_i]) continue; vis[par_i] = true; ans += (cycles[par_i] == 0); } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100009; vector<vector<int>> gr(N); bool used[N]; int s = -1; int dfs(int v, int prv = 0) { used[v] = true; for (auto u : gr[v]) { if (u == prv) continue; if (used[u]) { s = 0; return 0; } dfs(u, v); } return s == 0 ? 0 : 1; } int main() { int n, m; cin >> n >> m; for (int i = 0; i < m; i++) { int a = 0, b = 0; scanf("%d%d", &a, &b); gr[a].push_back(b); gr[b].push_back(a); } int ans = 0; for (int i = 1; i <= n; i++) { if (!used[i]) ans += dfs(i); s = -1; } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; int fa[N]; bool flag[N]; int find(int x) { int r = x; while (fa[r] != r) r = fa[r]; int i = x, j; while (i != r) { j = fa[i]; fa[i] = r; i = j; } return r; } int main() { int n, m, i, j; int x, y, fx, fy; int ans; ans = 0; cin >> n >> m; for (i = 1; i <= n; i++) fa[i] = i; while (m--) { cin >> x >> y; fx = find(x); fy = find(y); if (fx != fy) { fa[fx] = fy; flag[fy] |= flag[fx]; } else flag[fx] = flag[fy] = true; } for (i = 1; i <= n; i++) { int tem = find(i); if (tem == i && !flag[tem]) ans++; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int p[100010][2], root[100010]; int find_root(int u) { if (u == root[u]) return u; return root[u] = find_root(root[u]); } int main() { int N, M, i, u, v, uu, vv; scanf("%d %d", &N, &M); for (i = 1; i <= N; i++) { root[i] = i; p[i][0] = 1; } for (i = 0; i < M; i++) { scanf("%d %d", &u, &v); uu = find_root(u); vv = find_root(v); if (uu == vv) p[uu][1]++; else { if (p[uu][0] > p[vv][0]) swap(uu, vv); root[uu] = vv; p[vv][0] += p[uu][0]; p[vv][1] += p[uu][1] + 1; p[uu][0] = p[uu][1] = 0; } } int ans = 0; for (i = 1; i <= N; i++) { if (p[i][0] <= p[i][1]) continue; ans++; } printf("%d\n", ans); return 0; }
#include <bits/stdc++.h> using namespace std; int main() { int n, m; cin >> n >> m; vector<set<int>> con(n + 1); for (int i = 0, a, b; i < m; ++i) { scanf("%d %d", &a, &b); con[a].insert(b); con[b].insert(a); } vector<bool> used(n + 1, false); int ans = 0; for (int i = 1; i <= n; ++i) { if (not used[i]) { used[i] = true; bool cycled = false; deque<int> que{i}; while (not que.empty()) { int cur = que.front(); que.pop_front(); for (auto t : con[cur]) { if (used[t]) { cycled = true; } else { used[t] = true; que.push_front(t); } con[t].erase(cur); } con[cur].clear(); } ans += (not cycled); } } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6; vector<int> g[N]; bool was[N]; bool marked[N]; bool dfs(int i, int p = -1) { was[i] = true; bool lel = false; for (auto x : g[i]) { if (x != p) { if (was[x]) return true; else lel = lel || dfs(x, i); } } return lel; } void mark(int i, int p = -1) { marked[i] = true; for (auto x : g[i]) { if (x == p) continue; if (!marked[x]) mark(x, i); } } int main() { ::ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); int n, m; cin >> n >> m; for (int i = 0; i < m; ++i) { int a, b; cin >> a >> b; --a, --b; g[a].push_back(b); g[b].push_back(a); } int ans = 0; for (int i = 0; i < n; ++i) { if (marked[i]) continue; bool k = dfs(i, -1); if (k == false) ++ans; mark(i); } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, nr, nrmuchi, ans; vector<int> v[100001]; int vizitat[100001]; void dfs(int nod) { vizitat[nod] = 1; nr++; for (int i = 0; i < v[nod].size(); ++i) { nrmuchi++; if (!vizitat[v[nod][i]]) { vizitat[v[nod][i]] = 1; int x = v[nod][i]; dfs(x); } } } int main() { cin >> n >> m; for (int i = 1; i <= m; ++i) { int a, b; cin >> a >> b; v[a].push_back(b); v[b].push_back(a); } for (int i = 1; i <= n; ++i) { nr = 0; nrmuchi = 0; if (!vizitat[i]) { dfs(i); if (nr > nrmuchi / 2) ++ans; } } cout << ans; }