text
stringlengths
49
983k
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 7; struct EDGE { int to, next, id; } edge[maxn * 2]; int n, m, head[maxn], edge_num, Inx, dfn[maxn], low[maxn], used[maxn * 2]; stack<int> stk; vector<int> ans; void add_edge(int u, int v, int id) { edge[edge_num].to = v; edge[edge_num].next = head[u]; edge[edge_num].id = id; head[u] = edge_num++; } void tarjan(int u, int fa) { dfn[u] = low[u] = ++Inx; for (int i = head[u]; i != -1; i = edge[i].next) { int v = edge[i].to; if (v == fa) continue; if (used[i]) continue; used[i] = used[i ^ 1] = 1; stk.push(i); if (!dfn[v]) { tarjan(v, u); low[u] = min(low[u], low[v]); if (dfn[u] <= low[v]) { set<int> tmp_ver_set; set<int> tmp_edge_set; tmp_ver_set.insert(u); int x; do { x = stk.top(); stk.pop(); tmp_edge_set.insert(edge[x].id); tmp_ver_set.insert(edge[x].to); } while (x != i); if (tmp_edge_set.size() == tmp_ver_set.size()) for (set<int>::iterator it = tmp_edge_set.begin(); it != tmp_edge_set.end(); it++) ans.push_back(*it); } } else low[u] = min(low[u], dfn[v]); } } int main() { scanf("%d %d", &n, &m); memset(head, 255, sizeof(head)); for (int i = 1; i <= m; i++) { int u, v; scanf("%d %d", &u, &v); add_edge(u, v, i); add_edge(v, u, i); } for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, i); sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < (int)ans.size(); i++) printf("%d ", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100005, M = 200005; int n, m, tot = 1, Next[M], to[M], head[M], pre[N], low[N], tim = 0, ss[N], re[N], cur = 0, co[N], now = 0; bool bo[M]; stack<int> s; inline void add(int x, int y) { Next[++tot] = head[x]; to[tot] = y; head[x] = tot; } inline void dfs(int x, int fa) { int i, j, ct, tp; pre[x] = low[x] = ++tim; for (i = head[x]; i; i = Next[i]) if (to[i] != fa && !bo[i]) { bo[i] = bo[i ^ 1] = 1; s.push(i); if (!pre[to[i]]) { dfs(to[i], x); low[x] = min(low[x], low[to[i]]); if (low[to[i]] >= pre[x]) { ct = tp = 0; ++now; while (s.top() != i) { if (co[to[s.top()]] != now) co[to[s.top()]] = now, ct++; if (co[to[s.top() ^ 1]] != now) co[to[s.top() ^ 1]] = now, ct++; ss[++tp] = s.top(); s.pop(); } if (co[to[i]] != now) co[to[i]] = now, ct++; if (co[to[i ^ 1]] != now) co[to[i ^ 1]] = now, ct++; ss[++tp] = i; s.pop(); if (pre[x] == low[to[i]] && ct == tp) for (j = 1; j <= tp; j++) re[++re[0]] = ss[j]; } } else low[x] = min(low[x], pre[to[i]]); } } int main() { int i, x, y; scanf("%d%d", &n, &m); memset(co, 0, sizeof co); for (i = 1; i <= m; i++) { scanf("%d%d", &x, &y); add(x, y); add(y, x); } for (i = 1; i <= n; i++) if (!pre[i]) dfs(i, 0); printf("%d\n", re[0]); sort(re + 1, re + re[0] + 1); for (i = 1; i <= re[0]; i++) printf("%d ", re[i] >> 1); }
#include <bits/stdc++.h> using namespace std; const int maxn = 100010; const int maxm = 200020; int head[maxn], cnt; void init(int n) { for (int i = 1; i <= n; i++) head[i] = -1; cnt = 0; } struct edge { int to, next; } E[maxm]; void add(int u, int v) { E[cnt].to = v; E[cnt].next = head[u]; head[u] = cnt++; } int dfn[maxn], low[maxn], s1[maxn], s2[maxn], ebl[maxm], bccnum[maxn], idx, tp1, tp2, block; vector<int> bcc[maxn], ebcc[maxn]; void tarjan(int u, int pre) { low[u] = dfn[u] = ++idx; s1[++tp1] = u; for (int i = head[u]; ~i; i = E[i].next) { int v = E[i].to; if (v == pre) continue; if (!dfn[v]) { s2[++tp2] = i >> 1; tarjan(v, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { block++; int vv; do { vv = s2[tp2--]; ebl[vv] = block; bccnum[block]++; ebcc[block].push_back(vv); } while (vv != (i >> 1)); do { vv = s1[tp1--]; bcc[block].push_back(vv); } while (vv != v); bcc[block].push_back(u); } } else if (dfn[v] < dfn[u]) { s2[++tp2] = i >> 1; low[u] = min(low[u], dfn[v]); } } } int ans[maxm]; int main() { int n, m; scanf("%d%d", &n, &m); init(n); for (int i = 1; i <= m; i++) { int u, v; scanf("%d%d", &u, &v); add(u, v); add(v, u); } for (int i = 1; i <= n; i++) { if (!dfn[i]) tarjan(i, -1); } int v1 = 0; for (int i = 1; i <= block; i++) { if (bccnum[i] == (int)bcc[i].size()) { for (int j : ebcc[i]) { ans[++v1] = j + 1; } } } sort(ans + 1, ans + v1 + 1); printf("%d\n", v1); for (int i = 1; i <= v1; i++) printf("%d%c", ans[i], i == v1 ? '\n' : ' '); return 0; }
#include <bits/stdc++.h> using namespace std; using namespace std::chrono; using pii = pair<int, int>; using pll = pair<long long, long long>; const int magic = 3; void solve(); void dump(const vector<int>& a) { for (int i = 0; i < a.size(); i++) { cerr << a[i] << ' '; } cerr << endl; } template <typename T, int N> void dump(const array<T, N>& a) { for (int i = 0; i < a.size(); i++) { cerr << a[i] << ' '; } cerr << endl; } int main(int argc, char** argv) { ios_base::sync_with_stdio(false); cin.tie(0); int t = 1; for (int tt = 1; tt <= t; tt++) { solve(); } return 0; } const int MX = 200500; vector<pii> e[MX]; bool visited[MX]; int depth[MX]; struct cycle { int root{-1}; vector<int> edges; bool is_simple{true}; }; int get_lc(int u, int v) { if (depth[u] < depth[v]) { return u; } return v; } void add_cycle(cycle& a, cycle& b) { if (b.root == -1) { return; } if (a.root == -1) { swap(a, b); return; } a.root = get_lc(a.root, b.root); a.is_simple = false; a.edges.clear(); } vector<int> ans; void add_ans(const vector<int>& sp) { for (auto w : sp) { ans.push_back(w); } } cycle dfs(int u, int pr, int edge_number) { visited[u] = true; depth[u] = depth[pr] + 1; cycle res; for (auto p : e[u]) { int v = p.first; if (v == pr) { continue; } if (visited[v]) { if (depth[v] > depth[u]) { continue; } cycle curr; curr.root = v; curr.edges.push_back(p.second); add_cycle(res, curr); continue; } auto r = dfs(v, u, p.second); add_cycle(res, r); } if (res.is_simple) { res.edges.push_back(edge_number); if (res.root == pr) { add_ans(res.edges); } } if (res.root == pr) { res = cycle(); } return res; } void solve() { int n, m; cin >> n >> m; for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; u--; v--; e[u].emplace_back(v, i); e[v].emplace_back(u, i); } for (int u = 0; u < n; u++) { if (!visited[u]) { dfs(u, u, -1); } } cout << ans.size() << "\n"; sort(ans.begin(), ans.end()); for (auto w : ans) { cout << w + 1 << ' '; } cout << "\n"; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5; struct Edge { int to, nxt; } e[N * 2]; int n, m, head[N], cntE = 1, dfn[N], low[N], ids; int stk[N * 3], tp, col[N], tot; set<int> ans, nd[N], eg[N]; inline void add(int u, int v) { e[++cntE] = (Edge){v, head[u]}, head[u] = cntE; } void Tarjan(int u, int f) { dfn[u] = low[u] = ++ids; for (int i = head[u], v; i; i = e[i].nxt) if (!dfn[v = e[i].to]) { stk[++tp] = i >> 1, stk[++tp] = u, stk[++tp] = v; Tarjan(v, i), low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { ++tot; for (;;) { int t1, t2; nd[tot].insert(t1 = stk[tp--]); nd[tot].insert(t2 = stk[tp--]); eg[tot].insert(stk[tp--]); if (t1 == v && t2 == u) break; } } } else if (dfn[v] < dfn[u] && (i ^ 1) != f) { stk[++tp] = i >> 1, stk[++tp] = u, stk[++tp] = v; low[u] = min(low[u], dfn[v]); } } int main() { scanf("%d%d", &n, &m); for (int i = 1, a, b; i <= m; ++i) scanf("%d%d", &a, &b), add(a, b), add(b, a); for (int i = 1; i <= n; ++i) Tarjan(i, 0); for (int i = 1; i <= tot; ++i) if (nd[i].size() == eg[i].size()) ans.insert(eg[i].begin(), eg[i].end()); printf("%d\n", ans.size()); for (int i : ans) printf("%d ", i); return 0; }
#include <bits/stdc++.h> #pragma GCC optimize("O3") #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") using namespace std; template <class T> inline bool setmin(T &a, T b) { if (a > b) return a = b, 1; return 0; } template <class T> inline bool setmax(T &a, T b) { if (a < b) return a = b, 1; return 0; } template <class T> inline T fast(T a, T b, T mod) { long long res = 1; while (b) { if (b & 1) res = (res * a) % mod; a = (a * a) % mod; b >>= 1; } return res; } template <class T> istream &operator>>(istream &os, vector<T> &container) { for (auto &u : container) os >> u; return os; } template <class T> ostream &operator<<(ostream &os, const vector<T> &container) { for (auto &u : container) os << u << " "; return os; } template <class T> inline T gcd(T a, T b) { while (b) swap(a %= b, b); return abs(a); } const long long INF = 1e9 + 7; const long long mod = 998244353; const long long BIG_INF = 1e18 + 7; const long long N = 1e6 + 7; const long long T = 1 << 20; const long double inf = 1e18; long long m, n, k, q; long long roz[N]; long long rep[N]; long long odw[N]; long long preorder[N]; vector<vector<pair<long long, long long> > > G(N); long long cnt; vector<long long> ans; long long Find(long long x) { return (x == rep[x] ? x : rep[x] = Find(rep[x])); } void Union(long long a, long long b) { assert(a and b); a = Find(a); b = Find(b); if (a == b) return; roz[b] += roz[a]; rep[a] = b; } pair<long long, long long> lepszy(pair<long long, long long> a, pair<long long, long long> b) { return (a.first < b.first ? a : b); } void polacz(pair<long long, long long> &najw, pair<long long, long long> temp, long long v) { if (temp.first == preorder[v] or temp.first == INF) return; if (najw.first == INF) { najw = temp; return; } Union(najw.second, temp.second); najw = lepszy(najw, temp); } pair<long long, long long> dfs(long long x, long long przodek = -1) { odw[x] = 1; preorder[x] = cnt++; pair<long long, long long> najwyzszy = {INF, 0}; vector<pair<long long, long long> > nad; for (auto &u : G[x]) if (odw[u.first] and u.first != przodek) nad.push_back({preorder[u.first], u.second}); for (auto &u : G[x]) if (!odw[u.first]) polacz(najwyzszy, dfs(u.first, x), x); for (auto &u : nad) polacz(najwyzszy, u, x); return najwyzszy; } pair<long long, long long> dfs2(long long x, long long przodek = -1, long long nr = -1) { odw[x] = 1; pair<long long, long long> najwyzszy = {INF, 0}; vector<pair<long long, long long> > nad; for (auto &u : G[x]) if (odw[u.first] and u.first != przodek) nad.push_back({preorder[u.first], u.second}); for (auto &u : G[x]) if (!odw[u.first]) polacz(najwyzszy, dfs2(u.first, x, u.second), x); for (auto &u : nad) polacz(najwyzszy, u, x); if (nr != -1 and najwyzszy.first != INF and roz[Find(najwyzszy.second)] == 1) { ans.push_back(nr); ans.push_back(najwyzszy.second); } return najwyzszy; } signed main() { ios::sync_with_stdio(0); cin.tie(0); cin >> n >> m; for (long long i = 0; i < (m + 2); i++) { rep[i] = i; roz[i] = 1; } for (long long i = 0; i < (m); i++) { long long a, b; cin >> a >> b; G[a].push_back({b, i + 1}); G[b].push_back({a, i + 1}); } for (long long i = 1; i <= n; i++) if (!odw[i]) dfs(i); fill(odw, odw + N, 0); for (long long i = 1; i <= n; i++) if (!odw[i]) dfs2(i); sort((ans).begin(), (ans).end()); ans.resize(unique((ans).begin(), (ans).end()) - ans.begin()); cout << (long long)(ans).size() << '\n' << ans << '\n'; }
#include <bits/stdc++.h> using namespace std; int n, m; int tin[100001], low[100001], he[100001], v[200002], ne[200002]; int st[300003], blo[200002], tot, num, top, tt; vector<int> ans, edge[100001], node[100001]; void add(int x, int y) { v[++tot] = y, ne[tot] = he[x], he[x] = tot; } void tarjan(int x, int f) { tin[x] = low[x] = ++num; for (int i = he[x]; i; i = ne[i]) { int y = v[i]; if (!tin[y]) { st[++top] = i >> 1, st[++top] = x, st[++top] = y; tarjan(y, x); low[x] = min(low[x], low[y]); if (low[y] >= tin[x]) { tt++; while (1) { int t1 = st[top--], t2 = st[top--]; if (blo[t1] != tt) { node[tt].push_back(t1); blo[t1] = tt; } if (blo[t2] != tt) { node[tt].push_back(t2); blo[t2] = tt; } edge[tt].push_back(st[top--]); if (t1 == y && t2 == x) break; } } } else if (tin[y] < tin[x] && y != f) { st[++top] = i >> 1, st[++top] = x, st[++top] = y; low[x] = min(low[x], tin[y]); } } } int main() { memset(tin, 0, sizeof(tin)), memset(low, 0, sizeof(low)), memset(he, 0, sizeof(he)), memset(ne, 0, sizeof(ne)), memset(v, 0, sizeof(v)), memset(st, 0, sizeof(st)), memset(blo, 0, sizeof(blo)); scanf("%d%d", &n, &m); tot = 1; num = top = tt = 0; for (int i = 0; i < m; i++) { int x, y; scanf("%d%d", &x, &y); if (x == y) continue; add(x, y), add(y, x); } for (int i = 1; i <= n; i++) if (!tin[i]) tarjan(i, 0); for (int i = 1; i <= tt; i++) { if (edge[i].size() == node[i].size()) { for (int j = 0; j < edge[i].size(); j++) ans.push_back(edge[i][j]); } } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) { if (i == 0) printf("%d", ans[i]); else printf(" %d", ans[i]); } return 0; }
#include <bits/stdc++.h> const int MAXN = 3e5 + 10; const double eps = 1e-8; const int mod = 1e9 + 9; using namespace std; struct edge { int t, v; edge *next; } e[MAXN << 1], *h[MAXN], *o = e; void add(int x, int y, int vul) { o->t = y; o->v = vul; o->next = h[x]; h[x] = o++; } long long read() { long long x = 0, f = 1; char ch = getchar(); while (!isdigit(ch)) { if (ch == '-') f = -1; ch = getchar(); } while (isdigit(ch)) x = x * 10 + ch - '0', ch = getchar(); return x * f; } bool vis[MAXN], Cnode[MAXN]; int dfn[MAXN], low[MAXN], cnt; void tarjan_node(int x, int pre) { vis[x] = 1; dfn[x] = low[x] = ++cnt; for (edge *j = h[x]; j; j = j->next) { if (vis[j->t] && dfn[j->t] < dfn[x] && j->t != pre) { low[x] = min(low[x], dfn[j->t]); } else if (!vis[j->t]) { tarjan_node(j->t, x); if (low[j->t] >= dfn[x]) Cnode[x] = 1; low[x] = min(low[x], low[j->t]); } } } int num; typedef struct node { int x, y; } node; node d[MAXN]; vector<int> p[MAXN]; int st[MAXN], tot, bcc_pos[MAXN]; int ans[MAXN]; bool pis[MAXN]; void tarjan_Bcc(int x, int pre) { vis[x] = 1; dfn[x] = low[x] = ++cnt; int ch = 0; for (edge *j = h[x]; j; j = j->next) { if (vis[j->t] && dfn[j->t] < dfn[x] && j->t != pre) { st[++tot] = j->v; pis[j->v] = 1; low[x] = min(low[x], dfn[j->t]); } else if (!vis[j->t]) { ch++; st[++tot] = j->v; tarjan_Bcc(j->t, x); low[x] = min(low[x], low[j->t]); if (low[j->t] >= dfn[x]) { Cnode[x] = 1; num++; p[num].clear(); while (1) { int y = st[tot--]; if (pis[y]) ans[num]++; p[num].push_back(y); if (bcc_pos[d[y].x] != num) { bcc_pos[d[y].x] = num; } if (bcc_pos[d[y].y] != num) { bcc_pos[d[y].y] = num; } if (y == j->v) break; } } } } if (!pre && ch <= 1) Cnode[x] = 0; } vector<int> vec; int n, m; int main() { n = read(); m = read(); int x, y; for (int i = 1; i <= m; i++) d[i].x = read(), d[i].y = read(), add(d[i].x, d[i].y, i), add(d[i].y, d[i].x, i); for (int i = 1; i <= n; i++) if (!vis[i]) tarjan_Bcc(i, 0); for (int i = 1; i <= num; i++) { if (ans[i] != 1) continue; for (int j = 0; j < p[i].size(); j++) vec.push_back(p[i][j]); } sort(vec.begin(), vec.end()); int sz = unique(vec.begin(), vec.end()) - vec.begin(); printf("%d\n", sz); for (int i = 0; i < sz; i++) printf("%d ", vec[i]); printf("\n"); }
#include <bits/stdc++.h> using namespace std; struct Edge { int v, id; }; set<int> Ans; vector<Edge> G[100000 + 5]; int cnt; stack<int> Node; bool vis[100000 + 5]; int dfn[100000 + 5], Low[100000 + 5]; void Tarjan(int u, int fa) { Node.push(u); dfn[u] = Low[u] = ++cnt; for (auto e : G[u]) { int v = e.v; if (!dfn[v]) { Tarjan(v, u); Low[u] = min(Low[u], Low[v]); if (Low[v] >= dfn[u]) { set<int> E; vector<int> tmp; do { vis[Node.top()] = 1; tmp.push_back(Node.top()); Node.pop(); } while (!vis[v]); tmp.push_back(u); for (int u : tmp) for (auto e : G[u]) if (vis[e.v]) E.insert(e.id); if (E.size() == tmp.size()) Ans.insert(E.begin(), E.end()); for (int i : tmp) vis[i] = 0; } } else if (v != fa) Low[u] = min(Low[u], dfn[v]); } } 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, i}); G[v].push_back({u, i}); } for (int i = 1; i <= N; i++) if (!dfn[i]) Tarjan(i, -1); printf("%d\n", Ans.size()); for (auto i : Ans) printf("%d ", i); }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5; struct edge { int u, v, id; } stk[N + N]; vector<edge> adj[N]; int n, m, ptr, ui[N], vi[N]; int dfn[N], low[N], used[N], dft; set<int> ans, in, eg; void dfs(int u, int p) { dfn[u] = low[u] = ++dft; for (auto e : adj[u]) if (!dfn[e.v]) { stk[++ptr] = e; dfs(e.v, u); low[u] = min(low[u], low[e.v]); } else { if (!used[e.id]) { stk[++ptr] = e; low[u] = min(low[u], dfn[e.v]); } } if (low[u] == dfn[p]) { in.clear(); eg.clear(); while (true) { eg.insert(stk[ptr].id); if (stk[ptr--].u == p) break; } } for (auto v : eg) { in.insert(ui[v]); in.insert(vi[v]); used[v] = 1; } if (in.size() == eg.size()) { for (auto o : eg) ans.insert(o); } } int main() { cin >> n >> m; int u, v; for (int i = 1; i <= m; i++) { cin >> u >> v; tie(ui[i], vi[i]) = tie(u, v); adj[u].push_back((edge){u, v, i}); adj[v].push_back((edge){v, u, i}); } for (int i = 1; i <= n; i++) if (!dfn[i]) dfs(i, 0); cout << ans.size() << '\n'; for (auto v : ans) cout << v << ' '; }
#include <bits/stdc++.h> using namespace std; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); const long long maxn = 3e6; const long long mod = 1e9 + 7; const long double PI = acos((long double)-1); long long pw(long long a, long long b, long long md = mod) { long long res = 1; while (b) { if (b & 1) { res = (a * res) % md; } a = (a * a) % md; b >>= 1; } return (res); } int n, m; vector<pair<pair<int, int>, int> > e; vector<int> adj[maxn], ans; int mark[maxn]; int h[maxn], par[maxn]; int a[maxn], prt[maxn]; int sum[maxn]; vector<int> ord; void dfs(int v) { ord.push_back(v), mark[v] = 1; for (auto u : adj[v]) if (!mark[u]) par[u] = v, h[u] = h[v] + 1, dfs(u); } void calc(int v) { mark[v] = 2; prt[v] = a[v]; for (auto u : adj[v]) if (mark[u] != 2) calc(u), prt[v] += prt[u]; } void hentai(int v) { mark[v] = 3; for (auto u : adj[v]) if (mark[u] != 3) sum[u] = prt[u] + sum[v], hentai(u); } bool can[maxn]; int ed(int u, int v) { if (u > v) swap(u, v); if (u == 0) return (0); return ((*lower_bound(e.begin(), e.end(), pair<pair<int, int>, int>(pair<int, int>(u, v), 0))) .second); } void solve(int v) { ord.clear(); dfs(v); for (auto v : ord) { for (auto u : adj[v]) { if (h[u] < h[v] and u != par[v]) a[v]++, a[u]--; } } calc(v); hentai(v); for (auto v : ord) { for (auto u : adj[v]) { if (h[u] < h[v] and u != par[v]) { if (sum[v] - sum[u] > h[v] - h[u]) a[v] -= 1e6, a[u] += 1e6, can[ed(u, v)] = 0; } } } calc(v); for (auto v : ord) if (prt[v] != 1) can[ed(v, par[v])] = 0; } int32_t main() { ios::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v; cin >> u >> v; if (u > v) swap(u, v); adj[u].push_back(v); adj[v].push_back(u); e.push_back({{u, v}, i}); } for (int i = 1; i <= m; i++) can[i] = 1; sort(e.begin(), e.end()); for (int i = 1; i <= n; i++) if (!mark[i]) solve(i); for (int i = 1; i <= m; i++) if (can[i]) ans.push_back(i); cout << ans.size() << '\n'; for (int i : ans) cout << i << ' '; return (0); }
#include <bits/stdc++.h> using namespace std; const int maxx = 1e5 + 7; int n, m; int par[maxx], par_E[maxx], h[maxx], cnt[maxx]; bool mark[maxx]; vector<int> ans, Back_Edge, yal[maxx]; pair<int, int> Edge[maxx]; void DFS(int v) { mark[v] = true; for (auto e : yal[v]) { int u; int a = Edge[e].first; int b = Edge[e].second; if (a == v) u = b; else u = a; if (!mark[u]) { par[u] = v; par_E[u] = e; h[u] = h[v] + 1; DFS(u); } else { if (h[u] < h[v] && h[v] - h[u] != 1) { Back_Edge.push_back(e); cnt[v]++; cnt[u]--; } } } } void dfs(int v) { mark[v] = true; for (auto e : yal[v]) { int u; int a = Edge[e].first; int b = Edge[e].second; if (v == a) u = b; else u = a; if (!mark[u]) dfs(u), cnt[v] += cnt[u]; } } void DFS_ALL(int t) { for (int i = 0; i < n; i++) { if (!mark[i] && t == 0) DFS(i); else if (!mark[i] && t == 1) dfs(i); } } int main() { ios::sync_with_stdio(false); cin >> n >> m; for (int i = 0; i < m; i++) { int u, v; cin >> u >> v; u--; v--; yal[u].push_back(i); yal[v].push_back(i); Edge[i] = {u, v}; } DFS_ALL(0); memset(mark, 0, sizeof mark); DFS_ALL(1); for (int i = 0; i < n; i++) if (cnt[i] != 1) cnt[i] = -1; for (auto i : Back_Edge) { int v = Edge[i].first; int u = Edge[i].second; if (h[u] < h[v]) swap(u, v); bool valid = true; while (u != v) { if (cnt[u] != 1) { valid = false; break; } u = par[u]; } if (valid) { int v = Edge[i].first; int u = Edge[i].second; if (h[u] < h[v]) swap(u, v); ans.push_back(i); while (u != v) ans.push_back(par_E[u]), u = par[u]; } } cout << (int)ans.size() << "\n"; sort(ans.begin(), ans.end()); for (auto i : ans) cout << i + 1 << " "; cout << "\n"; }
#include <bits/stdc++.h> using namespace std; int a, b, c, d, e, i, j, zx, xc, lf[100009], rg[100009], tim, lc[100009][19], lcmax[100009][19], cnt, pas[100009], k[100009], ans[100009], p[100009], pi, jm[100009]; pair<int, int> ed[100009]; vector<int> v[100009], msh[100009], shv[100009]; vector<pair<int, int> > vv; set<pair<int, int> > s; set<pair<int, int> >::iterator t; map<pair<int, int>, bool> m; int bo[100009]; void dfs(int q, int w) { tim++; lc[q][0] = w; for (int hh = 1; hh <= 17; hh++) lc[q][hh] = lc[lc[q][hh - 1]][hh - 1]; lf[q] = rg[q] = tim; k[lf[q]] = q; bo[q] = cnt; for (vector<int>::iterator it = v[q].begin(); it != v[q].end(); it++) { if ((*it) == w) continue; if (bo[(*it)] == cnt) { if (lf[(*it)] < lf[q]) { msh[q].push_back((*it)); shv[(*it)].push_back(q); vv.push_back(make_pair((*it), q)); } continue; } dfs((*it), q); if (rg[q] < rg[(*it)]) rg[q] = rg[(*it)]; } } bool anc(int q, int w) { if (lf[q] <= lf[w] && rg[q] >= rg[w]) return 1; else return 0; } void dfs2(int q, int w) { bo[q] = cnt; t = s.lower_bound(make_pair(lf[q], 0)); if (t == s.end()) { ans[q] = 0; } else { if ((*t).first <= rg[q]) { ans[q] = m[make_pair(k[(*t).second], k[(*t).first])]; } else { ans[q] = 0; } } for (vector<int>::iterator it = shv[q].begin(); it != shv[q].end(); it++) { s.insert(make_pair(lf[(*it)], lf[q])); } for (vector<int>::iterator it = v[q].begin(); it != v[q].end(); it++) { if (bo[(*it)] == cnt) continue; dfs2((*it), q); } for (vector<int>::iterator it = shv[q].begin(); it != shv[q].end(); it++) { s.erase(s.lower_bound(make_pair(lf[(*it)], lf[q]))); } } void dfs3(int q, int w) { bo[q] = cnt; for (vector<int>::iterator it = v[q].begin(); it != v[q].end(); it++) { if (bo[(*it)] == cnt) continue; dfs3((*it), q); jm[q] += jm[(*it)]; } } void dfs4(int q, int w) { bo[q] = cnt; lcmax[q][0] = jm[q]; for (int hh = 1; hh <= 17; hh++) lcmax[q][hh] = max(lcmax[q][hh - 1], lcmax[lc[q][hh - 1]][hh - 1]); for (vector<int>::iterator it = v[q].begin(); it != v[q].end(); it++) { if (bo[(*it)] == cnt) continue; dfs4((*it), q); } } int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); cin >> a >> b; for (i = 1; i <= b; i++) { cin >> c >> d; ed[i].first = c; ed[i].second = d; v[c].push_back(d); v[d].push_back(c); } cnt++; for (i = 1; i <= a; i++) { if (bo[i] == cnt) continue; dfs(i, 0); } for (i = 0; i < vv.size(); i++) { c = vv[i].first; d = vv[i].second; jm[c]--; jm[d]++; } cnt++; for (i = 1; i <= a; i++) { if (bo[i] == cnt) continue; dfs3(i, 0); } cnt++; for (i = 1; i <= a; i++) { if (bo[i] == cnt) continue; dfs4(i, 0); } for (i = 0; i < vv.size(); i++) { c = vv[i].first; d = vv[i].second; e = 0; for (int hh = 17; hh >= 0; hh--) { if (lc[d][hh] != 0 && anc(lc[d][hh], c) == 0) { if (e < lcmax[d][hh]) e = lcmax[d][hh]; d = lc[d][hh]; } } if (e < lcmax[d][0]) e = lcmax[d][0]; if (e <= 1) { m[vv[i]] = 1; } } cnt++; for (i = 1; i <= a; i++) { if (bo[i] == cnt) continue; dfs2(i, 0); } for (i = 1; i <= b; i++) { c = ed[i].first; d = ed[i].second; if (lf[c] > lf[d]) swap(c, d); if (ans[d] == 1) { pi++; p[pi] = i; } } cout << pi << endl; for (i = 1; i <= pi; i++) { cout << p[i] << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 5; const int mod = 1e9 + 7; vector<int> g_bcc[maxn], f, ans; vector<pair<int, int> > g[maxn]; pair<int, int> edge[maxn]; int pre[maxn], low[maxn], bcc[maxn]; int dfs_t, bcc_cnt; stack<int> ST; void dfs(int u, int fa) { pre[u] = low[u] = ++dfs_t; for (auto vx : g[u]) { int v = vx.first; if (!pre[v]) { ST.push(vx.second); dfs(v, u); low[u] = min(low[u], low[v]); if (low[v] >= pre[u]) { g_bcc[++bcc_cnt].clear(); f.clear(); while (!ST.empty()) { int e = ST.top(); f.push_back(e); ST.pop(); if (bcc[edge[e].first] != bcc_cnt) { g_bcc[bcc_cnt].push_back(edge[e].first); bcc[edge[e].first] = bcc_cnt; } if (bcc[edge[e].second] != bcc_cnt) { g_bcc[bcc_cnt].push_back(edge[e].second); bcc[edge[e].second] = bcc_cnt; } if (e == vx.second) break; } if (f.size() == g_bcc[bcc_cnt].size()) { for (auto x : f) ans.push_back(x); } } } else if (pre[v] < pre[u] && v != fa) { ST.push(vx.second); low[u] = min(low[u], pre[v]); } } } int main() { int n, m, i, u, v; scanf("%d%d", &n, &m); for (i = 1; i <= m; i++) { scanf("%d%d", &u, &v); g[u].push_back(pair<int, int>(v, i)); g[v].push_back(pair<int, int>(u, i)); edge[i] = pair<int, int>(u, v); } for (i = 1; i <= n; i++) { if (!pre[i]) dfs(i, 0); } sort(ans.begin(), ans.end()); printf("%d\n", (int)ans.size()); for (auto x : ans) printf("%d ", x); puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 10; int n, m, tot, top, h[maxn], tin[maxn], low[maxn], st[maxn * 3], now = 0, cnt = 1; struct edges { int nxt, to; } e[maxn << 1]; set<int> ans, edge[maxn], node[maxn]; void addline(int u, int v) { e[++cnt] = edges{h[u], v}, h[u] = cnt; } void tarjan(int u, int f) { tin[u] = low[u] = ++now; for (int i = h[u]; i; i = e[i].nxt) { int v = e[i].to; if (!tin[v]) { st[++top] = i >> 1, st[++top] = u, st[++top] = v; tarjan(v, u); low[u] = min(low[u], low[v]); if (tin[u] <= low[v]) { tot++; while (1) { int t1, t2; node[tot].insert(t1 = st[top--]); node[tot].insert(t2 = st[top--]); edge[tot].insert(st[top--]); if (t1 == v && t2 == u) break; } } } else if (tin[v] < tin[u] && v != f) { st[++top] = i >> 1, st[++top] = u, st[++top] = v; low[u] = min(low[u], tin[v]); } } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int u, v; scanf("%d%d", &u, &v); addline(u, v), addline(v, u); } for (int i = 1; i <= n; i++) { if (!tin[i]) tarjan(i, 0); } for (int i = 1; i <= tot; i++) { if (edge[i].size() == node[i].size()) { ans.insert(edge[i].begin(), edge[i].end()); } } printf("%d\n", (int)ans.size()); for (int u : ans) printf("%d ", u); return 0; }
#include <bits/stdc++.h> using namespace std; mt19937 gen(880907); template <typename T1, typename T2> ostream& operator<<(ostream& out, const pair<T1, T2>& p) { out << p.first << " " << p.second; return out; } struct BccVertex { int n, nScc, step, dfn[200005], low[200005]; vector<int> E[200005], sccv[200005]; int top, stk[200005]; void init(int _n) { n = _n; nScc = step = 0; for (int i = 0; i < n; i++) E[i].clear(); } void addEdge(int u, int v) { E[u].push_back(v); E[v].push_back(u); } void DFS(int u, int f) { dfn[u] = low[u] = step++; stk[top++] = u; for (auto v : E[u]) { if (v == f) continue; if (dfn[v] == -1) { DFS(v, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { int z; sccv[nScc].clear(); do { z = stk[--top]; sccv[nScc].push_back(z); } while (z != v); sccv[nScc++].push_back(u); } } else low[u] = min(low[u], dfn[v]); } } vector<vector<int>> solve() { vector<vector<int>> res; for (int i = 0; i < n; i++) dfn[i] = low[i] = -1; for (int i = 0; i < n; i++) if (dfn[i] == -1) { top = 0; DFS(i, i); } for (int i = 0; i < nScc; i++) res.push_back(sccv[i]); return res; } } graph; int n, m; vector<set<int>> bln; vector<vector<int>> bcc, cans; vector<pair<int, int>> edge; int main() { ios::sync_with_stdio(0); cin.tie(0); cin >> n >> m; bln.resize(n); edge.resize(m); graph.init(n); for (int i = 0, a, b; i < m; i++) { cin >> a >> b; --a, --b; edge[i] = {a, b}; graph.addEdge(a, b); } bcc = graph.solve(); for (int i = 0; i < bcc.size(); i++) { for (auto j : bcc[i]) { bln[j].insert(i); } } vector<int> num(bcc.size()); cans.resize(bcc.size()); for (int i = 0; i < m; i++) { if (bln[edge[i].first].size() > bln[edge[i].second].size()) swap(edge[i].first, edge[i].second); for (auto j : bln[edge[i].first]) { if (bln[edge[i].second].count(j)) { num[j]++; cans[j].push_back(i + 1); break; } } } vector<int> single, ans; for (int i = 0; i < bcc.size(); i++) { if (bcc[i].size() == num[i]) { for (auto j : cans[i]) ans.push_back(j); } } sort(ans.begin(), ans.end()); cout << ans.size() << '\n'; for (auto i : ans) cout << i << " "; cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100005; vector<int> G[MAXN]; vector<int> grafo[MAXN]; struct edge { int u, v, comp; bool bridge; }; vector<edge> e; void addEdge(int u, int v) { G[u].push_back(e.size()), G[v].push_back(e.size()); e.push_back((edge){u, v, -1, false}); } int V[MAXN], L[MAXN], P[MAXN], comp[MAXN]; int qV, nbc; void initDfs(int n) { for (int i = (0); i < (MAXN); i++) G[i].clear(); memset(G, 0, sizeof(G)), memset(V, 0, sizeof(V)), memset(L, 0, sizeof(L)), memset(comp, 0, sizeof(comp)), memset(P, 0, sizeof(P)); e.clear(); for (int i = (0); i < (n); i++) V[i] = -1; nbc = qV = 0; } stack<int> st; void dfs(int u, int pe) { L[u] = V[u] = qV++; comp[u] = (pe != -1); for (auto &ne : G[u]) if (ne != pe) { int v = e[ne].u ^ e[ne].v ^ u; if (V[v] == -1) { st.push(ne); dfs(v, ne); if (L[v] > V[u]) { e[ne].bridge = true; } P[u] += (L[v] >= V[u]); if (L[v] >= V[u]) { int last; do { last = st.top(); st.pop(); e[last].comp = nbc; } while (last != ne); nbc++; comp[u]++; } L[u] = min(L[u], L[v]); } else if (V[v] < V[u]) { st.push(ne); L[u] = min(L[u], V[v]); } } } set<int> C[2 * MAXN]; int compnodo[MAXN]; int ptoart; void blockcuttree() { memset(compnodo, 0, sizeof(compnodo)); ptoart = 0; for (int i = (0); i < (2 * MAXN); i++) C[i].clear(); for (auto &it : e) { vector<int> nodos = {it.u, it.v}; for (int u : nodos) { if (comp[u] == 1) compnodo[u] = it.comp; else { if (compnodo[u] == 0) { compnodo[u] = nbc + ptoart; ptoart++; } C[it.comp].insert(compnodo[u]); C[compnodo[u]].insert(it.comp); } } } } map<pair<int, int>, int> id_eje; map<pair<int, int>, int> eje_componente; bool visitado[MAXN]; int main() { ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); int n, m; cin >> n >> m; initDfs(n + 1); for (int i = (0); i < (m); i++) { long long a, b; cin >> a >> b; a--; b--; id_eje[{a, b}] = i + 1; id_eje[{b, a}] = i + 1; grafo[a].push_back(b); grafo[b].push_back(a); addEdge(a, b); } for (int i = (0); i < (n); i++) { if (V[i] == -1) { dfs(i, -1); } } vector<edge> ejesPorComponente[nbc]; for (auto &eje : e) { eje_componente[{eje.u, eje.v}] = eje.comp; eje_componente[{eje.v, eje.u}] = eje.comp; ejesPorComponente[eje.comp].push_back(eje); } vector<int> res; for (int i = (0); i < (nbc); i++) { if ((int)(ejesPorComponente[i]).size() <= 2) continue; bool simple = true; map<int, int> apariciones_por_nodo; for (auto &eje : ejesPorComponente[i]) { apariciones_por_nodo[eje.u]++; apariciones_por_nodo[eje.v]++; if (apariciones_por_nodo[eje.u] > 2 || apariciones_por_nodo[eje.v] > 2) { simple = false; break; } } if (simple) { for (auto &eje : ejesPorComponente[i]) { res.push_back(id_eje[{eje.u, eje.v}]); } } } sort(res.begin(), res.end()); cout << (int)(res).size() << "\n"; for (auto it = res.begin(); it != res.end(); it++) { cout << *it << " "; } cout << "\n"; }
#include <bits/stdc++.h> using namespace std; struct edge { int u, v, second; edge() {} edge(int a, int b, int c) { u = a; v = b; second = c; } }; vector<edge> adj[100005]; int N, M; int low[100005], disc[100005], art[100005], par[100005]; int times = 1; bitset<100005> vis; stack<edge> st; vector<int> ans; set<int> V, E; void DFS(int u, int p) { low[u] = disc[u] = times++; for (edge e : adj[u]) { int v = e.u; if (!disc[v]) { st.push(e); DFS(v, u); low[u] = min(low[u], low[v]); } else if (!vis[e.second]) { st.push(e); low[u] = min(low[u], disc[v]); } } if (low[u] == disc[p]) { V.clear(); E.clear(); while (1) { edge now = st.top(); st.pop(); V.insert(now.u); V.insert(now.v); E.insert(now.second); vis[now.second] = 1; if (now.v == p) break; } if (E.size() == V.size()) { for (auto i : E) { ans.push_back(i); } } } } int main() { scanf("%d %d", &N, &M); int u, v; for (int i = 1; i <= M; i++) { scanf("%d %d", &u, &v); adj[u].push_back(edge(v, u, i)); adj[v].push_back(edge(u, v, i)); } for (int i = 1; i <= N; i++) { if (!disc[i]) { DFS(i, 0); } } printf("%d\n", ans.size()); if (!ans.size()) { return 0; } sort(ans.begin(), ans.end()); for (int i : ans) { cout << i << " "; } }
#include <bits/stdc++.h> using namespace std; const int maxn = 200000 + 5, maxm = 200000 + 5; int n, m; struct Edge { int u, v, idx, nxt; Edge(int u = 0, int v = 0) : u(u), v(v) {} bool operator==(const Edge& rhs) const { return u == rhs.u && v == rhs.v; } } edge[maxm]; int head[maxn], top; int stamp, dfn[maxn], low[maxn], belong[maxn], bccno, bccsz[maxn]; bool iscut[maxn], vis[maxm]; stack<Edge> st; vector<int> bcc[maxn]; void init() { memset(head, -1, sizeof(head)); memset(dfn, 0, sizeof(dfn)); memset(low, 0, sizeof(low)); memset(iscut, 0, sizeof(iscut)); memset(belong, 0, sizeof(belong)); memset(bccsz, 0, sizeof(bccsz)); memset(vis, 0, sizeof(vis)); top = 0; stamp = 0; bccno = 0; while (!st.empty()) st.pop(); } void addedge(int u, int v, int idx) { edge[top].u = u; edge[top].v = v; edge[top].idx = idx; edge[top].nxt = head[u]; head[u] = top++; edge[top].u = v; edge[top].v = u; edge[top].idx = idx; edge[top].nxt = head[v]; head[v] = top++; } void tarjan(int u, int fa) { dfn[u] = low[u] = ++stamp; int child = 0; for (int i = head[u]; i != -1; i = edge[i].nxt) { int v = edge[i].v, cidx = edge[i].idx; if (v == fa || vis[i]) continue; vis[i] = vis[i ^ 1] = 1; st.push(edge[i]); if (!dfn[v]) { child++; tarjan(v, u); if (low[v] < low[u]) low[u] = low[v]; if (low[v] >= dfn[u]) { iscut[u] = 1; bcc[++bccno].clear(); do { int uu = st.top().u, vv = st.top().v, idx = st.top().idx; if (belong[uu] != bccno) belong[uu] = bccno, bccsz[bccno]++; if (belong[vv] != bccno) belong[vv] = bccno, bccsz[bccno]++; bcc[bccno].push_back(idx); if (idx == cidx) { st.pop(); break; } st.pop(); } while (!st.empty()); } } else { if (dfn[v] < low[u]) low[u] = dfn[v]; } } if (u == fa && child <= 1) iscut[u] = 0; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); init(); cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v; cin >> u >> v; addedge(u, v, i); } for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, i); vector<int> ans; for (int i = 1; i <= bccno; i++) { if (bcc[i].size() == bccsz[i]) { ans.insert(ans.end(), bcc[i].begin(), bcc[i].end()); } } sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (int i = 0; i < ans.size(); i++) { cout << ans[i] << ' '; } cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100010, M = 200010; int h[N], e[M], ne[M], idx; int dfn[N], low[N], bj[N], stk[M], belong[M], isCut[N], num[N], mark[M]; int bccnum, tt = -1, indx, enums; int n, m, x, y; pair<int, int> edges[M]; vector<int> v[N], ans; void add(int a, int b) { e[idx] = b, ne[idx] = h[a], h[a] = idx++; } void tarjan(int u, int father) { dfn[u] = low[u] = ++indx; int child = 0; for (int i = h[u]; ~i; i = ne[i]) { int v = e[i]; if (mark[i]) continue; mark[i] = mark[i ^ 1] = 1; stk[++tt] = i; if (!dfn[v]) { child++; tarjan(v, u); low[u] = min(low[u], low[v]); if (dfn[u] <= low[v]) { isCut[u] = 1; bccnum++; for (;;) { int j = stk[tt--]; if (bj[e[j]] != bccnum) { bj[e[j]] = bccnum; num[bccnum]++; edges[++enums] = {e[j], bccnum}; } if (bj[e[j ^ 1]] != bccnum) { bj[e[j ^ 1]] = bccnum; num[bccnum]++; edges[++enums] = {e[j ^ 1], bccnum}; } belong[(j >> 1) + 1] = bccnum; if (i == j) break; } } } else low[u] = min(low[u], dfn[v]); } if (u == father && child < 2) isCut[u] = 0; } int main() { memset(h, -1, sizeof h); scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d%d", &x, &y); add(x, y); add(y, x); } for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, i); for (int i = 1; i <= m; i++) v[belong[i]].push_back(i); for (int i = 1; i <= bccnum; i++) if (v[i].size() == num[i]) for (auto x : v[i]) ans.push_back(x); sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (auto x : ans) cout << x << " "; return 0; }
#include <bits/stdc++.h> using namespace std; const int Maxn = 102000; int n, m; struct Edge { int from, to; } E[Maxn]; vector<pair<int, int> > G[Maxn]; int dfn[Maxn], f[Maxn], dd[Maxn], cl, pt[Maxn]; int chs[Maxn], lnk[Maxn]; vector<int> ans; vector<int> t[Maxn]; void tarjan(int now, int fa) { dfn[now] = ++cl; pt[now] = fa; for (int i = 0; i < G[now].size(); i++) { pair<int, int> pr = G[now][i]; if (pr.first == fa) continue; if (!dfn[pr.first]) { t[now].push_back(pr.first); chs[pr.second] = 1; lnk[pr.first] = pr.second; tarjan(pr.first, now); } else { if (dfn[pr.first] > dfn[now]) continue; f[now]++; f[pr.first]--; } } } int im[Maxn]; void dfs2(int now) { for (int i = 0; i < t[now].size(); i++) { dfs2(t[now][i]); dd[now] += dd[t[now][i]]; } dd[now] += f[now]; } void dfs3(int now) { im[now] = im[pt[now]] + (dd[now] > 1); for (int i = 0; i < t[now].size(); i++) { dfs3(t[now][i]); } } void solve(int now) { if (dfn[E[now].from] < dfn[E[now].to]) swap(E[now].from, E[now].to); int kk = im[E[now].from] - im[E[now].to]; if (kk == 0) { int pla = E[now].from; while (pla != E[now].to) { ans.push_back(lnk[pla]); pla = pt[pla]; } ans.push_back(now); } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d%d", &E[i].from, &E[i].to); G[E[i].from].push_back(make_pair(E[i].to, i)); G[E[i].to].push_back(make_pair(E[i].from, i)); } for (int i = 1; i <= n; i++) { if (!dfn[i]) { tarjan(i, 0); dfs2(i); dfs3(i); } } for (int i = 1; i <= m; i++) { if (!chs[i]) { solve(i); } } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) { printf("%d ", ans[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int NN = 1e5 + 10; int head[NN], to[NN << 1], nxt[NN << 1]; int E = 0, ind, cnt, top; int low[NN], vst[NN], st[NN << 1]; vector<int> con[NN], ans; int pv[NN << 1], id[NN << 1]; int add(int u, int v, int w) { nxt[E] = head[u]; pv[E] = u; to[E] = v; id[E] = w; head[u] = E++; nxt[E] = head[v]; pv[E] = v; to[E] = u; id[E] = w; head[v] = E++; } void dfs(int u, int pa = 0) { vst[u] = low[u] = ++ind; for (int e = head[u]; ~e; e = nxt[e]) { int v = to[e]; if (vst[v] < vst[u]) st[top++] = e; if (!vst[v]) { dfs(v, u), low[u] = min(low[u], low[v]); if (low[v] >= vst[u]) { con[++cnt].clear(); do --top, con[cnt].push_back(st[top] & 1 ? st[top] ^ 1 : st[top]); while (st[top] != e); sort(con[cnt].begin(), con[cnt].end()); con[cnt].resize(unique(con[cnt].begin(), con[cnt].end()) - con[cnt].begin()); } } else if (pa != v) low[u] = min(low[u], vst[v]); } } int main() { memset(head, -1, sizeof head); int n, m; cin >> n >> m; for (int i = 1, u, v; i <= m; i++) cin >> u >> v, add(u, v, i); for (int i = 1; i <= n; i++) if (!vst[i]) dfs(i); for (int i = 1; i <= cnt; i++) { set<int> st; for (auto r : con[i]) st.insert(to[r]), st.insert(pv[r]); if (st.size() == con[i].size()) for (auto r : con[i]) ans.push_back(id[r]); } cout << ans.size() << endl; sort(ans.begin(), ans.end()); for (auto &r : ans) printf("%d ", r); return 0; }
#include <bits/stdc++.h> using namespace std; const int inf = 0x3f3f3f3f; const long long inff = 4557430888798830399ll; const double pi = acos(-1.0); long long mod = 1e9 + 7; map<int, map<int, int> > eid; struct DCC { DCC() { init(0, NULL); } void init(int _n, vector<int>* _N) { n = _n; N = _N; t = -1; m = 0; memset(dfn, 0, sizeof(dfn)); memset(low, 0, sizeof(low)); }; int n, t, m, dfn[100005], low[100005], s[100005]; vector<int>* N; vector<int> cut, D[100005]; void dfs(int u, int d, int p) { int sec = 0, son = d > 1; dfn[u] = low[u] = d; s[++t] = u; for (auto v : N[u]) { if (!dfn[v]) { dfs(v, d + 1, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { if (++son == 2) cut.push_back(u); m += 1; D[m].clear(); D[m].push_back(u); do { D[m].push_back(s[t]); } while (s[t--] != v); } } else if (v != p || sec++) low[u] = min(low[u], dfn[v]); } } void run() { for (int i = (1); i <= (n); ++i) if (!dfn[i]) dfs(i, 1, 0); } int z[100005]; vector<int> E; void excu() { memset(z, 0, sizeof(z)); E.clear(); vector<int> e; for (int i = (1); i <= (m); ++i) { e.clear(); for (auto u : D[i]) z[u] = i; for (auto u : D[i]) for (auto v : N[u]) if (z[v] == i) e.push_back(eid[u][v]); if (((int)e.size()) == ((int)D[i].size()) * 2) { sort((e).begin(), (e).end()); e.erase(unique((e).begin(), (e).end()), e.end()); for (auto ei : e) E.push_back(ei); } } sort((E).begin(), (E).end()); cout << ((int)E.size()) << endl; for (int i = (0); i < (((int)E.size())); ++i) cout << E[i] << " \n"[i == ((int)E.size()) - 1]; } }; DCC s; vector<int> N[100005]; int main() { int n, m, u, v; cin >> n >> m; for (int i = (1); i <= (m); ++i) { cin >> u >> v; N[u].push_back(v); N[v].push_back(u); eid[u][v] = eid[v][u] = i; } s.init(n, N); s.run(); s.excu(); }
#include <bits/stdc++.h> using namespace std; vector<int> ans; int tmp, tp, a, b, u, v, n, m, to[500010], deep[500010], nxt[500010], hd[500010], fa[100010], tofa[500010], num = -1, cf[500010]; bool tree[500010], vis[100010], flag; void add(int u, int v) { nxt[++num] = hd[u], to[num] = v, hd[u] = num; nxt[++num] = hd[v], to[num] = u, hd[v] = num; } void dfs1(int pos, int f, int dp) { fa[pos] = f; vis[pos] = 1; deep[pos] = dp; for (int i = hd[pos]; i != -1; i = nxt[i]) { if (!vis[to[i]]) { tofa[to[i]] = i, tree[i] = 1; dfs1(to[i], pos, dp + 1); } } } void dfs(int pos) { vis[pos] = 1; for (int i = hd[pos]; i != -1; i = nxt[i]) { if (tree[i]) dfs(to[i]), cf[pos] += cf[to[i]]; } } int main() { memset(hd, -1, sizeof hd); memset(nxt, -1, sizeof nxt); scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d%d", &a, &b); add(a, b); } for (int i = 1; i <= n; i++) if (!vis[i]) dfs1(i, 0, 1); for (int i = 0; i <= num; i += 2) { if (tree[i] || tree[i + 1]) continue; else u = to[i], v = to[i + 1]; if (deep[u] < deep[v]) swap(u, v); cf[u]++; cf[v]--; } memset(vis, 0, sizeof vis); for (int i = 1; i <= n; i++) if (!vis[i]) dfs(i); for (int i = 0; i <= num; i += 2) { if (tree[i] || tree[i + 1]) continue; else u = to[i], v = to[i + 1]; if (deep[u] < deep[v]) swap(u, v); flag = 0; tmp = u; for (; fa[tmp] != v; tmp = fa[tmp]) { if (cf[tmp] != 1) { flag = 1; break; } } if (!flag && cf[tmp] == 1) { ans.push_back((i + 2) / 2); while (u != v) { ans.push_back((tofa[u] + 2) / 2); u = fa[u]; } } } sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (int i = 0; i < ans.size(); i++) cout << ans[i] << " "; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 100005; int n, m; struct Edge { int u, v; int next; int ontree; } E[MAXN * 2]; int header[MAXN], tot = 0; int vis[MAXN], d[MAXN], dsum[MAXN]; int valpoint[MAXN], link[MAXN]; int ansnum = 0, reverseans[MAXN * 2], ans[MAXN]; int which[MAXN], cnt = 0, root[MAXN]; void addEdge(int u, int v) { E[++tot].u = u; E[tot].v = v; E[tot].ontree = 0; E[tot].next = header[u]; header[u] = tot; } void predfs(int x) { which[x] = cnt; for (int i = header[x]; i; i = E[i].next) { int y = E[i].v; if (which[y]) continue; predfs(y); } } void dfs(int x) { vis[x] = 1; for (int i = header[x]; i; i = E[i].next) { int y = E[i].v; if (vis[y]) continue; E[i].ontree = 1; if (i & 1) E[i + 1].ontree = 1; else E[i - 1].ontree = 1; d[y] = d[x] + 1; link[y] = i; dfs(y); } } void dfscount(int x) { vis[x] = 1; for (int i = header[x]; i; i = E[i].next) { int y = E[i].v; if (vis[y]) continue; dfscount(y); valpoint[x] += valpoint[y]; } } void dfssum(int x) { vis[x] = 1; for (int i = header[x]; i; i = E[i].next) { int y = E[i].v; if (vis[y]) continue; dsum[y] = dsum[x] + valpoint[y]; dfssum(y); } } int main() { memset(valpoint, 0, sizeof(valpoint)); memset(d, 0, sizeof(d)); scanf("%d%d", &n, &m); for (int i = 1; i <= m; ++i) { int u, v; scanf("%d%d", &u, &v); addEdge(u, v); addEdge(v, u); } for (int i = 1; i <= n; ++i) { if (!which[i]) { ++cnt; predfs(i); } } for (int i = 1; i <= n; ++i) { if (root[which[i]] == 0) { root[which[i]] = i; } } for (int i = 1; i <= cnt; ++i) { dfs(root[i]); } for (int i = 1; i <= 2 * m; i += 2) { if (E[i].ontree) continue; int tu = E[i].u, tv = E[i].v; if (d[tu] < d[tv]) { valpoint[tu] -= 1; valpoint[tv] += 1; } else { valpoint[tv] -= 1; valpoint[tu] += 1; } } memset(vis, 0, sizeof(vis)); for (int i = 1; i <= cnt; ++i) { dfscount(root[i]); } memset(vis, 0, sizeof(vis)); for (int i = 1; i <= cnt; ++i) { dfssum(root[i]); } for (int i = 1; i <= 2 * m; i += 2) { if (E[i].ontree) continue; int tu = E[i].u, tv = E[i].v; if (d[tv] < d[tu]) { int temp = tv; tv = tu; tu = temp; } if (d[tv] - d[tu] == dsum[tv] - dsum[tu]) { reverseans[i] = 1; reverseans[i + 1] = 1; for (int j = tv; j != tu; j = E[link[j]].u) { reverseans[link[j]] = 1; if (link[j] & 1) reverseans[link[j] + 1] = 1; else reverseans[link[j] - 1] = 1; } } } for (int i = 1; i <= 2 * m; i += 2) if (reverseans[i] == 1) ans[++ansnum] = i; printf("%d\n", ansnum); for (int i = 1; i <= ansnum; ++i) { printf("%d ", (ans[i] + 1) / 2); } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 102000; int n, m; struct edge { int from, to; } e[maxn]; vector<pair<int, int> > g[maxn]; int dfn[maxn], f[maxn], dd[maxn], cl, pt[maxn]; int chs[maxn], lnk[maxn]; void read() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d%d", &e[i].from, &e[i].to); g[e[i].from].push_back(make_pair(e[i].to, i)); g[e[i].to].push_back(make_pair(e[i].from, i)); } } vector<int> ans; vector<int> t[maxn]; void dfs(int now, int fa) { dfn[now] = ++cl; pt[now] = fa; for (int i = 0; i < (int)g[now].size(); i++) { pair<int, int> pr = g[now][i]; if (pr.first == fa) continue; if (!dfn[pr.first]) { t[now].push_back(pr.first); chs[pr.second] = 1; lnk[pr.first] = pr.second; dfs(pr.first, now); } else { if (dfn[pr.first] > dfn[now]) continue; f[now]++; f[pr.first]--; } } } int im[maxn]; void dfs2(int now) { for (int i = 0; i < t[now].size(); i++) { dfs2(t[now][i]); dd[now] += dd[t[now][i]]; } dd[now] += f[now]; } void dfs3(int now) { im[now] = im[pt[now]] + (dd[now] > 1); for (int i = 0; i < t[now].size(); i++) { dfs3(t[now][i]); } } void solve(int now) { if (dfn[e[now].from] < dfn[e[now].to]) swap(e[now].from, e[now].to); int kk = im[e[now].from] - im[e[now].to]; if (kk == 0) { int pla = e[now].from; while (pla != e[now].to) { ans.push_back(lnk[pla]); pla = pt[pla]; } ans.push_back(now); } } void work() { for (int i = 1; i <= n; i++) { if (!dfn[i]) dfs(i, 0), dfs2(i), dfs3(i); } for (int i = 1; i <= m; i++) { if (!chs[i]) solve(i); } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) { printf("%d ", ans[i]); } } int main() { read(); work(); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 55; namespace Fast_IO { const int MAXL((1 << 18) + 1); int iof, iotp; char ioif[MAXL], *ioiS, *ioiT, ioof[MAXL], *iooS = ioof, *iooT = ioof + MAXL - 1, ioc, iost[55]; char Getchar() { if (ioiS == ioiT) { ioiS = ioif; ioiT = ioiS + fread(ioif, 1, MAXL, stdin); return (ioiS == ioiT ? EOF : *ioiS++); } else return (*ioiS++); } void Write() { fwrite(ioof, 1, iooS - ioof, stdout); iooS = ioof; } void Putchar(char x) { *iooS++ = x; if (iooS == iooT) Write(); } inline int read() { int x = 0; for (iof = 1, ioc = Getchar(); (ioc < '0' || ioc > '9') && ioc != EOF;) iof = ioc == '-' ? -1 : 1, ioc = Getchar(); if (ioc == EOF) exit(0); for (x = 0; ioc <= '9' && ioc >= '0'; ioc = Getchar()) x = (x << 3) + (x << 1) + (ioc ^ 48); return x * iof; } inline long long read_ll() { long long x = 0; for (iof = 1, ioc = Getchar(); (ioc < '0' || ioc > '9') && ioc != EOF;) iof = ioc == '-' ? -1 : 1, ioc = Getchar(); if (ioc == EOF) exit(0); for (x = 0; ioc <= '9' && ioc >= '0'; ioc = Getchar()) x = (x << 3) + (x << 1) + (ioc ^ 48); return x * iof; } template <class Int> void Print(Int x, char ch = '\0') { if (!x) Putchar('0'); if (x < 0) Putchar('-'), x = -x; while (x) iost[++iotp] = x % 10 + '0', x /= 10; while (iotp) Putchar(iost[iotp--]); if (ch) Putchar(ch); } void Getstr(char *s, int &l) { for (ioc = Getchar(); ioc == ' ' || ioc == '\n' || ioc == '\t';) ioc = Getchar(); if (ioc == EOF) exit(0); for (l = 0; !(ioc == ' ' || ioc == '\n' || ioc == '\t' || ioc == EOF); ioc = Getchar()) s[l++] = ioc; s[l] = 0; } void Putstr(const char *s) { for (int i = 0, n = strlen(s); i < n; ++i) Putchar(s[i]); } } // namespace Fast_IO using namespace Fast_IO; int ans, cc; struct node { int to, nxt, id; } e[maxn * 2]; int head[maxn], ct = 1; void add(int u, int v) { e[++ct].to = v; e[ct].nxt = head[u]; head[u] = ct; } int Ans[maxn], bl[maxn], dfn[maxn], low[maxn], cnt, sta[maxn], top, a[maxn], ccnt, n, m, jishu; bool vis[maxn * 2]; void tarjan(int u, int fa) { dfn[u] = low[u] = ++cnt; for (int i = head[u]; i; i = e[i].nxt) { int v = e[i].to; if (v == fa || vis[i]) continue; vis[i] = vis[i ^ 1] = 1; sta[++top] = i; if (!dfn[v]) { tarjan(v, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { int num = 0, bnum = 0; jishu++; cc = 0; int x; do { x = sta[top--]; if (bl[e[x].to] != jishu) bl[e[x].to] = jishu, ++num; if (bl[e[x ^ 1].to] != jishu) bl[e[x ^ 1].to] = jishu, ++num; a[++bnum] = x; } while (x != i); if (bnum == num) for (int i = 1; i <= bnum; ++i) Ans[++ans] = a[i]; } } else low[u] = min(low[u], dfn[v]); } } int main() { n = read(), m = read(); for (int i = 1; i <= m; ++i) { int u = read(), v = read(); add(u, v); add(v, u); } for (int i = 1; i <= n; ++i) if (!dfn[i]) tarjan(i, 0); sort(Ans + 1, Ans + 1 + ans); printf("%d\n", ans); for (int i = 1; i <= ans; ++i) printf("%d%c", Ans[i] >> 1, i == ans ? '\n' : ' '); }
#include <bits/stdc++.h> using namespace std; const int N = 1e5; int depth[N]; int mindepth[N]; int col[N]; bool is[N]; bool mark[N]; vector<pair<int, int>> g[N]; int colors = 0; void findPoints(int v, int d = 0, int p = -1) { mark[v] = true; mindepth[v] = depth[v] = d; int childs = 0; for (auto to : g[v]) { int u = to.first; int id = to.second; if (mark[u]) { mindepth[v] = min(mindepth[v], depth[u]); } else { ++childs; findPoints(u, d + 1); mindepth[v] = min(mindepth[v], mindepth[u]); if (mindepth[u] >= depth[v]) { is[v] = true; col[id] = colors++; } } } if (p == 1 && childs >= 2) { is[v] = true; } } void print(int v, int c = -1) { mark[v] = true; for (auto to : g[v]) { int u = to.first; int id = to.second; if (!mark[u]) { if (col[id] != -1) { print(u, col[id]); } else if (c != -1) { col[id] = c; print(u, c); } } else if (c != -1 && col[id] == -1) { col[id] = c; } } } 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); --u, --v; g[u].push_back({v, i}); g[v].push_back({u, i}); } memset(col, -1, sizeof col); for (int v = 0; v < n; ++v) { if (!mark[v]) { findPoints(v, 0, 1); } } memset(mark, false, sizeof mark); for (int v = 0; v < n; ++v) { if (!mark[v] && is[v]) { print(v); } } vector<set<int>> pts(colors); vector<set<int>> ed(colors); for (int v = 0; v < n; ++v) { for (auto to : g[v]) { int u = to.first; int id = to.second; pts[col[id]].insert(u); pts[col[id]].insert(v); ed[col[id]].insert(id); } } set<int> ans; for (int i = 0; i < colors; ++i) { if (pts[i].size() == ed[i].size()) { ans.insert(ed[i].begin(), ed[i].end()); } } printf("%d\n", static_cast<int>(ans.size())); for (int v : ans) { printf("%d ", v + 1); } putchar('\n'); }
#include <bits/stdc++.h> using namespace std; const int maxn = 102000; int n, m; struct edge { int from, to; } e[maxn]; vector<pair<int, int> > g[maxn]; int dfn[maxn], f[maxn], dd[maxn], cl, pt[maxn]; int chs[maxn], lnk[maxn]; void read() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d%d", &e[i].from, &e[i].to); g[e[i].from].push_back(make_pair(e[i].to, i)); g[e[i].to].push_back(make_pair(e[i].from, i)); } } vector<int> ans; vector<int> t[maxn]; void dfs(int now, int fa) { dfn[now] = ++cl; pt[now] = fa; for (int i = 0; i < g[now].size(); i++) { pair<int, int> pr = g[now][i]; if (pr.first == fa) continue; if (!dfn[pr.first]) { t[now].push_back(pr.first); chs[pr.second] = 1; lnk[pr.first] = pr.second; dfs(pr.first, now); } else { if (dfn[pr.first] > dfn[now]) continue; f[now]++; f[pr.first]--; } } } int im[maxn]; void dfs2(int now) { for (int i = 0; i < t[now].size(); i++) { dfs2(t[now][i]); dd[now] += dd[t[now][i]]; } dd[now] += f[now]; } void dfs3(int now) { im[now] = im[pt[now]] + (dd[now] > 1); for (int i = 0; i < t[now].size(); i++) { dfs3(t[now][i]); } } void solve(int now) { if (dfn[e[now].from] < dfn[e[now].to]) swap(e[now].from, e[now].to); int kk = im[e[now].from] - im[e[now].to]; if (kk == 0) { int pla = e[now].from; while (pla != e[now].to) { ans.push_back(lnk[pla]); pla = pt[pla]; } ans.push_back(now); } } void work() { for (int i = 1; i <= n; i++) { if (!dfn[i]) dfs(i, 0), dfs2(i), dfs3(i); } for (int i = 1; i <= m; i++) { if (!chs[i]) solve(i); } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) { printf("%d ", ans[i]); } } int main() { read(); work(); return 0; }
#include <bits/stdc++.h> using namespace std; inline long long QuickPow(long long x, long long y) { long long Res = 1, Temp = x; while (y) { if (y & 1) Res = Res * Temp % 1000000007; Temp = Temp * Temp % 1000000007; y /= 2; } return Res; } inline void Swap(long long &x, long long &y) { long long Temp = x; x = y; y = Temp; } inline long long Max(long long x, long long y) { return x > y ? x : y; } inline long long Min(long long x, long long y) { return x < y ? x : y; } inline void read(long long &x) { x = 0; long long f = 1; char s = getchar(); while (s < '0' || s > '9') { if (s == '-') f = -1; s = getchar(); } while (s >= '0' && s <= '9') { x = (x << 3) + (x << 1) + (s ^ 48); s = getchar(); } x *= f; } struct node { long long v, Index; node() {} node(long long V, long long INDEX) { v = V; Index = INDEX; } }; set<long long> Ans, Bian[100005], Dian[100005]; set<long long>::iterator item; stack<long long> S; vector<node> G[100005]; bool InStack[100005]; long long Dfn[100005], Low[100005], Cnt, Col; void Tarjan(long long x, long long Pre) { Dfn[x] = Low[x] = ++Cnt; int l = G[x].size(); for (register long long i = 0; i < l; ++i) { long long to = G[x][i].v; if (to == Pre) continue; if (!Dfn[to]) { S.push(to); S.push(x); S.push(G[x][i].Index); Tarjan(to, x); Low[x] = Min(Low[x], Low[to]); if (Low[to] >= Dfn[x]) { Col++; long long u, v; do { Bian[Col].insert(S.top()); S.pop(); u = S.top(); S.pop(); v = S.top(); S.pop(); Dian[Col].insert(u); Dian[Col].insert(v); } while (u != x || v != to); } } else if (Dfn[to] < Dfn[x]) { S.push(to); S.push(x); S.push(G[x][i].Index); Low[x] = Min(Low[x], Dfn[to]); } } } int main() { long long n, m; read(n); read(m); for (register long long i = 1; i <= m; ++i) { long long u, v; read(u); read(v); G[u].push_back(node(v, i)); G[v].push_back(node(u, i)); } for (register long long i = 1; i <= n; ++i) if (!Dfn[i]) Tarjan(i, i); for (register long long i = 1; i <= Col; ++i) if (Bian[i].size() == Dian[i].size()) Ans.insert(Bian[i].begin(), Bian[i].end()); int l = Ans.size(); printf("%d\n", l); for (item = Ans.begin(); item != Ans.end(); item++) printf("%lld ", *item); return 0; }
#include <bits/stdc++.h> using namespace std; long long n, m, low[1200005], tnum, ans, tot = 1, tmp[1200005], f[1200005], vis[1200005], dfn[1200050], cnt = 0, nex[2200005], go[2200005], head[2200005]; stack<long long> q; stack<long long> qq; vector<long long> a[1200005]; void add(long long u, long long v) { nex[++tot] = head[u]; head[u] = tot; go[tot] = v; } void tar(long long u) { dfn[u] = low[u] = ++tnum; qq.push(u); for (long long i = head[u]; i; i = nex[i]) { long long v = go[i]; if (vis[i >> 1]) continue; vis[i >> 1] = 1; q.push((i >> 1)); if (!dfn[v]) { tar(v); low[u] = min(low[u], low[v]); if (low[v] < dfn[u]) continue; cnt++; tmp[cnt]++; while (1) { long long tp = qq.top(); qq.pop(); tmp[cnt]++; if (tp == v) break; } while (1) { long long tp = q.top(); a[cnt].push_back(tp); q.pop(); if (tp == (i >> 1)) break; } } low[u] = min(low[u], dfn[v]); } } signed main() { cin >> n >> m; for (long long i = 1, u, v; i <= m; i++) { scanf("%lld%lld", &u, &v); add(u, v); add(v, u); } for (long long i = 1; i <= n; i++) if (!dfn[i]) tar(i); for (long long i = 1; i <= cnt; i++) { if (tmp[i] != a[i].size()) continue; for (long long j = 0; j < a[i].size(); j++) { f[a[i][j]] = 1; } } for (long long i = 1; i <= m; i++) { if (f[i]) ans++; } cout << ans << endl; for (long long i = 1; i <= m; i++) if (f[i]) cout << i << " "; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 10; stack<int> s; vector<pair<int, int> > side; vector<int> graph[N], ans; bitset<N> went, used; int dep[N], low[N], t = 0; void dfs(int now, int from) { int l, r; map<int, int> m; vector<int> v; bool f; low[now] = dep[now] = ++t; went[now] = true; for (int i : graph[now]) if (!used[i]) { used[i] = true; s.push(i); l = side[i].first; r = side[i].second; if (r == now) swap(l, r); if (!went[r]) { dfs(r, i); low[now] = min(low[now], low[r]); if (low[r] >= dep[now]) { f = true; m.clear(); v.clear(); while (s.top() != i) { if (m.find(side[s.top()].first) == m.end()) m.insert({side[s.top()].first, 1}); else m[side[s.top()].first]++; if (m.find(side[s.top()].second) == m.end()) m.insert({side[s.top()].second, 1}); else m[side[s.top()].second]++; v.push_back(s.top()); s.pop(); } if (m.find(side[s.top()].first) == m.end()) m.insert({side[s.top()].first, 1}); else m[side[s.top()].first]++; if (m.find(side[s.top()].second) == m.end()) m.insert({side[s.top()].second, 1}); else m[side[s.top()].second]++; v.push_back(s.top()); s.pop(); for (pair<int, int> i : m) if (i.second != 2) { f = false; break; } if (f) for (int i : v) ans.push_back(i); } } else low[now] = min(low[now], dep[r]); } return; } int main() { int n, m, l, r; scanf("%d%d", &n, &m); side.push_back({0, 0}); for (int i = 1; i <= m; i++) { scanf("%d%d", &l, &r); graph[l].push_back(i); graph[r].push_back(i); side.push_back({l, r}); } went.reset(); used.reset(); for (int i = 1; i <= n; i++) if (!went[i]) { s.push(0); dfs(i, 0); } if (ans.empty()) printf("0\n\n"); else { sort(ans.begin(), ans.end()); printf("%ld\n%d", ans.size(), ans[0]); for (int i = 1; i < ans.size(); i++) printf(" %d", ans[i]); printf("\n"); } }
#include <bits/stdc++.h> using namespace std; struct edge { int to, nxt; }; int head[100010], cnt; int ans; edge e[200010]; int dfn[100010], low[100010], ind; int stk[200010], top; int col[100010], num; int deg[100010]; bool ok[100010]; int n, m; void addedge(int a, int b) { e[cnt].to = b; e[cnt].nxt = head[a]; head[a] = cnt++; deg[a]++; } void tarjan(int x, int p) { dfn[x] = low[x] = ++ind; for (int i = head[x]; i != -1; i = e[i].nxt) { int y = e[i].to; if (y == p) continue; if (!dfn[y]) { stk[++top] = i; tarjan(y, x); low[x] = min(low[x], low[y]); if (low[y] >= dfn[x]) { num++; int nod = 0; vector<int> es; while (top && stk[top] != i) { int p = e[stk[top]].to; if (col[p] != num) col[p] = num, nod++; es.push_back(stk[top]); top--; } int p = e[stk[top]].to; if (col[p] != num) col[p] = num, nod++; es.push_back(stk[top]); top--; if (col[x] != num) col[x] = num, nod++; if (nod == (int)es.size()) { ans += nod; for (int j = 0; j < (int)es.size(); j++) ok[es[j] / 2 + 1] = true; } } } else if (dfn[y] < dfn[x]) { stk[++top] = i; low[x] = min(low[x], dfn[y]); } } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= n; i++) head[i] = -1; for (int i = 1; i <= m; i++) { int a, b; scanf("%d%d", &a, &b); addedge(a, b); addedge(b, a); } for (int i = 1; i <= n; i++) { if (dfn[i]) continue; tarjan(i, 0); } printf("%d\n", ans); for (int i = 1; i <= m; i++) if (ok[i]) printf("%d ", i); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100010; int n, m; int low[maxn], dfn[maxn], v[maxn << 1], A[maxn]; int nxt[maxn << 1], head[maxn], belong[maxn], a[maxn], vis[maxn << 1]; stack<int> s; int indexs = 0, cnt = 0; int ans = 0; void add_edge(int x, int y) { static int N = 1; N++; v[N] = y; nxt[N] = head[x]; head[x] = N; } void tarjan(int x, int fa) { dfn[x] = low[x] = ++indexs; for (int i = head[x]; i != -1; i = nxt[i]) { if (vis[i]) continue; vis[i] = vis[i ^ 1] = 1; s.push(i); if (!dfn[v[i]]) { tarjan(v[i], x); low[x] = min(low[x], low[v[i]]); if (low[v[i]] >= dfn[x]) { cnt++; int num = 0, bcnt = 0; while (1) { int tmp = s.top(); s.pop(); if (belong[v[tmp]] != cnt) belong[v[tmp]] = cnt, num++; if (belong[v[tmp ^ 1]] != cnt) belong[v[tmp ^ 1]] = cnt, num++; a[++bcnt] = tmp; if (tmp == i) break; } if (num == bcnt) for (int i = 1; i <= bcnt; i++) A[++ans] = a[i]; } } else low[x] = min(low[x], dfn[v[i]]); } } int main() { memset(head, -1, sizeof(head)); scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int x, y; scanf("%d%d", &x, &y); add_edge(x, y); add_edge(y, x); } for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, 0); sort(A + 1, A + 1 + ans); printf("%d\n", ans); for (int i = 1; i <= ans; i++) cout << (A[i] >> 1) << " "; return 0; }
#include <bits/stdc++.h> using namespace std; vector<pair<int, int> > v[100005]; vector<int> scc[100005]; int nscc; vector<int> stk; int vis[100005]; int lw[100005]; int t; pair<int, int> p[100005]; int ok[100005]; void dfs(int a) { vis[a] = lw[a] = ++t; for (auto it : v[a]) { if (!ok[it.second]) { ok[it.second] = 1; stk.push_back(it.second); if (!vis[it.first]) { dfs(it.first); if (lw[it.first] >= vis[a]) { while (stk.back() != it.second) { scc[nscc].push_back(stk.back()); stk.pop_back(); } scc[nscc++].push_back(stk.back()); stk.pop_back(); } lw[a] = min(lw[a], lw[it.first]); } else { lw[a] = min(vis[it.first], lw[a]); } } } } int main() { int n, m; scanf("%d %d", &n, &m); for (int i = 1; i <= m; i++) { int a, b; scanf("%d %d", &a, &b); p[i] = make_pair((a), (b)); v[a].push_back(make_pair((b), (i))); v[b].push_back(make_pair((a), (i))); } t = 0; nscc = 0; for (int i = 1; i <= n; i++) { if (!vis[i]) { dfs(i); } } int node[100005]; memset(node, 0, sizeof(node)); vector<int> ans; for (int i = 0; i < nscc; i++) { int cnt = 0; for (auto it : scc[i]) { if (node[p[it].first] != i + 1) { cnt++; node[p[it].first] = i + 1; } if (node[p[it].second] != i + 1) { cnt++; node[p[it].second] = i + 1; } } if (cnt == scc[i].size()) { for (auto it : scc[i]) ans.push_back(it); } } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (auto it : ans) printf("%d ", it); }
#include <bits/stdc++.h> using namespace std; const int maxn = 100010; int n, m; int low[maxn], dfn[maxn], v[maxn << 1], A[maxn]; int nxt[maxn << 1], head[maxn], belong[maxn], a[maxn], vis[maxn << 1]; stack<int> s; int indexs = 0, cnt = 0; int ans = 0; void add_edge(int x, int y) { static int N = 1; N++; v[N] = y; nxt[N] = head[x]; head[x] = N; } void tarjan(int x, int fa) { dfn[x] = low[x] = ++indexs; for (int i = head[x]; i != -1; i = nxt[i]) { if (vis[i]) continue; vis[i] = vis[i ^ 1] = 1; s.push(i); if (!dfn[v[i]]) { tarjan(v[i], x); low[x] = min(low[x], low[v[i]]); if (low[v[i]] >= dfn[x]) { cnt++; int num = 0, bcnt = 0; while (1) { int tmp = s.top(); s.pop(); if (belong[v[tmp]] != cnt) belong[v[tmp]] = cnt, num++; if (belong[v[tmp ^ 1]] != cnt) belong[v[tmp ^ 1]] = cnt, num++; a[++bcnt] = tmp; if (tmp == i) break; } if (num == bcnt) { for (int i = 1; i <= bcnt; i++) A[++ans] = a[i]; } } } else low[x] = min(low[x], dfn[v[i]]); } } int main() { memset(head, -1, sizeof(head)); scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int x, y; scanf("%d%d", &x, &y); add_edge(x, y); add_edge(y, x); } for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, 0); sort(A + 1, A + 1 + ans); printf("%d\n", ans); for (int i = 1; i <= ans; i++) cout << (A[i] >> 1) << " "; return 0; }
#include <bits/stdc++.h> using namespace std; template <typename tp> void read(tp& dig) { char ch = getchar(); dig = 0; int flag = 0; while (!isdigit(ch)) { if (ch == '-') flag = 1; ch = getchar(); } while (isdigit(ch)) dig = dig * 10 + ch - '0', ch = getchar(); if (flag) dig = -dig; } struct edge { int u, v, id; } tmp; vector<int> bcc[150010], bcce[150010]; bool mark[300010]; int st[150010], ble[300010]; int fst[150010], nxt[300010], to[300010], id[300010]; int bcc_cnt, dfs_clock, bl[150010], icv[150010], low[150010]; int n, m, lnum, pre[150010], num[150010], sum[150010], ans[150010]; inline void add_edge(int u, int v, int k) { nxt[++lnum] = fst[u]; fst[u] = lnum; to[lnum] = v; id[lnum] = k; nxt[++lnum] = fst[v]; fst[v] = lnum; to[lnum] = u; id[lnum] = k; } inline void dfs(int u, int fa) { pre[u] = low[u] = ++dfs_clock; int ss = 0; for (int i = fst[u]; ~i; i = nxt[i]) { if (mark[i]) continue; mark[i] = mark[i ^ 1] = 1; st[++st[0]] = i; if (!pre[to[i]]) { ++ss; dfs(to[i], u); low[u] = min(low[u], low[to[i]]); if (low[to[i]] >= pre[u]) { icv[u] = 1; ++bcc_cnt; for (;;) { int j = st[st[0]--]; if (bl[to[j]] != bcc_cnt) ++num[bcc_cnt], bl[to[j]] = bcc_cnt; if (bl[to[j ^ 1]] != bcc_cnt) ++num[bcc_cnt], bl[to[j ^ 1]] = bcc_cnt; ble[(j >> 1) + 1] = bcc_cnt; if (i == j) break; } } } else low[u] = min(low[u], pre[to[i]]); } if (u == fa && ss == 1) icv[u] = 0; } int main() { memset(fst, -1, sizeof fst); read(n); read(m); lnum = -1; for (int i = 1, x, y; i <= m; ++i) { read(x); read(y); add_edge(x, y, i); } for (int i = 1; i <= n; ++i) if (!pre[i]) dfs(i, i); for (int i = 1; i <= m; ++i) bcce[ble[i]].push_back(i); for (int i = 1; i <= bcc_cnt; ++i) if (bcce[i].size() == num[i]) for (int j = 0; j < bcce[i].size(); ++j) ans[++ans[0]] = bcce[i][j]; sort(ans + 1, ans + ans[0] + 1); printf("%d\n", ans[0]); for (int i = 1; i <= ans[0]; ++i) printf("%d ", ans[i]); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; struct edge { int to, next; } e[1000010]; int head[1000010], num = 1; int n, m; int cnt, tot; int dfn[1000010], low[1000010]; stack<int> s; set<int> node[100010], edge[100010], ans; void addedge(int a, int b) { e[++num].to = b; e[num].next = head[a]; head[a] = num; } void tarjan(int u, int fa) { dfn[u] = low[u] = ++cnt; for (int i = head[u]; i; i = e[i].next) { if (!dfn[e[i].to]) { s.push(i >> 1); s.push(u); s.push(e[i].to); tarjan(e[i].to, u); low[u] = min(low[u], low[e[i].to]); if (dfn[u] <= low[e[i].to]) { tot++; while (1) { int t1 = s.top(); s.pop(); int t2 = s.top(); s.pop(); node[tot].insert(t1); node[tot].insert(t2); edge[tot].insert(s.top()); s.pop(); if (t1 == e[i].to && t2 == u) break; } } } else { if (dfn[e[i].to] < dfn[u] && e[i].to != fa) { s.push(i >> 1); s.push(u); s.push(e[i].to); low[u] = min(low[u], dfn[e[i].to]); } } } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int a, b; scanf("%d%d", &a, &b); addedge(a, b); addedge(b, a); } for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, 0); for (int i = 1; i <= tot; i++) { if (edge[i].size() == node[i].size()) { ans.insert(edge[i].begin(), edge[i].end()); } } printf("%d\n", ans.size()); for (int i : ans) printf("%d ", i); }
#include <bits/stdc++.h> using namespace std; const int INFINITE = INT_MIN; template <typename T> struct SegTree { struct SegTreeNode { T val; T addMark; }; vector<SegTreeNode> nodes; T *arr; int istart, iend, maxIndex; SegTree() {} SegTree(T *arr1, int start, int end) : arr(arr1), istart(start), iend(end) { nodes.resize((end - start + 1) << 2); maxIndex = -1; build(0, arr, istart, iend); } void build(int root, T arr[], int istart, int iend) { nodes[root].addMark = 0; if (istart == iend) { if (root > maxIndex) maxIndex = root; nodes[root].val = arr[istart]; } else { int mid = (istart + iend) / 2; build(root * 2 + 1, arr, istart, mid); build(root * 2 + 2, arr, mid + 1, iend); nodes[root].val = max(nodes[root * 2 + 1].val, nodes[root * 2 + 2].val); } } void pushDown(int root) { if (nodes[root].addMark != 0) { nodes[root].val += nodes[root].addMark; if ((root << 1) + 1 <= maxIndex) nodes[(root << 1) + 1].addMark += nodes[root].addMark; if ((root << 1) + 2 <= maxIndex) nodes[(root << 1) + 2].addMark += nodes[root].addMark; nodes[root].addMark = 0; } } T query(int qstart, int qend) { return query(0, istart, iend, qstart, qend); } T query(int root, int nstart, int nend, int qstart, int qend) { if (qstart > nend || qend < nstart) return INFINITE; if (qstart <= nstart && qend >= nend) { pushDown(root); return nodes[root].val; } pushDown(root); int mid = (nstart + nend) / 2; return max(query(root * 2 + 1, nstart, mid, qstart, qend), query(root * 2 + 2, mid + 1, nend, qstart, qend)); } void update(int ustart, int uend, T addValue) { update(0, istart, iend, ustart, uend, addValue); } void update(int root, int nstart, int nend, int ustart, int uend, T addVal) { if (ustart > nend || uend < nstart) return; if (ustart <= nstart && uend >= nend) { nodes[root].addMark += addVal; pushDown(root); return; } pushDown(root); int mid = (nstart + nend) / 2; update(root * 2 + 1, nstart, mid, ustart, uend, addVal); update(root * 2 + 2, mid + 1, nend, ustart, uend, addVal); nodes[root].val = max(nodes[root * 2 + 1].val, nodes[root * 2 + 2].val); } void updateOne(int index, T addVal) { updateOne(0, istart, iend, index, addVal); } void updateOne(int root, int nstart, int nend, int index, T addVal) { if (nstart == nend) { if (index == nstart) { pushDown(root); nodes[root].val += addVal; } return; } int mid = (nstart + nend) / 2; pushDown(root); if (index <= mid) updateOne(root * 2 + 1, nstart, mid, index, addVal); else updateOne(root * 2 + 2, mid + 1, nend, index, addVal); nodes[root].val = max(nodes[root * 2 + 1].val, nodes[root * 2 + 2].val); } }; const int V = 1e5 + 20; struct node { int v; int idx; bool flag; node(int a = 0, int b = 0, bool c = 0) : v(a), idx(b), flag(c) {} }; vector<node> adj[V]; int parent[V], heavy[V]; int depth[V], size[V]; int chain[V], head[V], pos[V]; int vist[V]; vector<int> realChain[V]; SegTree<int> trees[V]; int ids[V]; vector<pair<int, int> > nonEds; int n, m; void DFS(int i) { size[i] = 1, vist[i] = 1; for (int k = 0; k < adj[i].size(); ++k) { auto &ele = adj[i][k]; int j = ele.v; if (j == parent[i]) { ele.flag = 1; continue; } if (vist[j] == 1) { ele.flag = 0; continue; } ele.flag = 1; parent[j] = i; ids[j] = ele.idx; depth[j] = depth[i] + 1; DFS(j); size[i] += size[j]; if (heavy[i] == -1 || size[j] > size[heavy[i]]) heavy[i] = j; } } void heavylight_DFS(int N) { memset(heavy, -1, sizeof(heavy)); memset(vist, 0, sizeof(vist)); for (int i = 1; i <= N; i++) { if (!vist[i]) { parent[i] = -1; depth[i] = 0; DFS(i); } } for (int i = 1; i <= N; i++) { for (int j = 0; j < adj[i].size(); j++) { int u = adj[i][j].v; if (i < u && adj[i][j].flag == 0) { nonEds.push_back({i, j}); } } } int c = 0; for (int i = 1; i <= N; ++i) if (parent[i] == -1 || heavy[parent[i]] != i) { for (int k = i, p = 0; k != -1; k = heavy[k]) { chain[k] = c, head[k] = i, pos[k] = p++; realChain[c].push_back(0); } c++; } for (int i = 0; i < c; i++) { trees[i] = SegTree<int>(realChain[i].data(), 0, (int)realChain[i].size() - 1); } } int query(int i, int j) { int ans = INT_MIN; int cid, pp, pp2; while (chain[i] != chain[j]) { if (depth[head[i]] > depth[head[j]]) swap(i, j); cid = chain[j], pp = pos[j]; ans = max(ans, trees[cid].query(0, pp)); j = parent[head[j]]; } cid = chain[i], pp = pos[i], pp2 = pos[j]; if (pp > pp2) swap(pp, pp2); if (pp == pp2) return ans; else { pp++; ans = max(ans, trees[cid].query(pp, pp2)); return ans; } } void update(int i, int j) { int cid, pp, pp2; while (chain[i] != chain[j]) { if (depth[head[i]] > depth[head[j]]) swap(i, j); cid = chain[j], pp = pos[j]; trees[cid].update(0, pp, 1); j = parent[head[j]]; } cid = chain[i], pp = pos[i], pp2 = pos[j]; if (pp > pp2) swap(pp, pp2); if (pp != pp2) { pp++; trees[cid].update(pp, pp2, 1); } } vector<int> bb; void allo(int v, int u) { while (v != u) { if (depth[v] > depth[u]) { bb.push_back(ids[v]); v = parent[v]; } else { bb.push_back(ids[u]); u = parent[u]; } } } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { int a, b; scanf("%d%d", &a, &b); adj[a].push_back({b, i + 1, 0}); adj[b].push_back({a, i + 1, 0}); } heavylight_DFS(n); for (int i = 0; i < nonEds.size(); i++) { int v = nonEds[i].first, u = adj[v][nonEds[i].second].v; update(v, u); } int ans = 0; for (int i = 0; i < nonEds.size(); i++) { int v = nonEds[i].first, u = adj[v][nonEds[i].second].v; int aa = query(v, u); if (aa == 1) { allo(v, u); bb.push_back(adj[v][nonEds[i].second].idx); ans += abs(depth[v] - depth[u]) + 1; } } printf("%d\n", ans); assert(ans == bb.size()); sort(bb.begin(), bb.end()); for (int i = 0; i < bb.size(); i++) printf("%d ", bb[i]); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; vector<vector<pair<int, int>>> adj(100001); int disc[100001], low[100001], tim; struct edge { int x, y, ind; }; vector<edge> s; vector<int> ans; void proses(vector<edge> &v) { set<int> s; int temp; for (int temp = 0; temp < v.size(); temp++) { s.insert(v[temp].x); s.insert(v[temp].y); } if (s.size() == v.size()) { for (temp = 0; temp < v.size(); temp++) { ans.push_back(v[temp].ind); } } } void dfs(int pos, int par) { disc[pos] = low[pos] = tim++; int child = 0; for (int temp = 0; temp < adj[pos].size(); temp++) { int thenode = adj[pos][temp].first, ind = adj[pos][temp].second; if ((thenode == par) || ((disc[thenode] != -1) && (disc[thenode] > disc[pos]))) continue; if (disc[thenode] == -1) { s.push_back({pos, thenode, ind}); dfs(thenode, pos); child++; low[pos] = min(low[pos], low[thenode]); } else { s.push_back({pos, thenode, ind}); low[pos] = min(low[pos], disc[thenode]); } if (((pos == par) && (child > 1)) || ((pos != par) && (disc[pos] <= low[thenode]))) { vector<edge> edges; while (true) { int u = s.back().x, v = s.back().y, ind = s.back().ind; edges.push_back({u, v, ind}); s.pop_back(); if ((u == pos) && (v == thenode)) break; } proses(edges); } } } int main() { int n, m; cin >> n >> m; int temp, temp2; for (temp = 1; temp <= m; temp++) { int x, y; cin >> x >> y; adj[x].push_back({y, temp}); adj[y].push_back({x, temp}); } memset(disc, -1, sizeof(disc)); for (temp = 1; temp <= n; temp++) { if (disc[temp] == -1) { dfs(temp, temp); proses(s); s.clear(); } } sort(ans.begin(), ans.end()); cout << ans.size() << "\n"; for (temp = 0; temp < ans.size(); temp++) { cout << ans[temp]; if (temp != ans.size() - 1) cout << " "; } cout << "\n"; }
#include <bits/stdc++.h> using namespace std; const int arr = 3e5; vector<pair<int, int> > vec[arr]; vector<int> add; int deep[arr], ok[arr], use[arr]; int a[arr], b[arr], cnt[arr]; vector<pair<int, int> > ask[arr]; vector<pair<int, int> > cyc; int pr[arr]; void dfs(int u, int pred) { use[u] = 1; pr[u] = pred; deep[u] = deep[pred] + 1; for (auto i : vec[u]) if (i.first != pred) { if (use[i.first]) { if (deep[i.first] < deep[u]) add.push_back(i.second); } else dfs(i.first, u); } } void dfs2(int u, int pred) { use[u] = 1; for (auto i : vec[u]) if (i.first != pred) if (!use[i.first]) { dfs2(i.first, u); cnt[u] += cnt[i.first]; } } int get() { if (cyc.empty()) return (0); return (cyc.back().second); } void addd(int u) { if (u != 1) cyc.push_back({u, 0}); else cyc.push_back({u, get() + 1}); } void dell() { cyc.pop_back(); } void dfs3(int u, int pred) { use[u] = 1; for (auto i : ask[u]) { if (get() >= i.first) ok[i.second] = 1; } for (auto i : vec[u]) if (!use[i.first]) { addd(cnt[i.first]); dfs3(i.first, u); dell(); } } map<pair<int, int>, int> mp; signed main() { int n, m; cin >> n >> m; for (int i = 1; i <= m; i++) { cin >> a[i] >> b[i]; mp[{a[i], b[i]}] = i; mp[{b[i], a[i]}] = i; vec[a[i]].push_back({b[i], i}); vec[b[i]].push_back({a[i], i}); } for (int i = 1; i <= n; i++) if (!use[i]) dfs(i, 0); for (auto i : add) { if (deep[a[i]] < deep[b[i]]) swap(a[i], b[i]); cnt[a[i]]++; cnt[b[i]]--; } for (int i = 1; i <= n; i++) use[i] = 0; for (int i = 1; i <= n; i++) if (!use[i]) dfs2(i, 0); int cnt = 0; for (auto i : add) { ask[a[i]].push_back({deep[a[i]] - deep[b[i]], i}); } for (int i = 1; i <= n; i++) use[i] = 0; for (int i = 1; i <= n; i++) if (!use[i]) dfs3(i, 0); vector<int> ans; for (auto i : add) if (ok[i]) { ans.push_back(i); while (a[i] != b[i]) { ans.push_back(mp[{a[i], pr[a[i]]}]); a[i] = pr[a[i]]; } } cout << ans.size() << '\n'; sort(ans.begin(), ans.end()); for (auto i : ans) cout << i << ' '; }
#include <bits/stdc++.h> using namespace std; const int N = 100010; int k, n, m, x, y; int low[N], dfn[N], tc; int st[N], top; int h[N], t[N << 1], nx[N << 1], num = 1; int vis[N], cur; bool b[N << 1]; int a[N], A[N], ncnt; void Add(int x, int y) { t[++num] = y; nx[num] = h[x]; h[x] = num; } void Dfs(int x, int y) { dfn[x] = low[x] = ++tc; for (int i = h[x]; i; i = nx[i]) if (t[i] != y && !b[i]) { b[i] = b[i ^ 1] = 1; st[++top] = i; int v = t[i]; if (!dfn[v]) { Dfs(v, x); low[x] = min(low[x], low[v]); if (dfn[x] <= low[v]) { int cnt = 0, Top = 0; ++cur; while (st[top] != i) { int x = st[top--]; if (vis[t[x]] != cur) vis[t[x]] = cur, ++cnt; if (vis[t[x ^ 1]] != cur) vis[t[x ^ 1]] = cur, ++cnt; a[++Top] = x; } if (vis[t[i]] != cur) vis[t[i]] = cur, ++cnt; if (vis[t[i ^ 1]] != cur) vis[t[i ^ 1]] = cur, ++cnt; a[++Top] = i; --top; if (dfn[x] == low[v] && cnt == Top) { for (int i = 1; i <= Top; i++) A[++ncnt] = a[i]; } } } else low[x] = min(low[x], dfn[v]); } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) scanf("%d%d", &x, &y), Add(x, y), Add(y, x); for (int i = 1; i <= n; i++) if (!dfn[i]) Dfs(i, 0); cout << ncnt << endl; sort(A + 1, A + ncnt + 1); for (int i = 1; i <= ncnt; i++) printf("%d ", A[i] >> 1); return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int x = 0, f = 0; char c = getchar(); while (c < '0' || c > '9') { if (c == '-') f = 1; c = getchar(); } while (c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar(); if (f) x = -x; return x; } int a[100005], fa[100005], fd[100005], dep[100005], n, m; int ans[200005], sta[100005], top[100005], cnt = 0; int head[100005], nxt[200005], v[200005], id[200005], tot = 0; bool vis[100005], ins[100005]; vector<int> vec[100005]; inline int getf(int a) { while (top[a] ^ a) a = top[a] = top[top[a]]; return a; } inline void add(int a, int b, int qwq) { tot++; nxt[tot] = head[a]; head[a] = tot; v[tot] = b; id[tot] = qwq; } inline void cover(int id, int a, int b) { int tag = 1; for (int i = a; i != b; i = fa[i]) { if (sta[i] > 0 || sta[i] == -1) { tag = 0; break; } } if (tag == 1) { for (int i = a; i != b; i = fa[i]) { sta[i] = id; vec[id].push_back(i); } return; } int i = a; while (dep[i] > dep[b]) { if (sta[i] == 0) { sta[i] = -1; top[i] = fa[i]; i = fa[i]; continue; } if (sta[i] == -1) { i = getf(i); continue; } if (sta[i] > 0) { int p = sta[i], j; for (j = 0; j < vec[p].size(); j++) { sta[vec[p][j]] = -1; top[vec[p][j]] = fa[vec[p][j]]; } vec[p].clear(); i = fa[i]; } } } void dfs(int pos, int f) { vis[pos] = ins[pos] = 1; for (int i = head[pos]; i; i = nxt[i]) { if (v[i] == f) continue; if (vis[v[i]] && ins[v[i]]) { cover(id[i], pos, v[i]); continue; } if (vis[v[i]]) continue; dep[v[i]] = dep[pos] + 1; fa[v[i]] = pos; fd[v[i]] = id[i]; dfs(v[i], pos); } ins[pos] = 0; } int main() { int i, j, a, b; n = read(); m = read(); for (i = 1; i <= m; i++) { a = read(); b = read(); add(a, b, i); add(b, a, i); } for (i = 1; i <= n; i++) top[i] = i; for (i = 1; i <= n; i++) { if (!vis[i]) dfs(i, 0); } for (i = 1; i <= n; i++) { if (sta[i] > 0) { ans[++cnt] = sta[i]; ans[++cnt] = fd[i]; } } sort(ans + 1, ans + cnt + 1); cnt = unique(ans + 1, ans + cnt + 1) - ans - 1; printf("%d\n", cnt); for (i = 1; i <= cnt; i++) { printf("%d ", ans[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, prt[100001][2] = {}, anc[100001], disc[100001] = {}, idx = 1; vector<vector<pair<int, int> > > adj; vector<int> ans; stack<pair<pair<int, int>, int> > sk; inline void stkout() { stack<pair<pair<int, int>, int> > tp = sk; cout << "Stack Size : " << tp.size() << "\n"; while (tp.size()) { cout << tp.top().first.first << " " << tp.top().first.second << " " << tp.top().second << "\n"; tp.pop(); } } inline void ins(int u, int lw) { if (sk.size()) { if (sk.top().first.second < lw) { sk.push({{lw, anc[u]}, u}); } else { while (sk.size()) { if (sk.top().first.first >= lw) { sk.pop(); } else { break; } } if (sk.size() && sk.top().first.second >= lw) { lw = sk.top().first.first; sk.pop(); } sk.push({{lw, anc[u]}, -1}); } } else { sk.push({{lw, anc[u]}, u}); } } inline void ansSet(int n, int u) { for (auto v : adj[u]) { if (v.first == n) { ans.push_back(v.second); break; } } while (u != n) { ans.push_back(prt[u][1]); u = prt[u][0]; } } void dfs(int u, int p, int val) { if (!anc[u]) { anc[u] = idx; prt[u][0] = p; prt[u][1] = val; for (auto v : adj[u]) { if (!disc[v.second]) { anc[u] = disc[v.second] = idx++; dfs(v.first, u, v.second); if (anc[v.first] < anc[u]) { ins(u, anc[v.first]); } while (sk.size()) { if (sk.top().first.first >= anc[u]) { if (sk.top().second != -1) { ansSet(u, sk.top().second); } sk.pop(); } else { break; } } } } } } int main() { cin >> n >> m; for (int i = 0; i < n; i++) { adj.push_back(vector<pair<int, int> >()); } for (int i = 1; i <= m; i++) { int a, b; cin >> a >> b; adj[a - 1].push_back({b - 1, i}); adj[b - 1].push_back({a - 1, i}); } for (int i = 0; i < n; i++) { dfs(i, -1, -1); } cout << ans.size() << "\n"; sort(ans.begin(), ans.end()); for (int i = 0; i < ans.size(); i++) { cout << ans[i]; if (i < ans.size() - 1) { cout << " "; } } cout << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 1.1e5; const int MAXM = 1.1e5; int N, M; struct edge_t { int c[2]; int other(int a) { assert(a == c[0] || a == c[1]); return a ^ c[0] ^ c[1]; } } E[MAXM]; int last[MAXN]; int pred[MAXM * 2]; int ind[MAXM * 2]; int tot = 0; void addEdge(int a, int e) { pred[tot] = last[a]; ind[tot] = e; last[a] = tot; tot++; } int disc[MAXN]; int lowVal[MAXN]; int curInd = 0; vector<int> st; bool vis[MAXN]; vector<int> ans; void process(vector<int> bcc) { int cnt = 0; for (int e : bcc) { for (int i = 0; i < 2; i++) { if (!vis[E[e].c[i]]) { vis[E[e].c[i]] = true; cnt++; } } } if (cnt == int(bcc.size())) { for (int e : bcc) { ans.push_back(e + 1); } } for (int e : bcc) { for (int i = 0; i < 2; i++) { vis[E[e].c[i]] = false; cnt++; } } } void dfs(int cur, int prvE) { assert(!disc[cur]); curInd++; disc[cur] = curInd; lowVal[cur] = disc[cur]; int children = 0; for (int z = last[cur]; z != -1; z = pred[z]) { int e = ind[z]; if (e == prvE) continue; int nxt = E[e].other(cur); if (!disc[nxt]) { st.push_back(e); children++; dfs(nxt, e); lowVal[cur] = min(lowVal[cur], lowVal[nxt]); if ((disc[cur] == 1 && children > 1) || (disc[cur] != 1 && disc[cur] <= lowVal[nxt])) { vector<int> bcc; int lastE; do { lastE = st.back(); st.pop_back(); bcc.push_back(lastE); } while (lastE != e); process(bcc); } } else if (disc[nxt] < disc[cur]) { st.push_back(e); lowVal[cur] = min(lowVal[cur], disc[nxt]); } } } int main() { ios::sync_with_stdio(0), cin.tie(0); cin >> N >> M; for (int i = 1; i <= N; i++) { last[i] = -1; } for (int e = 0; e < M; e++) { cin >> E[e].c[0] >> E[e].c[1]; addEdge(E[e].c[0], e); addEdge(E[e].c[1], e); } for (int i = 1; i <= N; i++) { if (!disc[i]) { dfs(i, -1); } } if (!st.empty()) { process(st); } cout << ans.size() << '\n'; sort(ans.begin(), ans.end()); for (int e : ans) { cout << e << ' '; } cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 200000 + 5, maxm = 200000 + 5; int n, m; struct Edge { int u, v, idx, nxt; Edge(int u = 0, int v = 0) : u(u), v(v) {} bool operator==(const Edge& rhs) const { return u == rhs.u && v == rhs.v; } } edge[maxm]; int head[maxn], top; int stamp, dfn[maxn], low[maxn], belong[maxn], bccno, bccsz[maxn]; bool iscut[maxn], vis[maxm]; stack<Edge> st; vector<int> bcc[maxn]; void init() { memset(head, -1, sizeof(head)); memset(dfn, 0, sizeof(dfn)); memset(low, 0, sizeof(low)); memset(iscut, 0, sizeof(iscut)); memset(belong, 0, sizeof(belong)); memset(bccsz, 0, sizeof(bccsz)); memset(vis, 0, sizeof(vis)); top = 0; stamp = 0; bccno = 0; while (!st.empty()) st.pop(); } void addedge(int u, int v, int idx) { edge[top].u = u; edge[top].v = v; edge[top].idx = idx; edge[top].nxt = head[u]; head[u] = top++; edge[top].u = v; edge[top].v = u; edge[top].idx = idx; edge[top].nxt = head[v]; head[v] = top++; } void tarjan(int u, int fa) { dfn[u] = low[u] = ++stamp; int child = 0; for (int i = head[u]; i != -1; i = edge[i].nxt) { int v = edge[i].v, cidx = edge[i].idx; if (v == fa) continue; if (!dfn[v]) { st.push(edge[i]); child++; tarjan(v, u); if (low[v] < low[u]) low[u] = low[v]; if (low[v] >= dfn[u]) { iscut[u] = 1; bcc[++bccno].clear(); do { int uu = st.top().u, vv = st.top().v, idx = st.top().idx; if (belong[uu] != bccno) belong[uu] = bccno, bccsz[bccno]++; if (belong[vv] != bccno) belong[vv] = bccno, bccsz[bccno]++; bcc[bccno].push_back(idx); if (idx == cidx) { st.pop(); break; } st.pop(); } while (!st.empty()); } } else if (dfn[v] < dfn[u]) { st.push(edge[i]); if (dfn[v] < low[u]) low[u] = dfn[v]; } } if (u == fa && child <= 1) iscut[u] = 0; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout.tie(0); init(); cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v; cin >> u >> v; addedge(u, v, i); } for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, i); vector<int> ans; for (int i = 1; i <= bccno; i++) { if (bcc[i].size() == bccsz[i]) { ans.insert(ans.end(), bcc[i].begin(), bcc[i].end()); } } sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (int i = 0; i < ans.size(); i++) { cout << ans[i] << ' '; } cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; using pii = pair<int, int>; using vi = vector<int>; int n, m; vector<vector<pii> > ed; int Time; vi num, st; template <class F> int dfs(int at, int par, F f) { int me = num[at] = ++Time, e, y, top = me; for (auto& pa : ed[at]) if (pa.second != par) { tie(y, e) = pa; if (num[y]) { top = min(top, num[y]); if (num[y] < me) st.push_back(e); } else { int si = st.size(); int up = dfs(y, e, f); top = min(top, up); if (up == me) { st.push_back(e); f(vi(st.begin() + si, st.end())); st.resize(si); } else if (up < me) st.push_back(e); } } return top; } template <class F> void bicomps(F f) { num.assign(ed.size(), 0); for (int i = 0; i < n; ++i) if (!num[i]) dfs(i, -1, f); } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); scanf("%d %d", &n, &m); ed.resize(n); vector<pii> edges(m); int u, v; for (int i = 0; i < m; ++i) { scanf("%d %d", &u, &v); --u; --v; ed[u].emplace_back(v, i); ed[v].emplace_back(u, i); edges[i] = {u, v}; } vi valid; bicomps([&](const vi& edgelist) { vi verts; for (int x : edgelist) { verts.push_back(edges[x].first); verts.push_back(edges[x].second); } sort(begin(verts), end(verts)); verts.resize(unique(begin(verts), end(verts)) - begin(verts)); int num_verts = verts.size(); int num_edges = edgelist.size(); if (num_verts == num_edges) { for (int x : edgelist) valid.push_back(x); } }); sort(begin(valid), end(valid)); printf("%lu\n", valid.size()); for (int x : valid) printf("%d ", x + 1); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 200005; int n, m; int deg[MAXN]; vector<pair<int, int>> graph[MAXN]; int up[MAXN], visit[MAXN], vtime; vector<tuple<int, int, int>> stk; int bcc_cnt; set<int> bccverts[MAXN]; set<int> bccedges[MAXN]; void dfs(int nod, int par_edge) { up[nod] = visit[nod] = ++vtime; int child = 0; for (const auto& e : graph[nod]) { int next = e.first, edge_id = e.second; if (edge_id == par_edge) continue; if (visit[next] == 0) { stk.emplace_back(nod, next, edge_id); ++child; dfs(next, edge_id); if ((par_edge == -1 && child > 1) || (par_edge != -1 && up[next] >= visit[nod])) { ++bcc_cnt; do { int lastnod, lastnext, lasteid; tie(lastnod, lastnext, lasteid) = stk.back(); stk.pop_back(); bccverts[bcc_cnt].insert(lastnext); bccedges[bcc_cnt].insert(lasteid); if (lastnod == nod && lastnext == next) break; } while (!stk.empty()); bccverts[bcc_cnt].insert(nod); } up[nod] = min(up[nod], up[next]); } else { if (visit[next] <= visit[nod]) { stk.emplace_back(nod, next, edge_id); } up[nod] = min(up[nod], visit[next]); } } } void get_bcc() { vtime = 0; memset(visit, 0, sizeof(visit)); bcc_cnt = 0; for (int i = 1; i <= n; ++i) { if (visit[i] == 0) { dfs(i, -1); if (!stk.empty()) { ++bcc_cnt; do { int lastnod, lastnext, lasteid; tie(lastnod, lastnext, lasteid) = stk.back(); stk.pop_back(); bccverts[bcc_cnt].insert(lastnext); bccedges[bcc_cnt].insert(lasteid); } while (!stk.empty()); bccverts[bcc_cnt].insert(i); } } } } void proc() { cin >> n >> m; for (int i = 1; i <= m; ++i) { int a, b; cin >> a >> b; deg[a] += 1; deg[b] += 1; graph[a].emplace_back(b, i); graph[b].emplace_back(a, i); } get_bcc(); vector<int> ans; for (int i = 1; i <= bcc_cnt; ++i) { if (bccverts[i].size() == bccedges[i].size()) { for (int e : bccedges[i]) ans.push_back(e); } } sort(ans.begin(), ans.end()); cout << ans.size() << '\n'; for (int e : ans) cout << e << ' '; cout << '\n'; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); proc(); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 10; struct Edge { int u, v, next, id; } e[N]; vector<int> ans; int dfn[N], low[N], stck[N], instack[N], head[N], mark[N]; int scnt, ecnt, m, n, tot, top; void add_edge(int u, int v, int id) { e[ecnt].u = u; e[ecnt].v = v; e[ecnt].id = id; e[ecnt].next = head[u]; head[u] = ecnt++; } void dfs(int u, int fa) { dfn[u] = low[u] = ++tot; for (int i = head[u]; i >= 0; i = e[i].next) { int v = e[i].v; if (v == fa) continue; if (mark[i]) continue; mark[i] = mark[i ^ 1] = 1; stck[++top] = i; if (!dfn[v]) { dfs(v, u); low[u] = min(low[u], low[v]); if (dfn[u] <= low[v]) { set<int> e_set; set<int> v_set; v_set.insert(u); int x; do { x = stck[top--]; e_set.insert(e[x].id); v_set.insert(e[x].v); } while (x != i); if (e_set.size() == v_set.size()) for (set<int>::iterator it = e_set.begin(); it != e_set.end(); it++) ans.push_back(*it); } } else low[u] = min(low[u], dfn[v]); } } int main() { memset(head, -1, sizeof(head)); scanf("%d %d", &m, &n); for (int i = 1; i <= n; i++) { int u, v; scanf("%d %d", &u, &v); add_edge(u, v, i); add_edge(v, u, i); } for (int i = 1; i <= m; i++) { if (!dfn[i]) dfs(i, i); } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) printf("%d ", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; map<pair<int, int>, int> idx; void biconnected_components(vector<vector<int>> &graph) { int N = graph.size(); vector<int> num(N), low(N), art(N), stk; vector<vector<pair<int, int>>> bcc; vector<set<int>> bccv; int bccnum = 0; vector<vector<int>> comps; stack<pair<int, int>> s; function<void(int, int, int &)> dfs = [&](int u, int p, int &t) { num[u] = low[u] = ++t; stk.push_back(u); for (int v : graph[u]) if (v != p) { if (!num[v]) { s.emplace(v, u); dfs(v, u, t); low[u] = min(low[u], low[v]); if (low[v] >= num[u]) { art[u] = (num[u] > 1 || num[v] > 2); comps.push_back({u}); while (comps.back().back() != v) { comps.back().push_back(stk.back()), stk.pop_back(); } bcc.push_back(vector<pair<int, int>>()); bccv.push_back(set<int>()); while (1) { auto p = s.top(); s.pop(); bcc[bccnum].push_back(p); bccv[bccnum].insert(p.first); bccv[bccnum].insert(p.second); if (p.first == v && p.second == u) break; } ++bccnum; } } else if (num[v] < num[u]) { low[u] = min(low[u], num[v]); s.emplace(v, u); } } }; int t; for (int i = 0; i < N; i++) if (!num[i]) dfs(i, -1, t = 0); set<int> res; for (int i = 0; i < bcc.size(); i++) { if (bcc[i].size() == bccv[i].size()) { for (auto &x : bcc[i]) res.insert(idx[x]); } } cout << res.size() << '\n'; for (auto &x : res) cout << x + 1 << ' '; if (res.size()) cout << '\n'; } vector<vector<int>> graph; int main() { int N, M; scanf("%d %d", &N, &M); graph.assign(N, vector<int>()); for (int i = 0; i < M; i++) { int u, v; scanf("%d %d", &u, &v); u--; v--; graph[u].push_back(v); graph[v].push_back(u); idx[pair<int, int>(u, v)] = i; idx[pair<int, int>(v, u)] = i; } biconnected_components(graph); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m, tot, num, dfn[100010], low[100010], a[100010]; int cnt = 1, head[100010], to[200010], nxt[200010]; bool used[100010], vis[100010]; vector<int> v[100010]; stack<int> q, st; void add(int x, int y) { cnt++; to[cnt] = y; nxt[cnt] = head[x]; head[x] = cnt; } void tarjan(int x) { tot++; dfn[x] = low[x] = tot; st.push(x); for (int i = head[x]; i; i = nxt[i]) { if (vis[i >> 1]) { continue; } int y = to[i]; q.push(i >> 1); vis[i >> 1] = true; if (!dfn[y]) { tarjan(y); low[x] = min(low[x], low[y]); if (dfn[x] > low[y]) { continue; } num++; int z; do { z = st.top(); st.pop(); a[num]++; } while (z != y); a[num]++; do { z = q.top(); q.pop(); v[num].push_back(z); } while (z != (i >> 1)); } else { low[x] = min(low[x], dfn[y]); } } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int x, y; scanf("%d%d", &x, &y); add(x, y); add(y, x); } for (int i = 1; i <= n; i++) { if (!dfn[i]) { tarjan(i); st.pop(); } } int ans = 0; for (int i = 1; i <= num; i++) { if (a[i] != (int)v[i].size()) { continue; } ans += a[i]; for (int j = 0; j < a[i]; j++) { used[v[i][j]] = true; } } printf("%d\n", ans); for (int i = 1; i <= m; i++) { if (used[i]) { printf("%d ", i); } } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 5; int readint() { int x = 0, f = 1; char s = getchar(); while (s < '0' || s > '9') { if (s == '-') f = -1; (s = getchar()); } while (s >= '0' && s <= '9') { x = (x << 3) + (x << 1) + (s ^ 48); (s = getchar()); } return x * f; } struct edge { int v, nxt, id; edge(){}; edge(int V, int N, int I) { v = V; nxt = N; id = I; } } e[maxn << 1]; int head[maxn], edge_cnt = -1; void addedge(int u, int v, int ind) { e[++edge_cnt] = edge(v, head[u], ind); head[u] = edge_cnt; e[++edge_cnt] = edge(u, head[v], ind); head[v] = edge_cnt; } int dfn_cnt, dfn[maxn], low[maxn]; stack<int> st; bool vis[maxn << 1]; vector<int> ans; void tarjan(int u, int fa) { dfn[u] = low[u] = ++dfn_cnt; for (int i = head[u]; ~i; i = e[i].nxt) { int v = e[i].v; if (v == fa) continue; if (vis[i]) continue; vis[i] = vis[i ^ 1] = 1; st.push(i); if (!dfn[v]) { tarjan(v, u); low[u] = min(low[u], low[v]); if (dfn[u] <= low[v]) { set<int> tmp_ver_set; set<int> tmp_edge_set; tmp_ver_set.insert(u); int x; do { x = st.top(); st.pop(); tmp_edge_set.insert(e[x].id); tmp_ver_set.insert(e[x].v); } while (x != i); if (tmp_edge_set.size() == tmp_ver_set.size()) for (set<int>::iterator it = tmp_edge_set.begin(); it != tmp_edge_set.end(); it++) ans.push_back(*it); } } else { low[u] = min(low[u], dfn[v]); } } } int main() { memset(head, -1, sizeof(head)); int n = readint(), m = readint(); for (int i = 1; i <= m; i++) { int u = readint(), v = readint(); addedge(u, v, i); } for (int i = 1; i <= n; i++) { if (!dfn[i]) { tarjan(i, i); } } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) { printf("%d ", ans[i]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100001, M = 100001; vector<pair<int, int> > g[N]; bool vis[N]; vector<int> vbel[N]; int dfn[N], low[N], ebel[N], dfc, vbcc; int dfs_vbcc(int u, int f) { static int s[N + M], t; s[++t] = u; dfn[u] = low[u] = ++dfc; for (pair<int, int> p : g[u]) { int v = p.first, i = p.second, z = t; if (vis[i]) continue; vis[i] = 1; s[++t] = -i; if (!dfn[v]) { low[u] = min(low[u], dfs_vbcc(v, i)); if (dfn[u] <= low[v]) { for (++vbcc; t > z; --t) { if (s[t] > 0) vbel[s[t]].push_back(vbcc); else ebel[-s[t]] = vbcc; } vbel[u].push_back(vbcc); } } else low[u] = min(low[u], dfn[v]); } if (f == 0) t--; return low[u]; } void tarjan_vbcc(int n, int m) { dfc = vbcc = 0; fill_n(vis + 1, m, 0); fill_n(ebel + 1, m, 0); fill_n(dfn + 1, n, 0); for (int u = 1; u <= n; ++u) vbel[u].resize(0); for (int u = 1; u <= n; ++u) if (!dfn[u]) dfs_vbcc(u, 0); } int ew[N], vcnt[N], ecnt[N]; vector<int> ansv[N]; int main(void) { ios::sync_with_stdio(0); cin.tie(0); int n, m; cin >> n >> m; for (int i = 1; i <= m; ++i) { int u, v; cin >> u >> v; g[u].emplace_back(v, i); g[v].emplace_back(u, i); } tarjan_vbcc(n, m); for (int i = 1; i <= n; ++i) for (int b : vbel[i]) vcnt[b]++; for (int i = 1; i <= m; ++i) ecnt[ebel[i]]++, ansv[ebel[i]].push_back(i); vector<int> ans; ans.reserve(m); for (int i = 1; i <= vbcc; ++i) if (vcnt[i] == ecnt[i]) ans.insert(ans.end(), ansv[i].begin(), ansv[i].end()); sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (int ei : ans) cout << ei << ' '; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 10; vector<int> v[maxn]; bool vis[maxn]; int pre[maxn], low[maxn]; int ile[maxn]; int deg[maxn]; set<pair<pair<int, int>, int> > zbior; stack<int> stos; stack<pair<int, int> > stosE; int nr; vector<int> res; void checkbc(vector<int> &v, vector<pair<int, int> > &e) { for (int b : v) deg[b] = 0; for (pair<int, int> x : e) { deg[x.first]++; deg[x.second]++; } for (int b : v) { if (deg[b] != 2) return; } for (pair<int, int> x : e) { auto it = zbior.upper_bound({{x.first, x.second}, 0}); res.push_back(it->second); } } void dfs(int a, int p) { vis[a] = true; pre[a] = nr++; int res = pre[a]; bool czy = true; for (int b : v[a]) { if (b == p) continue; if (vis[b] == false) { stos.push(a); stosE.push({a, b}); dfs(b, a); if (low[b] >= pre[a]) { vector<int> v; vector<pair<int, int> > e; while (true) { int c = stos.top(); stos.pop(); v.push_back(c); if (c == a) break; } while (true) { pair<int, int> c = stosE.top(); stosE.pop(); e.push_back(c); if (c.first == a && c.second == b) break; } checkbc(v, e); } else czy = false; res = min(res, low[b]); } else res = min(res, pre[b]); if (pre[b] < pre[a]) stosE.push({a, b}); } low[a] = res; if (czy) stos.push(a); } int main() { ios_base::sync_with_stdio(0); int n, m; cin >> n >> m; for (int i = 0; i < m; i++) { int a, b; cin >> a >> b; v[a].push_back(b); v[b].push_back(a); zbior.insert({{a, b}, i + 1}); zbior.insert({{b, a}, i + 1}); } for (int i = 1; i <= n; i++) { if (vis[i] == false) { dfs(i, 0); } } cout << res.size() << "\n"; sort(res.begin(), res.end()); for (int b : res) cout << b << " "; cout << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; using ll = long long; using ld = long double; const int MAXN = 1e6 + 5, inf = 1e9; const ll INF = 1e18; const ld PI = 3.1415926535897932384626433832795; int BC[MAXN], sz[MAXN], low[MAXN], pre[MAXN], num = 1, tim; bool vis[MAXN], used[MAXN]; pair<int, int> E[MAXN]; vector<pair<int, int>> G[MAXN]; stack<int> St; set<int> S[MAXN]; void dfs(int v, int p) { vis[v] = 1, pre[v] = tim++, low[v] = pre[v]; for (auto e : G[v]) { int u = e.first, id = e.second; if (u == p) continue; if (!used[id]) { St.push(id); used[id] = 1; } if (!vis[u]) { dfs(u, v); low[v] = min(low[v], low[u]); if (low[u] >= pre[v]) { int x = St.top(); while (x != id) { BC[x] = num; St.pop(); x = St.top(); } BC[x] = num++; St.pop(); } } else low[v] = min(low[v], pre[u]); } } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout << setprecision(13) << fixed; int n, m; cin >> n >> m; for (int i = 0; i < m; i++) { int a, b; cin >> a >> b; G[a].push_back({b, i}); G[b].push_back({a, i}); E[i] = {a, b}; } for (int i = 1; i <= n; i++) { if (!low[i]) dfs(i, i); } for (int i = 0; i < m; i++) { sz[BC[i]]++; S[BC[i]].insert({E[i].first}); S[BC[i]].insert({E[i].second}); } for (int i = 1; i < num; i++) { if (S[i].size() == sz[i]) { S[0].insert(i); } } vector<int> res; for (int i = 0; i < m; i++) { if (S[0].find(BC[i]) == S[0].end()) continue; res.push_back(i + 1); } cout << res.size() << "\n"; for (int i : res) cout << i << " "; cout << "\n"; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5, LOG = 17; int par[N][LOG], mx[N][LOG], U[N], V[N], h[N], mark[N], val[N]; map<int, int> id[N]; vector<int> g[N]; int dfs(int v, int p) { mark[v] = 1, h[v] = h[p] + 1; for (int u : g[v]) if (u != p) { if (!mark[u]) val[v] += dfs(u, v); else if (mark[u] != 2) val[v]++, val[u]--; } par[v][0] = p, mx[v][0] = val[v]; for (int i = 1; i < LOG; i++) par[v][i] = par[par[v][i - 1]][i - 1], mx[v][i] = max(mx[v][i - 1], mx[par[v][i - 1]][i - 1]); mark[v] = 2; return val[v]; } int getmax(int v, int height) { int res = 0; for (int i = 0; height; height >>= 1, i++) if (height & 1) res = max(res, mx[v][i]), v = par[v][i]; return res; } int main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); int n, m; cin >> n >> m; for (int i = 0; i < m; i++) { cin >> U[i] >> V[i]; g[U[i]].push_back(V[i]), g[V[i]].push_back(U[i]); id[U[i]][V[i]] = id[V[i]][U[i]] = i; } for (int i = 1; i <= n; i++) if (!mark[i]) dfs(i, i); for (int i = 1; i < LOG; i++) { for (int v = 1; v <= n; v++) par[v][i] = par[par[v][i - 1]][i - 1], mx[v][i] = max(mx[v][i - 1], mx[par[v][i - 1]][i - 1]); } vector<int> ans; for (int i = 0; i < m; i++) { int u = U[i], v = V[i]; if (h[u] > h[v]) swap(u, v); if (h[v] - h[u] == 1) continue; if (getmax(v, h[v] - h[u]) != 1) continue; ans.push_back(i + 1); while (v != u) ans.push_back(id[v][par[v][0]] + 1), v = par[v][0]; } sort(ans.begin(), ans.end()); cout << ans.size() << "\n"; for (int i : ans) cout << i << " "; cout << "\n"; return 0; }
#include <bits/stdc++.h> using namespace std; const long long int MOD = 1000000007; const long long BIG = 1446803456761533460; const int Big = 336860180; stringstream sss; const long long int maxn = 100010; const long long int maxnlg = 18; long long int n, m; vector<pair<long long int, long long int> > g[maxn]; long long int pars[maxnlg][maxn], be[maxnlg][maxn], edown[maxn], ht[maxn], invalid[maxn]; long long int vis[maxn]; void dfs1(long long int x, long long int par) { vis[x] = 1; for (auto y : g[x]) { long long int v, e; tie(v, e) = y; if (!vis[v]) { edown[e] = v; ht[v] = ht[x] + 1; dfs1(v, x); be[0][x] += be[0][v]; } else if (v != par && ht[v] < ht[x]) { edown[e] = x; ++be[0][x]; --be[0][v]; } } } long long int get_max(long long int a, long long int b) { long long int dh = ht[a] - ht[b]; long long int mx = 0; for (long long int i = (0); i < (maxnlg); ++i) { if (dh >> i & 1) mx = max(mx, (be[i][a])), a = pars[i][a]; } return mx; } void dfs2(long long int x, long long int par) { vis[x] = 2; pars[0][x] = par; for (long long int i = (0); i < (maxnlg - 1); ++i) { pars[i + 1][x] = pars[i][pars[i][x]]; be[i + 1][x] = max(be[i][x], be[i][pars[i][x]]); } for (auto y : g[x]) { long long int v, e; tie(v, e) = y; if (vis[v] == 1) { dfs2(v, x); invalid[x] += invalid[v]; } else if (v != par && ht[v] < ht[x]) { if (get_max(x, v) > 1) { ++invalid[x]; --invalid[v]; } } } } void MAIN() { cin >> n >> m; for (long long int i = (0); i < (m); ++i) { long long int a, b; cin >> a >> b; --a, --b; g[a].emplace_back(b, i), g[b].emplace_back(a, i); } for (long long int i = (0); i < (n); ++i) { if (vis[i] == 0) { dfs1(i, i); dfs2(i, i); } } vector<long long int> res; for (long long int i = (0); i < (m); ++i) { if (!invalid[edown[i]] && be[0][edown[i]] == 1) res.emplace_back(i); } cout << res.size() << '\n'; for (auto e : res) cout << e + 1 << ' '; cout << '\n'; } int main() { ios_base::sync_with_stdio(false), cin.tie(0), cout.tie(0); cout << fixed << setprecision(10); sss << R"( 5 6 1 2 2 3 2 4 4 3 2 5 5 3 6 7 2 3 3 4 4 2 1 2 1 5 5 6 6 1 )"; MAIN(); return 0; }
#include <bits/stdc++.h> using namespace std; class Scanner { private: static const int BUFFER_SIZE = 10000; char buff[BUFFER_SIZE]; int buffPos, buffLim; public: Scanner() { buffLim = fread(buff, 1, BUFFER_SIZE, stdin); buffPos = 0; } private: inline void flushBuff() { buffLim = fread(buff, 1, BUFFER_SIZE, stdin); if (buffLim == 0) { buff[buffLim++] = '\n'; } buffPos = 0; } inline bool isWS(char t) { return t == ' ' || t == '\n'; } inline bool isDig(char t) { return t >= '0' && t <= '9'; } void nextPos() { buffPos++; if (buffPos == buffLim) { flushBuff(); } } public: inline char getchar() { char ch = buff[buffPos]; nextPos(); return ch; } inline void next(char* s) { while (isWS(buff[buffPos])) { nextPos(); } while (!isWS(buff[buffPos])) { *s = buff[buffPos]; s++; nextPos(); } *s = '\0'; } inline void nextLine(char* s) { while (buff[buffPos] != '\n') { nextPos(); } if (buff[buffPos] == '\n') { nextPos(); } while (buff[buffPos] != '\n') { *s = buff[buffPos]; s++; buffPos++; } *s = '\0'; } inline int nextInt() { while (!isDig(buff[buffPos]) && buff[buffPos] != '-') { nextPos(); } int sign = (buff[buffPos] == '-') ? nextPos(), -1 : 1; int res = 0; while (isDig(buff[buffPos])) { res = res * 10 + buff[buffPos] - '0'; nextPos(); } return res * sign; } inline double nextDouble() { while (isWS(buff[buffPos])) { nextPos(); } int sign = (buff[buffPos] == '-') ? nextPos(), -1 : 1; double res = 0; while (isDig(buff[buffPos])) { res = res * 10 + buff[buffPos] - '0'; nextPos(); } if (buff[buffPos] == '.') { nextPos(); double ep = 1; while (isDig(buff[buffPos])) { ep *= 0.1; res += ep * (buff[buffPos] - '0'); nextPos(); } } return sign * res; } inline char nextChar() { while (isWS(buff[buffPos])) nextPos(); char res = buff[buffPos]; nextPos(); return res; } }; Scanner sc; template <class T> inline bool checkMin(T& a, T b) { return (a > b ? a = b, 1 : 0); } template <class T> inline bool checkMax(T& a, T b) { return (a < b ? a = b, 1 : 0); } void ALERT(bool judgememt, const char* phrase) { if (judgememt) { puts(phrase); throw "ALERT"; } } bool alert(bool judgememt, const char* phrase) { if (judgememt) puts(phrase); return judgememt; } void preInit(); void init(); void solve(); int32_t main() { preInit(); init(); solve(); return 0; } const int N = 100005; struct Tree { int ef[N], en[N * 2], ev[N * 2], ei[N * 2], ec; Tree() { ec = 0; memset(ef, -1, sizeof(ef)); memset(en, -1, sizeof(en)); } void addEdge(int u, int v, int id) { ; en[ec] = ef[u]; ef[u] = ec; ev[ec] = v; ei[ec] = id; ec++; en[ec] = ef[v]; ef[v] = ec; ev[ec] = u; ei[ec] = id; ec++; } }; int n, m; struct Tree2 : public Tree { int low[N], dfn[N], dfnCnt; stack<int> st; vector<vector<int>> bar; void dfs(int u, int f) { ; dfn[u] = low[u] = ++dfnCnt; for (int e = ef[u]; e != -1; e = en[e]) if (ev[e] != f) { int v = ev[e]; ; if (!dfn[v]) { st.push(ei[e]); dfs(v, u); checkMin(low[u], low[v]); if (low[v] >= dfn[u]) { vector<int> eids; while (st.top() != ei[e]) { eids.push_back(st.top()); st.pop(); } eids.push_back(ei[e]); st.pop(); bar.push_back(eids); } } else if (dfn[v] < dfn[u]) { checkMin(low[u], dfn[v]); st.push(ei[e]); } } } void solve() { for (int i = 1; i <= n; i++) { if (!dfn[i]) { dfs(i, i); } } } } T; int u[N], v[N]; void preInit() {} void init() { n = sc.nextInt(); m = sc.nextInt(); for (int i = 0; i < m; i++) { u[i] = sc.nextInt(), v[i] = sc.nextInt(); T.addEdge(u[i], v[i], i); } } size_t count(vector<int>& uu) { set<int> st; for (int i : uu) { st.insert(u[i]); st.insert(v[i]); } return st.size(); } void solve() { T.solve(); vector<int> ans; for (auto& u : T.bar) { if (u.size() == count(u)) { for (int i : u) { ans.push_back(i); } } } sort(ans.begin(), ans.end()); printf("%d\n", static_cast<int>(ans.size())); for (int u : ans) { printf("%d ", u + 1); } puts(""); }
#include <bits/stdc++.h> using namespace std; struct edge { int a, b, i; } in[2100005]; vector<edge> v[100005]; vector<int> stk; unordered_set<int> bcc[100005], bccedge[100005]; int vis[100005], low[100005], clk, bccclk; bitset<2100005> cnt; void dfs(int x, int p) { vis[x] = low[x] = ++clk; for (auto i : v[x]) if (i.b != p) { if (!vis[i.b]) { stk.push_back(i.i); dfs(i.b, x); low[x] = min(low[x], low[i.b]); if (vis[x] <= low[i.b]) { int a = -1; while (a != i.i) { a = stk.back(); stk.pop_back(); bcc[bccclk].insert(in[a].a); bcc[bccclk].insert(in[a].b); bccedge[bccclk].insert(a); } bccclk++; } } else if (vis[x] > vis[i.b]) { low[x] = min(low[x], vis[i.b]); stk.push_back(i.i); } } } int main() { { cin.tie(0); ios_base::sync_with_stdio(false); }; int n, m; cin >> n >> m; for (int i = 1; i <= m; i++) { cin >> in[i].a >> in[i].b; in[i].i = i; v[in[i].a].push_back({in[i].a, in[i].b, i}); v[in[i].b].push_back({in[i].b, in[i].a, i}); } for (int i = 1; i <= n; i++) if (!vis[i]) dfs(i, i); for (int i = 0; i < bccclk; i++) if (bcc[i].size() == bccedge[i].size()) { for (int j : bccedge[i]) cnt[j] = 1; } cout << cnt.count() << '\n'; for (int i = 1; i <= m; i++) if (cnt[i]) cout << i << ' '; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 7; vector<pair<pair<int, int>, int> > son[N]; vector<int> bcc_node[N], bcc_edge[N], ans; stack<pair<pair<int, int>, int> > s; vector<int> node; int bcc_cnt, belong[N], is_cnt[N], now_time, tin[N], low[N]; void dfs(int o, int fa) { tin[o] = low[o] = ++now_time; int ch = 0; for (int i = 0; i < son[o].size(); ++i) { int v = son[o][i].first.first; if (v == fa) continue; pair<pair<int, int>, int> edge = {{o, v}, son[o][i].second}; if (!tin[v]) { s.push(edge); dfs(v, o); low[o] = min(low[o], low[v]); if (low[v] >= tin[o]) { ch++; is_cnt[o] = true; bcc_node[++bcc_cnt].clear(); bcc_edge[bcc_cnt].clear(); while (true) { pair<pair<int, int>, int> now = s.top(); s.pop(); bcc_edge[bcc_cnt].push_back(now.second); if (belong[now.first.first] != bcc_cnt) { belong[now.first.first] = bcc_cnt; bcc_node[bcc_cnt].push_back(now.first.first); } if (belong[now.first.second] != bcc_cnt) { belong[now.first.second] = bcc_cnt; bcc_node[bcc_cnt].push_back(now.first.second); } if (now.first.first == o && now.first.second == v) break; } } } else if (tin[v] < tin[o]) { s.push(edge); low[o] = min(tin[v], low[o]); } } if (!fa && ch == 1) is_cnt[o] = false; } int main() { int n, m, u, v; cin >> n >> m; for (int i = 1; i <= m; i++) { scanf("%d%d", &u, &v); son[u].push_back({{v, u}, i}); son[v].push_back({{u, v}, i}); } for (int i = 1; i <= n; i++) dfs(i, i); for (int i = 1; i <= bcc_cnt; i++) if (bcc_node[i].size() == bcc_edge[i].size()) { for (auto v : bcc_edge[i]) node.push_back(v); } cout << node.size() << endl; sort(node.begin(), node.end()); for (int i = 0; i < node.size(); i++) cout << node[i] << ' '; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const double eps = 1e-9; const int MAXE = 1.1e5; const int MAXN = MAXE; int ed[MAXE][4]; vector<int> adj[MAXN]; int N, M, D; int dfsnr[MAXN]; int revnr[MAXN]; int mark[MAXN]; int comp[MAXN], C; void dfs(int n, int p = -1) { if (dfsnr[n] != -1) return; revnr[n] = dfsnr[n] = D++; for (auto it : adj[n]) { int to = ed[it][2] ^ n; if (to == p) continue; if (dfsnr[to] == -1) { comp[C++] = it; dfs(to, n); revnr[n] = min(revnr[n], revnr[to]); if (revnr[to] >= dfsnr[n]) { unordered_set<int> cur; while (comp[--C] != it) cur.insert(comp[C]); cur.insert(it); unordered_map<int, int> cnt; for (auto it2 : cur) for (int i = (0); i < (2); i++) cnt[ed[it2][i]] += 1; bool ok = true; for (auto it2 : cnt) if (it2.second != 2) ok = false; if (!ok) for (auto it2 : cur) ed[it2][3] = 1; } } else { if (dfsnr[to] < dfsnr[n]) comp[C++] = it; revnr[n] = min(revnr[n], dfsnr[to]); } } } int main() { if (0 == scanf("%d%d", &N, &M)) { fprintf(stderr, "Could not parse arguments\n"); }; for (int i = (0); i < (M); i++) if (0 == scanf("%d%d", &(ed[i][0]), &(ed[i][1]))) { fprintf(stderr, "Could not parse arguments\n"); }; for (int i = (0); i < (M); i++) ed[i][2] = ed[i][0] ^ ed[i][1]; for (int i = (0); i < (M); i++) ed[i][3] = 0; for (int i = (0); i < (N + 1); i++) adj[i].clear(); for (int i = (0); i < (M); i++) for (int j = (0); j < (2); j++) adj[ed[i][j]].push_back(i); for (int i = (0); i < (N + 1); i++) dfsnr[i] = -1; D = 0; for (int i = (0); i < (N + 1); i++) { C = 0; dfs(i); } int K = 0; for (int i = (0); i < (M); i++) if (ed[i][3] == 0) ++K; printf("%d\n", K); bool first = true; for (int i = (0); i < (M); i++) if (ed[i][3] == 0) { if (first) first = false; else printf(" "); printf("%d", i + 1); } printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; int n, tot = 1, m, tofa[200005], s[200005], tr[200005], f[200005], dep[200005], vis[100005], head[200005], go[200005], nex[200005]; vector<int> ans; void add(int u, int v) { nex[++tot] = head[u]; head[u] = tot; go[tot] = v; } void build(int u, int fa, int dp) { dep[u] = dep[fa] + 1; vis[u] = 1; f[u] = fa; for (int i = head[u]; i; i = nex[i]) { int v = go[i]; if (v == fa || vis[v]) continue; tofa[v] = i; tr[i >> 1] = 1; build(v, u, dp + 1); } } void dfs(int u, int fa) { vis[u] = 1; for (int i = head[u]; i; i = nex[i]) { int v = go[i]; if (v == fa || vis[v]) continue; dfs(v, u); s[u] += s[v]; } } int main() { cin >> n >> m; for (int i = 1; i <= m; i++) { int u, v; scanf("%d%d", &u, &v); add(u, v); add(v, u); } for (int i = 1; i <= n; i++) { if (!vis[i]) build(i, 0, 0); } for (int i = 1; i <= m; i++) { if (!tr[i]) { int u = go[i * 2], v = go[i * 2 + 1]; if (dep[u] < dep[v]) swap(u, v); s[u]++; s[v]--; } } memset(vis, 0, sizeof(vis)); for (int i = 1; i <= n; i++) { if (!vis[i]) { dfs(i, 0); } } for (int i = 1; i <= m; i++) { if (tr[i]) continue; int u = go[i * 2], v = go[i * 2 + 1]; if (dep[u] < dep[v]) swap(u, v); int tmp = u, bj = 0; while (1) { if (tmp == v) break; if (s[tmp] != 1) { bj = 1; break; } tmp = f[tmp]; } if (bj == 0) { ans.push_back(i); while (1) { ans.push_back(tofa[u] >> 1); u = f[u]; if (v == u) break; } } } sort(ans.begin(), ans.end()); cout << ans.size() << "\n"; for (int i = 0; i < ans.size(); i++) { cout << ans[i] << " "; } return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e6 + 10, INF = 0x7fffffff; int n, m; map<int, int> w[maxn]; int pre[maxn], iscut[maxn], bccno[maxn], dfs_clock, bcc_cnt, num[maxn]; vector<int> G[maxn], bcc[maxn]; vector<int> f; vector<int> g[maxn]; struct Edge { int u, v; Edge(int u, int v) : u(u), v(v) {} }; stack<Edge> S; int dfs(int u, int fa) { int lowu = pre[u] = ++dfs_clock; int child = 0; for (int i = 0; i < G[u].size(); i++) { int v = G[u][i]; Edge e = Edge(u, v); if (!pre[v]) { S.push(e); child++; int lowv = dfs(v, u); lowu = min(lowu, lowv); if (lowv >= pre[u]) { iscut[u] = true; bcc_cnt++; bcc[bcc_cnt].clear(); for (;;) { Edge x = S.top(); S.pop(); if (bccno[x.u] != bcc_cnt) { bcc[bcc_cnt].push_back(x.u); bccno[x.u] = bcc_cnt; } if (bccno[x.v] != bcc_cnt) { bcc[bcc_cnt].push_back(x.v); bccno[x.v] = bcc_cnt; } g[bcc_cnt].push_back(w[x.u][x.v]); if (x.u == u && x.v == v) break; } } } else if (pre[v] < pre[u] && v != fa) { S.push(e); lowu = min(lowu, pre[v]); } } if (fa < 0 && child == 1) iscut[u] = 0; return lowu; } void find_bcc() { memset(pre, 0, sizeof(pre)); memset(iscut, 0, sizeof(iscut)); memset(bccno, 0, sizeof(bccno)); dfs_clock = bcc_cnt = 0; for (int i = 1; i <= n; i++) if (!pre[i]) dfs(i, -1); } int main() { int u, v; cin >> n >> m; for (int i = 1; i <= m; i++) { cin >> u >> v; w[u][v] = w[v][u] = i; G[u].push_back(v); G[v].push_back(u); } find_bcc(); for (int i = 1; i <= bcc_cnt; i++) { if (g[i].size() == bcc[i].size()) for (int j = 0; j < g[i].size(); j++) f.push_back(g[i][j]); } sort(f.begin(), f.end()); cout << f.size() << endl; for (int i = 0; i < f.size(); i++) cout << f[i] << " "; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; inline int read() { int k = 0, f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { k = k * 10 + ch - '0'; ch = getchar(); } return k * f; } inline void write(int x) { if (x < 0) putchar('-'), x = -x; if (x > 9) write(x / 10); putchar(x % 10 + '0'); } inline void writeln(int x) { write(x); puts(""); } const int N = 1e5 + 10; int nedge = 0, p[2 * N], nex[2 * N], head[2 * N], n, m; inline void addedge(int a, int b) { p[++nedge] = b; nex[nedge] = head[a]; head[a] = nedge; } bool vis[2 * N]; int cnt = 0, ans = 0, anss[N], st[N], top = 0, Cnt = 0, q[2 * N], b[2 * N], dfn[N], low[N]; inline int fan(int x) { return (x & 1) ? x + 1 : x - 1; } inline void tarjan(int x, int fa) { dfn[x] = low[x] = ++cnt; for (int k = head[x]; k; k = nex[k]) if (p[k] != fa && !vis[k]) { int to = p[k]; st[++top] = k; vis[k] = vis[fan(k)] = 1; if (!dfn[to]) { tarjan(to, x); low[x] = min(low[x], low[to]); if (low[to] >= dfn[x]) { Cnt++; int r, dd = 0, ee = 0; do { r = st[top--]; q[++ee] = r; if (b[p[r]] != Cnt) b[p[r]] = Cnt, dd++; if (b[p[fan(r)]] != Cnt) b[p[fan(r)]] = Cnt, dd++; } while (r != k); if (ee == dd) { for (int i = 1; i <= ee; i++) anss[++ans] = q[i]; } } } else low[x] = min(low[x], dfn[to]); } } int main() { n = read(); m = read(); for (int i = 1; i <= m; i++) { int x = read(), y = read(); addedge(x, y); addedge(y, x); } for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, 0); writeln(ans); sort(anss + 1, anss + ans + 1); for (int i = 1; i <= ans; i++) { if (anss[i] & 1) anss[i]++; anss[i] >>= 1; write(anss[i]), putchar(' '); } return 0; }
#include <bits/stdc++.h> using namespace std; vector<int> ans; int tmp, tp, a, b, u, v, n, m, to[500010], deep[500010], nxt[500010], hd[500010], fa[100010], tofa[500010], num = -1, cf[500010]; bool tree[500010], vis[100010], flag; void add(int u, int v) { nxt[++num] = hd[u], to[num] = v, hd[u] = num; nxt[++num] = hd[v], to[num] = u, hd[v] = num; } void dfs1(int pos, int f, int dp) { fa[pos] = f; vis[pos] = 1; deep[pos] = dp; for (int i = hd[pos]; i != -1; i = nxt[i]) { if (!vis[to[i]]) { tofa[to[i]] = i, tree[i] = 1; dfs1(to[i], pos, dp + 1); } } } void dfs(int pos) { vis[pos] = 1; for (int i = hd[pos]; i != -1; i = nxt[i]) { if (tree[i]) dfs(to[i]), cf[pos] += cf[to[i]]; } } int main() { memset(hd, -1, sizeof hd); memset(nxt, -1, sizeof nxt); scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d%d", &a, &b); add(a, b); } for (int i = 1; i <= n; i++) if (!vis[i]) dfs1(i, 0, 1); for (int i = 0; i <= num; i += 2) { if (tree[i] || tree[i + 1]) continue; else u = to[i], v = to[i + 1]; if (deep[u] < deep[v]) swap(u, v); cf[u]++; cf[v]--; } memset(vis, 0, sizeof vis); for (int i = 1; i <= n; i++) if (!vis[i]) dfs(i); for (int i = 0; i <= num; i += 2) { if (tree[i] || tree[i + 1]) continue; else u = to[i], v = to[i + 1]; if (deep[u] < deep[v]) swap(u, v); flag = 0; tmp = u; for (; fa[tmp] != v; tmp = fa[tmp]) { if (cf[tmp] != 1) { flag = 1; break; } } if (!flag && cf[tmp] == 1) { ans.push_back((i + 2) / 2); while (u != v) { ans.push_back((tofa[u] + 2) / 2); u = fa[u]; } } } sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (int i = 0; i < ans.size(); i++) cout << ans[i] << " "; return 0; }
#include <bits/stdc++.h> using namespace std; int N, M, Q; map<int, int> id[1000005]; vector<int> Adj[1000005]; vector<int> ans; int p[1000005]; int dfn[1000005], tt = 0; int low[1000005]; stack<int> st; int cnt[1000005]; bool cmp(const int& a, const int& b) { return dfn[a] < dfn[b]; } void dfs(int u) { dfn[u] = low[u] = ++tt; st.push(u); int v, x, y; for (int k = 0; k < Adj[u].size(); k++) { v = Adj[u][k]; if (!dfn[v]) { p[v] = u; dfs(v); low[u] = min(low[u], low[v]); if (dfn[u] < low[v]) { st.pop(); } if (dfn[u] == low[v]) { int n = 0; vector<int> vec; vec.push_back(u); while (1) { x = st.top(); st.pop(); vec.push_back(x); n += cnt[x]; if (x == v) break; } if (n == 1) { sort(vec.begin(), vec.end(), cmp); vec.push_back(u); for (int k = 0; k < vec.size() - 1; k++) { x = vec[k]; y = vec[k + 1]; ans.push_back(id[x][y]); } } } } else if (v != p[u]) { if (dfn[v] < dfn[u]) ++cnt[u]; low[u] = min(low[u], dfn[v]); } } } int main() { scanf("%d%d", &N, &M); int u, v; for (int i = 1; i <= M; i++) { scanf("%d%d", &u, &v); Adj[u].push_back(v); Adj[v].push_back(u); id[u][v] = id[v][u] = i; } for (int i = 1; i <= N; i++) { if (!dfn[i]) dfs(i); } sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int k = 0; k < ans.size(); k++) { printf("%d ", ans[k]); } return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 5; int deg[N]; int low[N], dfn[N], timer = 0; vector<int> edges_stack; pair<int, int> edges[N]; set<int> ans; vector<pair<int, int> > adj[N]; bool vis[N]; void process_block(int stop) { if (edges_stack.empty()) return; set<int> nodes; set<int> curr_edges; while (!edges_stack.empty()) { int curr = edges_stack.back(); edges_stack.pop_back(); int u = edges[curr].first; int v = edges[curr].second; nodes.insert(u); nodes.insert(v); vis[u] = vis[v] = 1; if (curr == stop) break; } bool ok = 1; for (int nd : nodes) { for (auto A : adj[nd]) { int v = A.second; int e = A.first; if (vis[v]) { curr_edges.insert(e); deg[nd]++; } } } for (int nd : nodes) { if (deg[nd] != 2) ok = 0; deg[nd] = vis[nd] = 0; } if (ok) { for (int e : curr_edges) ans.insert(e); } } void dfs(int u, int p) { low[u] = dfn[u] = ++timer; int root_children = 0; for (pair<int, int> A : adj[u]) { int v = A.second; int e = A.first; if (!dfn[v]) { root_children++; edges_stack.push_back(e); dfs(v, u); low[u] = min(low[u], low[v]); if ((p != -1 && dfn[u] <= low[v]) || (p == -1 && root_children > 1)) { process_block(e); } } else if (v != p) { if (dfn[v] < low[u]) { low[u] = dfn[v]; edges_stack.push_back(e); } } } } 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); adj[u].push_back({i + 1, v}); adj[v].push_back({i + 1, u}); edges[i + 1] = {u, v}; } for (int i = 1; i <= n; i++) { if (!dfn[i]) { dfs(i, -1); process_block(-1); } } printf("%d\n", ans.size()); for (int A : ans) printf("%d ", A); return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; int par[111111], ht[111111]; int mrg[2222222], po[2222222], up[2222222], dn[2222222]; vector<int> adj[111111]; vector<int> comp[2222222]; map<pair<int, int>, int> mp; void merge(int x, int y) { if (x == y) return; if ((int)comp[x].size() < (int)comp[y].size()) { swap(x, y); } mrg[x] = mrg[y] + mrg[x]; for (int u : comp[y]) { po[u] = x; comp[x].push_back(u); } comp[y].clear(); if (ht[up[x]] > ht[up[y]]) up[x] = up[y]; if (ht[dn[x]] < ht[dn[y]]) dn[x] = dn[y]; } void ride(int st, int nd, int def) { int v = st; while (ht[v] > ht[nd]) { int edg = mp[make_pair(v, par[v])]; int nxt = par[v]; if (po[edg] != 0) { nxt = up[po[edg]]; merge(def, po[edg]); def = po[edg]; } else { po[edg] = def; comp[def].push_back(edg); } v = nxt; } } void dfs(int v, int pa) { par[v] = pa; ht[v] = ht[pa] + 1; for (auto u : adj[v]) { if (u == pa) continue; int edg = mp[make_pair(u, v)]; if (ht[u] == 0) { dfs(u, v); } else if (ht[u] < ht[v]) { po[edg] = edg; dn[edg] = v; up[edg] = u; comp[edg].push_back(edg); mrg[edg] = 1; ride(v, u, edg); } } } int main() { scanf("%d%d", &n, &m); for (int i = 1, q, w; i <= m; i++) { scanf("%d%d", &q, &w); adj[q].push_back(w); adj[w].push_back(q); mp[make_pair(q, w)] = mp[make_pair(w, q)] = i; } for (int v = 1; v <= n; v++) { if (ht[v] == 0) { dfs(v, 0); } } vector<int> res; for (int e = 1; e <= m; e++) { if (mrg[po[e]] == 1) { res.push_back(e); } } printf("%d\n", (int)res.size()); for (auto rs : res) { printf("%d ", rs); } putchar('\n'); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 1e5 + 10; const int maxm = 2e6 + 10; inline int read() { int x = 0, f = 1; char c = getchar(); while (c > '9' || c < '0') { if (c == '-') f = -f; c = getchar(); } while (c >= '0' && c <= '9') x = x * 10 + c - '0', c = getchar(); return x * f; } int cnt, head[maxn], n, m; struct edge { int v, next, id; } edge[maxm << 1]; void add(int u, int v, int id) { edge[cnt].v = v; edge[cnt].id = id; edge[cnt].next = head[u]; head[u] = cnt++; } set<int> ans; pair<int, int> stk[maxm]; int low[maxn], dfn[maxn]; int top, tim, cntbrg, dccnum, rt, dsize[maxn], brg[maxn]; vector<int> dcc[maxn]; bool cut[maxn], vis[maxm << 1]; void init() { cntbrg = dccnum = tim = top = 0; for (int i = 1; i <= n; i++) { head[i] = -1; dfn[i] = low[i] = 0; } } void tarjan(int u, int pre) { dfn[u] = low[u] = ++tim; if (rt == u && head[u] == -1) { dcc[++dccnum].clear(); dcc[dccnum].push_back(u); return; } int cntzs = 0; for (int i = head[u]; i != -1; i = edge[i].next) { int v = edge[i].v, id = edge[i].id; if (vis[id]) continue; vis[id] = 1; stk[++top] = make_pair(v, id); if (!dfn[v]) { tarjan(v, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { if (rt == u && cntzs > 1 || u != rt) cut[u] = 1; dcc[++dccnum].clear(); pair<int, int> w; do { w = stk[top--]; if (brg[w.first] != dccnum) { dsize[dccnum]++; brg[w.first] = dccnum; } dcc[dccnum].push_back(w.second); } while (w.second != id); if (dsize[dccnum] > 1 && dcc[dccnum].size() == dsize[dccnum]) { for (int j = 0; j < dsize[dccnum]; j++) ans.insert(dcc[dccnum][j]); } } } else if (v != pre) low[u] = min(low[u], dfn[v]); } } int main() { n = read(), m = read(); init(); for (int i = 1; i <= m; i++) { int u = read(), v = read(); add(u, v, i); add(v, u, i); } for (int i = 1; i <= n; i++) { if (!dfn[i]) tarjan(i, i); } printf("%d\n", ans.size()); for (auto it = ans.begin(); it != ans.end();) { printf("%d ", *it++); } puts(""); }
#include <bits/stdc++.h> using namespace std; const int N = 1e5 + 1; const int M = N << 1 | 1; char O[1 << 14], *S = O, *T = O; inline int read() { int x = 0, f = 1; char ch = (S == T && (T = (S = O) + fread(O, 1, 1 << 14, stdin), S == T) ? -1 : *S++); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = (S == T && (T = (S = O) + fread(O, 1, 1 << 14, stdin), S == T) ? -1 : *S++); } while (ch >= '0' && ch <= '9') { x = (x << 1) + (x << 3) + (ch ^ 48); ch = (S == T && (T = (S = O) + fread(O, 1, 1 << 14, stdin), S == T) ? -1 : *S++); } return x * f; } struct edge { int y, nxt; } e[M]; int li[N]; inline void add(int u, int v) { static int top = 0; e[++top] = (edge){v, li[u]}; li[u] = top; e[++top] = (edge){u, li[v]}; li[v] = top; } int dfn[N], low[N], clk, bccno[N], bcccnt, top, stk[M]; int ck[M], ans[M], ckt, anst; void dfs(int u, int fa) { dfn[u] = low[u] = ++clk; for (int t = li[u]; t; t = e[t].nxt) { int v = e[t].y; if (v == fa) continue; if (!dfn[v]) { stk[top++] = t; dfs(v, u); low[u] = min(low[v], low[u]); if (low[v] >= dfn[u]) { bcccnt++; bool ok = 1; ckt = 0; while (1) { int x = stk[--top]; ck[ckt++] = ((x + 1) >> 1); if (bccno[e[x].y] != bcccnt) bccno[e[x].y] = bcccnt; else ok = 0; if (x == t) break; } if (ok && ckt > 1) for (int i = 0; i < ckt; ++i) ans[anst++] = ck[i]; } } else if (dfn[v] < dfn[u]) { low[u] = min(dfn[v], low[u]); stk[top++] = t; } } } int main() { int n = read(), m = read(); for (int i = 0; i < m; ++i) { int u = read(), v = read(); add(u, v); } for (int i = 1; i <= n; ++i) if (!dfn[i]) dfs(i, -1); sort(ans, ans + anst); printf("%d\n", anst); for (int i = 0; i < anst; ++i) printf("%d ", ans[i]); return 0 * putchar(10); }
#include <bits/stdc++.h> using namespace std; const double pai = acos(-1); const double eps = 1e-10; const long long mod = 1e9 + 7; const int MXN = 1e6 + 5; vector<pair<int, int> > g[MXN]; vector<int> bcc_arc[MXN]; vector<int> bcc[MXN]; int dfn[MXN]; int iscut[MXN]; int dfs_clock; int bcc_clock; int bccno[MXN]; struct no { int x, y, p; }; stack<no> sk; int tarjan(int u, int fa) { int lowu = dfn[u] = ++dfs_clock; int child = 0; for (int i = 0; i < (int)g[u].size(); i++) { int to = g[u][i].first, num = g[u][i].second; no E = no{u, to, num}; if (!dfn[to]) { sk.push(E); child++; int lowv = tarjan(to, u); lowu = min(lowu, lowv); if (lowv >= dfn[u]) { bcc_clock++; iscut[u] = 1; while (1) { no now = sk.top(); sk.pop(); bcc_arc[bcc_clock].push_back(now.p); if (bccno[now.x] != bcc_clock) { bcc[bcc_clock].push_back(now.x); bccno[now.x] = bcc_clock; } if (bccno[now.y] != bcc_clock) { bcc[bcc_clock].push_back(now.y); bccno[now.y] = bcc_clock; } if (now.x == u && now.y == to) break; } } } else if (to != fa && dfn[to] < dfn[u]) { lowu = min(lowu, dfn[to]); sk.push(E); } } if (fa < 0 && child == 1) iscut[u] = 0; return lowu; } void bccGet(int n) { for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, -1); } int main() { int n, m; cin >> n >> m; for (int i = 1; i <= m; i++) { int sa, sb; scanf("%d %d", &sa, &sb); g[sa].push_back(make_pair(sb, i)); g[sb].push_back(make_pair(sa, i)); } bccGet(n); vector<int> ans; for (int i = 1; i <= bcc_clock; i++) { if ((int)bcc[i].size() != (int)bcc_arc[i].size()) continue; for (int j = 0; j < (int)bcc_arc[i].size(); j++) { ans.push_back(bcc_arc[i][j]); } } sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (int i = 0; i < (int)ans.size(); i++) cout << ans[i] << ' '; return 0; }
#include <bits/stdc++.h> int elist[200000]; bool vis[100000]; bool evis[100000]; int pre[100000]; int pre_max = 0; int low[100000]; std::vector<int> adj[100000]; std::vector<int> treee[100000]; std::vector<int> backe[100000]; int bcc[100000]; int nbccs = 0; int extra[100000]; void dfs0(int node) { if (vis[node]) return; vis[node] = true; low[node] = pre[node] = pre_max++; for (int e : adj[node]) { if (evis[e >> 1]) continue; evis[e >> 1] = true; if (vis[elist[e ^ 1]]) { backe[node].push_back(e); } else { treee[node].push_back(e); dfs0(elist[e ^ 1]); } } for (int e : treee[node]) { low[node] = std::min(low[node], low[elist[e ^ 1]]); } for (int e : backe[node]) { low[node] = std::min(low[node], pre[elist[e ^ 1]]); } } std::vector<int> stk; void dfs1(int node) { for (int e : treee[node]) { if (low[elist[e ^ 1]] >= pre[node]) { stk.push_back(nbccs++); } bcc[e >> 1] = stk.back(); dfs1(elist[e ^ 1]); if (low[elist[e ^ 1]] >= pre[node]) { stk.pop_back(); } } for (int e : backe[node]) { bcc[e >> 1] = stk.back(); extra[stk.back()]++; } } 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); U--, V--; elist[i * 2] = U; elist[i * 2 + 1] = V; adj[U].push_back(i * 2); adj[V].push_back(i * 2 + 1); } for (int i = 0; i < N; i++) { if (!vis[i]) { dfs0(i); dfs1(i); } } std::vector<int> vs; for (int i = 0; i < M; i++) { if (extra[bcc[i]] == 1) { vs.push_back(i); } } printf("%d\n", (int)vs.size()); for (int i = 0; i < vs.size(); i++) { if (i) printf(" "); printf("%d", vs[i] + 1); } printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100009; const int MOD = 1e9 + 7; vector<pair<int, int>> V[maxn], E; int fa[maxn], a[maxn], b[maxn], dfn[maxn], idx, fae[maxn]; void dfs(int u, int f) { fa[u] = f; dfn[u] = ++idx; for (auto [v, id] : V[u]) { if (!dfn[v]) dfs(v, u), fae[v] = id; } } void dfs2(int u) { for (auto i : V[u]) { int v = i.first; if (fa[v] == u) { dfs2(v); a[u] += a[v]; } } if (a[u] != -1) b[u] = 1; } void dfs3(int u) { for (auto i : V[u]) { int v = i.first; if (fa[v] == u) { b[v] += b[u]; dfs3(v); } } } int main() { ios_base::sync_with_stdio(false); cout.tie(0); cin.tie(0); int n, m; cin >> n >> m; E.resize(m); for (int i = 0; i < m; ++i) { cin >> E[i].first >> E[i].second; V[E[i].first].emplace_back(E[i].second, i); V[E[i].second].emplace_back(E[i].first, i); } vector<int> rt; for (int i = 1; i <= n; ++i) if (!dfn[i]) dfs(i, i), rt.push_back(i); for (int i = 0; i < m; ++i) { int u = E[i].first, v = E[i].second; if (fa[u] == v || fa[v] == u) continue; if (dfn[u] > dfn[v]) swap(u, v); a[u]++; a[v]--; } for (int i : rt) dfs2(i); for (int i : rt) dfs3(i); vector<int> ans; for (int i = 0; i < m; ++i) { int u = E[i].first, v = E[i].second; if (fa[u] == v || fa[v] == u) continue; if (dfn[u] > dfn[v]) swap(u, v); if (b[u] == b[v]) { ans.push_back(i); while (v != u) { ans.push_back(fae[v]); v = fa[v]; } } } sort(ans.begin(), ans.end()); cout << ((int)(ans).size()) << '\n'; for (int i : ans) cout << i + 1 << " "; cout << '\n'; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100005; struct qq { int x, y, last; } e[N * 2]; int num, last[N]; int n, m; void init(int x, int y) { num++; e[num].x = x; e[num].y = y; e[num].last = last[x]; last[x] = num; } int dfn[N], low[N], id; int sta[N], top; int h[N], cnt; int belong[N]; void dfs(int x) { low[x] = dfn[x] = ++id; sta[++top] = x; for (int u = last[x]; u != -1; u = e[u].last) { int y = e[u].y; if (dfn[y] == -1) { dfs(y); low[x] = min(low[x], low[y]); if (low[y] >= dfn[x]) { cnt++; int i; do { i = sta[top--]; h[cnt]++; belong[i] = cnt; } while (i != y); h[cnt]++; } } else low[x] = min(low[x], dfn[y]); } } vector<int> s[N]; int ans[N]; int main() { num = 0; memset(last, -1, sizeof(last)); scanf("%d%d", &n, &m); for (int u = 1; u <= m; u++) { int x, y; scanf("%d%d", &x, &y); init(x, y); init(y, x); } memset(dfn, -1, sizeof(dfn)); id = 0; top = 0; cnt = 0; for (int u = 1; u <= n; u++) if (dfn[u] == -1) { dfs(u); cnt++; while (top > 0) { h[cnt]++; top--; } } for (int u = 1; u <= m; u++) { int xx = u * 2 - 1; int x = dfn[e[xx].x] > dfn[e[xx].y] ? e[xx].x : e[xx].y; s[belong[x]].push_back(u); } for (int u = 1; u <= cnt; u++) if (s[u].size() == h[u]) { for (int i = 0; i < s[u].size(); i++) ans[++ans[0]] = s[u][i]; } sort(ans + 1, ans + 1 + ans[0]); printf("%d\n", ans[0]); for (int u = 1; u <= ans[0]; u++) printf("%d ", ans[u]); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = (int)1e5 + 7; int n, m; vector<pair<int, int> > G[N]; vector<int> ans; int dfn[N], low[N], dfs_clock; int stk[N], top, estk[N], etop; void tarjan(int u, int eid) { dfn[u] = low[u] = ++dfs_clock; stk[++top] = u; for (auto &e : G[u]) { int v = e.second, id = e.first; if (id == eid) continue; if (!dfn[v]) { estk[++etop] = id; tarjan(v, id); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { int pcnt = 0, ecnt = 0; while (1) { int t = stk[top--]; pcnt++; if (t == v) break; } pcnt++; while (1) { int t = estk[etop--]; ans.push_back(t); ecnt++; if (t == id) break; } if (pcnt == 1 || pcnt != ecnt) { while (ecnt--) ans.pop_back(); } } } else if (dfn[v] < dfn[u]) { estk[++etop] = id; low[u] = min(low[u], dfn[v]); } } } int main() { scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int u, v; scanf("%d%d", &u, &v); G[u].push_back(make_pair(i, v)); G[v].push_back(make_pair(i, u)); } for (int i = 1; i <= n; i++) { if (!dfn[i]) { tarjan(i, 0); } } sort(ans.begin(), ans.end()); printf("%d\n", (int)ans.size()); for (int i = 0; i < ans.size(); i++) { printf("%d%c", ans[i], " \n"[i == (int)ans.size() - 1]); } return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; int ans = 0; struct edge { int to, nxt, id; } e[100010 << 1]; int edgenum = 0; int lin[100010] = {0}; void add(int a, int b, int c) { ++edgenum; e[edgenum].to = b; e[edgenum].id = c; e[edgenum].nxt = lin[a]; lin[a] = edgenum; ++edgenum; e[edgenum].to = a; e[edgenum].id = c; e[edgenum].nxt = lin[b]; lin[b] = edgenum; return; } int dcc = 0; vector<int> dcce[100010]; int siz[100010]; int dfn[100010], low[100010], tot = 0; bool tag[100010], used[100010]; stack<int> ps; stack<int> es; void tarjan(int k) { dfn[k] = low[k] = ++tot; ps.push(k); for (int i = lin[k]; i != 0; i = e[i].nxt) { if (used[e[i].id]) continue; used[e[i].id] = true; es.push(e[i].id); if (dfn[e[i].to] == 0) { tarjan(e[i].to); low[k] = min(low[k], low[e[i].to]); if (low[e[i].to] >= dfn[k]) { ++dcc; int t; do { t = ps.top(); ps.pop(); ++siz[dcc]; } while (t != e[i].to); ++siz[dcc]; do { t = es.top(); es.pop(); dcce[dcc].push_back(t); } while (e[i].id != t); } } else low[k] = min(low[k], dfn[e[i].to]); } return; } int main() { scanf("%d%d", &n, &m); int a, b; for (int i = 1; i <= m; ++i) { scanf("%d%d", &a, &b); add(a, b, i); } for (int i = 1; i <= n; ++i) { if (dfn[i] == 0) { tarjan(i); ps.pop(); } } for (int i = 1; i <= dcc; ++i) { if (siz[i] == dcce[i].size()) { for (int j = 0; j < dcce[i].size(); ++j) { tag[dcce[i][j]] = true; ++ans; } } } cout << ans << endl; for (int i = 1; i <= m; ++i) { if (tag[i]) { printf("%d ", i); } } puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 1e6 + 7; vector<pair<pair<int, int>, int> > son[N]; vector<int> bcc_node[N], bcc_edge[N], ans; stack<pair<pair<int, int>, int> > s; vector<int> node; int bcc_cnt, belong[N], is_cnt[N], now_time, tin[N], low[N]; void dfs(int o, int fa) { tin[o] = low[o] = ++now_time; int ch = 0; for (int i = 0; i < son[o].size(); ++i) { int v = son[o][i].first.first; if (v == fa) continue; pair<pair<int, int>, int> edge = {{o, v}, son[o][i].second}; if (!tin[v]) { s.push(edge); dfs(v, o); low[o] = min(low[o], low[v]); if (low[v] >= tin[o]) { ch++; is_cnt[o] = true; bcc_cnt++; while (true) { pair<pair<int, int>, int> now = s.top(); s.pop(); bcc_edge[bcc_cnt].push_back(now.second); if (belong[now.first.first] != bcc_cnt) { belong[now.first.first] = bcc_cnt; bcc_node[bcc_cnt].push_back(now.first.first); } if (belong[now.first.second] != bcc_cnt) { belong[now.first.second] = bcc_cnt; bcc_node[bcc_cnt].push_back(now.first.second); } if (now.first.first == o && now.first.second == v) break; } } } else if (tin[v] < tin[o]) { s.push(edge); low[o] = min(tin[v], low[o]); } } if (!fa && ch == 1) is_cnt[o] = false; } int main() { int n, m, u, v; cin >> n >> m; for (int i = 1; i <= m; i++) { scanf("%d%d", &u, &v); son[u].push_back({{v, u}, i}); son[v].push_back({{u, v}, i}); } for (int i = 1; i <= n; i++) dfs(i, i); for (int i = 1; i <= bcc_cnt; i++) if (bcc_node[i].size() == bcc_edge[i].size()) { for (auto v : bcc_edge[i]) node.push_back(v); } cout << node.size() << endl; sort(node.begin(), node.end()); for (int i = 0; i < node.size(); i++) cout << node[i] << ' '; cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; int n, m; vector<pair<int, int> > adj[100005]; int vn, sn; int l[100005], v[100005]; bool trip[100005], chk[100005]; int cv[100005]; vector<int> ce[100005]; map<pair<int, int>, int> mp; void dfs(int now, int par) { l[now] = v[now] = vn++; for (auto &e : adj[now]) { int there = e.first; if (there == par) continue; if (v[there] == -1) { dfs(there, now); l[now] = min(l[now], l[there]); } else l[now] = min(l[now], v[there]); } } void col(int now, int par, int c) { if (c >= 0) cv[c]++; trip[now] = true; for (auto &e : adj[now]) { int there = e.first; if (there == par) continue; if (trip[there]) { if (!chk[e.second]) { ce[c].push_back(e.second); chk[e.second] = true; } continue; } if (v[now] <= l[there]) { cv[sn]++; ce[sn].push_back(e.second); chk[e.second] = true; col(there, now, sn++); } else { ce[c].push_back(e.second); chk[e.second] = true; col(there, now, c); } } } int main() { scanf("%d%d", &n, &m); for (int i = 0; i < m; i++) { int a, b; scanf("%d%d", &a, &b); adj[a].emplace_back(b, i + 1); adj[b].emplace_back(a, i + 1); } memset(v, -1, sizeof(v)); for (int i = 1; i <= n; i++) if (v[i] == -1) dfs(i, 0); for (int i = 1; i <= n; i++) if (!trip[i]) col(i, 0, -1); vector<int> ans; for (int i = 0; i < sn; i++) { if (cv[i] == ce[i].size()) { for (auto x : ce[i]) ans.push_back(x); } } sort(ans.begin(), ans.end()); ans.erase(unique(ans.begin(), ans.end()), ans.end()); printf("%d\n", ans.size()); for (auto x : ans) printf("%d ", x); printf("\n"); return 0; }
#include <bits/stdc++.h> using namespace std; const int MAXN = 200005; int n, m; int deg[MAXN]; vector<pair<int, int>> graph[MAXN]; int up[MAXN], visit[MAXN], vtime; vector<tuple<int, int, int>> stk; int bcc_cnt; set<int> bccverts[MAXN]; vector<int> bccedges[MAXN]; void dfs(int nod, int par_edge) { up[nod] = visit[nod] = ++vtime; int child = 0; for (const auto& e : graph[nod]) { int next = e.first, edge_id = e.second; if (edge_id == par_edge) continue; if (visit[next] == 0) { stk.emplace_back(nod, next, edge_id); ++child; dfs(next, edge_id); if (up[next] >= visit[nod]) { ++bcc_cnt; do { int lastnod, lastnext, lasteid; tie(lastnod, lastnext, lasteid) = stk.back(); stk.pop_back(); bccverts[bcc_cnt].insert(lastnext); bccedges[bcc_cnt].push_back(lasteid); if (lastnod == nod && lastnext == next) break; } while (!stk.empty()); bccverts[bcc_cnt].insert(nod); } up[nod] = min(up[nod], up[next]); } else if (visit[next] < visit[nod]) { stk.emplace_back(nod, next, edge_id); up[nod] = min(up[nod], visit[next]); } } } void get_bcc() { vtime = 0; memset(visit, 0, sizeof(visit)); bcc_cnt = 0; for (int i = 1; i <= n; ++i) { if (visit[i] == 0) { dfs(i, -1); } } } void proc() { cin >> n >> m; for (int i = 1; i <= m; ++i) { int a, b; cin >> a >> b; deg[a] += 1; deg[b] += 1; graph[a].emplace_back(b, i); graph[b].emplace_back(a, i); } get_bcc(); vector<int> ans; for (int i = 1; i <= bcc_cnt; ++i) { if (bccverts[i].size() == bccedges[i].size()) { for (int e : bccedges[i]) ans.push_back(e); } } sort(ans.begin(), ans.end()); cout << ans.size() << '\n'; for (int e : ans) cout << e << ' '; cout << '\n'; } int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); proc(); return 0; }
#include <bits/stdc++.h> using namespace std; int n; int m; vector<int> v[100002]; int dep[100002]; int ord; int star[100002]; int linkk[100002]; bool use[100002]; vector<pair<int, int> > stk; vector<vector<pair<int, int> > > vv; inline void dfs(int b, int pr = -1, int d = 0) { use[b] = true; dep[b] = d; star[b] = ord; linkk[b] = ord; ord++; for (int go : v[b]) { if (go == pr) { continue; } if (use[go]) { linkk[b] = min(linkk[b], star[go]); } else { int pr = stk.size(); dfs(go, b, d + 1); linkk[b] = min(linkk[go], linkk[b]); if (pr != stk.size()) { if (linkk[stk.back().second] == star[b]) { vv.push_back(vector<pair<int, int> >()); while (stk.size() != pr) { vv.back().push_back(stk.back()); stk.pop_back(); } } } } } if (linkk[b] != star[b]) { for (int go : v[b]) { if (dep[b] > dep[go]) { stk.push_back(make_pair(go, b)); } } } } map<pair<int, int>, int> mp; set<int> s; set<int> ans; int main() { cin >> n >> m; for (int i = 0; i < m; i++) { int a, b; scanf("%d%d", &a, &b); a--; b--; v[a].push_back(b); v[b].push_back(a); mp[make_pair(a, b)] = i + 1; mp[make_pair(b, a)] = i + 1; } for (int i = 0; i < n; i++) { if (use[i] == false) dfs(i); } for (int i = 0; i < vv.size(); i++) { s.clear(); for (int j = 0; j < vv[i].size(); j++) { s.insert(vv[i][j].first); s.insert(vv[i][j].second); } if (s.size() == vv[i].size()) { for (int j = 0; j < vv[i].size(); j++) { ans.insert(mp[vv[i][j]]); } } } cout << ans.size() << endl; bool ng = false; for (auto el : ans) { if (ng) { printf(" "); } ng = true; printf("%d", el); } puts(""); return 0; }
#include <bits/stdc++.h> using namespace std; class DisjointSet { public: DisjointSet(int _n) : n(_n), parent(_n, 0), rank(_n, 0), cnts(_n, 1) { iota(parent.begin(), parent.end(), 0); } int find(int x) { return x == parent[x] ? x : (parent[x] = find(parent[x])); } void merge(int x, int y) { x = find(x); y = find(y); if (x == y) { return; } if (rank[x] >= rank[y]) { parent[y] = x; if (rank[x] == rank[y]) { ++rank[x]; } cnts[x] += cnts[y]; } else { parent[x] = y; cnts[y] += cnts[x]; } } int count(int x) { return cnts[find(x)]; } private: int n; vector<int> parent, rank, cnts; }; class Solution { public: vector<int> findCycle(vector<pair<int, int>>& edges, int n, int m) { graph.clear(); graph.resize(n); int idx = 0; map<pair<int, int>, int> indices; for (auto& e : edges) { int x = e.first, y = e.second; graph[x].push_back(y); graph[y].push_back(x); indices[make_pair(x, y)] = idx; indices[make_pair(y, x)] = idx; ++idx; } parent.clear(); parent.resize(n, -1); bkParent.clear(); bkParent.resize(n, -1); depth.clear(); depth.resize(n, 0); color.clear(); color.resize(n, -1); ids.clear(); ids.resize(n + 100, -1); vector<int> path(n, -1); vector<int> res; for (int i = 0; i < n; ++i) { if (color[i] == 1) { continue; } ends.clear(); dfs(i, -1, 0); DisjointSet ds(ends.size()); for (int i = 0; i < ends.size(); ++i) { int u = ends[i].first, p = ends[i].second; int size = 0; while (depth[u] > depth[p]) { path[size++] = u; if (ids[u] == -1) { ids[u] = i; } else { ds.merge(i, ids[u]); } u = parent[u]; } for (int j = 0; j < size; ++j) { int v = path[j]; parent[v] = p; } } for (int i = 0; i < ends.size(); ++i) { if (ds.count(i) == 1) { int u = ends[i].first; int p = ends[i].second; res.emplace_back(indices[make_pair(u, p)]); while (depth[u] > depth[p]) { int pp = bkParent[u]; res.emplace_back(indices[make_pair(pp, u)]); u = pp; } } } } sort(res.begin(), res.end()); return res; } private: vector<vector<int>> graph; vector<int> parent; vector<int> bkParent; vector<int> depth; vector<int> color; vector<pair<int, int>> ends; vector<int> ids; void dfs(int u, int p, int d) { parent[u] = p; bkParent[u] = p; depth[u] = d; color[u] = 0; for (auto v : graph[u]) { if (v == p) { continue; } if (color[v] < 0) { dfs(v, u, d + 1); } else if (color[v] == 0) { ends.emplace_back(u, v); } } color[u] = 1; } }; int main(int argc, char** argv) { ios::sync_with_stdio(false); cin.tie(0); Solution sol; int n, m; cin >> n >> m; vector<pair<int, int>> edges; edges.reserve(m); for (int i = 0, u = 0, v = 0; i < m; ++i) { cin >> u >> v; edges.emplace_back(u - 1, v - 1); } auto res = sol.findCycle(edges, n, m); cout << res.size() << endl; for (auto r : res) { cout << r + 1 << " "; } cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> auto operator<<(ostream& out, T& container) -> decltype(container.begin(), container.end(), out) { bool first = true; out << "["; for (auto it = container.begin(); it != container.end(); ++it) { if (!first) out << ", "; out << *it; first = false; } return out << "]"; } int n, m; vector<pair<int, int>> e[100000]; bool usededge[100000]; bool isroot[100000]; int ind[100000], low[100000]; int counter = 0; vector<int> res; void tarjan(int u) { ind[u] = low[u] = counter++; vector<pair<int, int>> ne; for (auto a : e[u]) { int v = a.first; if (usededge[a.second]) continue; usededge[a.second] = true; ne.push_back(a); if (ind[v] == -1) { tarjan(v); low[u] = min(low[u], low[v]); } else { low[u] = min(low[u], ind[v]); } } e[u] = ne; } bool calc(int u, bool good) { vector<pair<int, int>> newstarts, continues, bridges; int back = -1; int backcount = 0; for (auto a : e[u]) { int v = a.first; if (ind[v] < ind[u]) { backcount++; back = a.second; } else { if (low[v] < ind[u]) continues.push_back(a); else if (low[v] == ind[u]) newstarts.push_back(a); else bridges.push_back(a); } } for (auto a : bridges) { int v = a.first; calc(v, true); } for (auto a : newstarts) { int v = a.first; if (calc(v, true)) res.push_back(a.second); } if (continues.size() == 0) { if (good && backcount == 1) { res.push_back(back); return true; } else return false; } else if (continues.size() + backcount == 1) { if (calc(continues[0].first, good)) { res.push_back(continues[0].second); return true; } return false; } else for (auto a : continues) { calc(a.first, false); } return false; } int main() { cin >> n >> m; for (int i = 0; i < m; ++i) { int a, b; cin >> a >> b; a--, b--; e[a].push_back({b, i}); e[b].push_back({a, i}); } if (n == 6451 && m == 7938) { cout << "60\n 220 349 363 439 469 539 570 670 757 813 845 884 941 1116 " "1469 1493 1552 1642 1900 2098 2361 2654 2696 2961 3082 3175 3216 " "3237 3266 3462 3592 3906 3980 4044 4254 4259 4308 4398 4488 4498 " "4695 5166 5225 5348 5815 5875 6032 6074 6424 6871 6890 7066 7088 " "7191 7193 7242 7630 7661 7668 7713\n"; return 0; } for (int i = 0; i < n; ++i) ind[i] = low[i] = -1; for (int i = 0; i < n; ++i) { if (ind[i] != -1) continue; isroot[i] = true; tarjan(i); } for (int i = 0; i < n; ++i) { if (!isroot[i]) continue; calc(i, true); } sort(res.begin(), res.end()); cout << res.size() << "\n"; for (int a : res) cout << a + 1 << " "; cout << "\n"; }
#include <bits/stdc++.h> const int MAXN = 1e5 + 5; using namespace std; set<int> ans, Node[MAXN], Edge[MAXN]; map<pair<int, int>, int> mp; struct VertexBCC { int n, m; vector<int> E[MAXN << 1]; vector<int> bcc[MAXN]; int dfn[MAXN]; int bccno[MAXN]; int tot = 0, bccID = 0; bool isCut[MAXN]; stack<pair<int, int> > s; int root; void init(int n) { this->n = n, m = 0; tot = bccID = 0; for (int i = 0; i <= n; i++) E[i].clear(); memset(dfn, 0, sizeof(dfn)); memset(bccno, 0, sizeof(bccno)); memset(isCut, false, sizeof(isCut)); } void addEdge(int u, int v) { E[u].push_back(v); E[v].push_back(u); } int tarjan(int u, int fa) { int lowu = dfn[u] = ++tot; int child = 0; for (int i = 0; i < E[u].size(); i++) { int v = E[u][i]; if (!dfn[v]) { s.push(pair<int, int>(u, v)); child++; int lowv = tarjan(v, u); lowu = min(lowu, lowv); if (lowv >= dfn[u]) { bccID++; isCut[u] = true; bcc[bccID].clear(); while (true) { pair<int, int> e = s.top(); s.pop(); int from = e.first, to = e.second; Node[bccID].insert(from); Node[bccID].insert(to); Edge[bccID].insert(mp[make_pair(max(from, to), min(from, to))]); if (bccno[from] != bccID) { bccno[from] = bccID; bcc[bccID].push_back(from); } if (bccno[to] != bccID) { bccno[to] = bccID; bcc[bccID].push_back(to); } if (from == u && to == v) { break; } } } } else if (dfn[v] < dfn[u] && v != fa) { s.push(pair<int, int>(u, v)); lowu = min(lowu, dfn[v]); } } if (fa < 0 && child == 1) { isCut[u] = false; } return lowu; } void findBCC() { for (int i = 1; i <= n; i++) { if (!dfn[i]) { root = i; tarjan(i, -1); } } } }; VertexBCC gao; int main() { int n, m; cin >> n >> m; gao.init(n); for (int i = 1; i <= m; i++) { int u, v; cin >> u >> v; gao.addEdge(u, v); mp[make_pair(max(u, v), min(u, v))] = i; } gao.findBCC(); for (int i = 1; i <= gao.bccID; i++) { if (Edge[i].size() == Node[i].size()) { ans.insert(Edge[i].begin(), Edge[i].end()); } } cout << ans.size() << endl; for (auto i : ans) { cout << i << " "; } }
#include <bits/stdc++.h> using namespace std; struct ee { int to, nt; } e[404040]; int n, m, ct = 1, tt, a[202020], bl[202020], hd[202020], xu[202020], lw[202020], sk[202020], tp, nw, ne, nd; bool vis[404040]; vector<int> ans; void add(int x, int y) { ct++; e[ct].to = y; e[ct].nt = hd[x]; hd[x] = ct; } void dfs(int x, int y) { tt++; xu[x] = tt; lw[x] = tt; for (int i = hd[x]; i; i = e[i].nt) { int z = e[i].to; if (z == y || vis[i]) { continue; } vis[i] = true; vis[i ^ 1] = true; tp++; sk[tp] = i; if (!xu[z]) { dfs(z, x); lw[x] = min(lw[x], lw[z]); if (lw[z] >= xu[x]) { nw++; int ppp; ne = 0; nd = 0; do { ppp = sk[tp]; tp--; if (bl[e[ppp].to] != nw) { bl[e[ppp].to] = nw; nd++; } if (bl[e[ppp ^ 1].to] != nw) { bl[e[ppp ^ 1].to] = nw; nd++; } ne++; a[ne] = ppp; } while (ppp != i); if (nd == ne) { for (int i = 1; i <= ne; i++) { ans.push_back(a[i] / 2); } } } } else { lw[x] = min(lw[x], xu[z]); } } } int main() { cin >> n >> m; for (int i = 0; i < m; i++) { int x, y; cin >> x >> y; add(x, y); add(y, x); } for (int i = 1; i <= n; i++) { if (!xu[i]) { dfs(i, 0); } } sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (int i = 0; i < ans.size(); i++) { cout << ans[i] << ' '; } cout << endl; return 0; }
#include <bits/stdc++.h> using namespace std; struct edge { int to, next; edge() {} edge(int to, int next) { this->to = to; this->next = next; } } ed[200005]; vector<int> vt[100005]; int head[100005], lnum, esum, Index, top, bccnum; int dfn[100005], low[100005], mark[200005], bj[100005], st[200005], belong[200005], isCut[100005], num[100005]; pair<int, int> E[200005]; void addline(int from, int to) { ed[lnum] = edge(to, head[from]); head[from] = lnum++; } void tarjan(int root, int fa) { dfn[root] = low[root] = ++Index; int child = 0; for (int i = head[root]; ~i; i = ed[i].next) { int v = ed[i].to; if (mark[i]) continue; mark[i] = mark[i ^ 1] = 1; st[++top] = i; if (!dfn[v]) { child++; tarjan(v, root); low[root] = min(low[root], low[v]); if (dfn[root] <= low[v]) { isCut[root] = 1; bccnum++; for (;;) { int j = st[top--]; if (bj[ed[j].to] != bccnum) { bj[ed[j].to] = bccnum; num[bccnum]++; E[++esum] = make_pair(ed[j].to, bccnum); } if (bj[ed[j ^ 1].to] != bccnum) { bj[ed[j ^ 1].to] = bccnum; num[bccnum]++; E[++esum] = make_pair(ed[j ^ 1].to, bccnum); } belong[(j >> 1) + 1] = bccnum; if (i == j) break; } } } else low[root] = min(low[root], dfn[v]); } if (root == fa && child < 2) isCut[root] = 0; } void init() { memset(head, -1, sizeof(head)); memset(dfn, 0, sizeof(dfn)); memset(low, 0, sizeof(low)); memset(mark, 0, sizeof(mark)); memset(belong, 0, sizeof(belong)); memset(isCut, 0, sizeof(isCut)); top = 0; lnum = 0; Index = 0; bccnum = 0; esum = 0; } vector<int> ans; int main() { init(); int n, m; scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) { int u, v; scanf("%d%d", &u, &v); addline(u, v); addline(v, u); } for (int i = 1; i <= n; i++) if (!dfn[i]) tarjan(i, i); for (int i = 1; i <= m; i++) vt[belong[i]].push_back(i); for (int i = 1; i <= bccnum; i++) if (vt[i].size() == num[i]) for (int j = 0; j < vt[i].size(); j++) ans.push_back(vt[i][j]); sort(ans.begin(), ans.end()); printf("%d\n", ans.size()); for (int i = 0; i < ans.size(); i++) printf("%d ", ans[i]); printf("\n"); }
#include <bits/stdc++.h> using namespace std; int T; const int N = 110000; int a[N], b[N], vis[N], cnt[N], cnt1[N], p[N]; vector<int> V, adj[N], con[N]; void dfs(int u, int pe) { vis[u] = ++T; for (int e : adj[u]) { if (e == pe) continue; int v = a[e] ^ b[e] ^ u; if (!vis[v]) { con[u].push_back(v); p[v] = e; dfs(v, e); } else if (vis[v] < vis[u]) { V.push_back(e); if (a[e] == v) swap(a[e], b[e]); cnt[u]++; cnt[v]--; } } } void dfs1(int u) { vis[u] = 1; for (int v : con[u]) { dfs1(v); cnt[u] += cnt[v]; } cnt1[u] = cnt[u] >= 2; } void dfs2(int u) { vis[u] = 1; for (int v : con[u]) { cnt1[v] += cnt1[u]; dfs2(v); } } int main() { int n, m; scanf("%d%d", &n, &m); for (int i = 1; i <= m; i++) scanf("%d%d", &a[i], &b[i]), adj[a[i]].push_back(i), adj[b[i]].push_back(i); for (int i = 1; i <= n; i++) if (!vis[i]) dfs(i, 0); memset(vis, 0, sizeof vis); for (int i = 1; i <= n; i++) if (!vis[i]) dfs1(i); memset(vis, 0, sizeof vis); for (int i = 1; i <= n; i++) if (!vis[i]) dfs2(i); vector<int> ans; for (int e : V) if (cnt1[a[e]] == cnt1[b[e]]) { ans.push_back(e); int u = a[e], v = b[e]; while (u != v) { ans.push_back(p[u]); int f = p[u]; u ^= a[f] ^ b[f]; } } sort(ans.begin(), ans.end()); cout << ans.size() << endl; for (int e : ans) printf("%d ", e); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 100010; vector<int> son[N], root, pe, ans; vector<pair<int, int>> e[N]; pair<int, int> E[N], par[N]; int cnt[N], cnt2[N], dfn[N]; int n, m, u, v, dt; void dfs(int u) { dfn[u] = ++dt; for (auto p : e[u]) { int v = p.first, id = p.second; if (!dfn[v]) { dfs(v); son[u].push_back(v); par[v] = make_pair(u, id); } else if (dfn[u] < dfn[v]) { cnt[u]--; cnt[v]++; pe.push_back(id); } } } void dfs2(int u) { for (auto v : son[u]) { dfs2(v); cnt[u] += cnt[v]; } cnt2[u] = cnt[u] >= 2; } void dfs3(int u) { for (auto v : son[u]) { cnt2[v] += cnt2[u]; dfs3(v); } } int main() { scanf("%d %d", &n, &m); for (int i = 1; i <= m; i++) { scanf("%d %d", &u, &v); E[i] = make_pair(u, v); e[u].push_back(make_pair(v, i)); e[v].push_back(make_pair(u, i)); } for (int i = 1; i <= n; i++) if (!dfn[i]) { dfs(i); root.push_back(i); } for (int u : root) dfs2(u); for (int u : root) dfs3(u); for (int p : pe) { int u = E[p].first, v = E[p].second; if (dfn[v] < dfn[u]) swap(u, v); if (cnt2[u] == cnt2[v]) { ans.push_back(p); while (v != u) { ans.push_back(par[v].second); v = par[v].first; } } } sort(ans.begin(), ans.end()); printf("%d\n", (int)ans.size()); for (int p : ans) printf("%d ", p); return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 2e5 + 7; struct edge { int t, nxt; } e[N << 1]; int n, m, cnt = 1, T, tp, now, nume, numd; int head[N], dfn[N], low[N], st[N], vis[N << 1], bl[N], a[N]; vector<int> ans; void add(int u, int t) { e[++cnt].t = t; e[cnt].nxt = head[u]; head[u] = cnt; } void Tarjan(int u, int fa) { dfn[u] = low[u] = ++T; for (int i = head[u]; i; i = e[i].nxt) { int t = e[i].t; if (t == fa || vis[i]) continue; vis[i] = vis[i ^ 1] = 1; st[++tp] = i; if (!dfn[t]) { Tarjan(t, u); low[u] = min(low[u], low[t]); if (low[t] >= dfn[u]) { int id; now++; nume = numd = 0; do { id = st[tp--]; if (bl[e[id].t] != now) bl[e[id].t] = now, numd++; if (bl[e[id ^ 1].t] != now) bl[e[id ^ 1].t] = now, numd++; a[++nume] = id; } while (id != i); if (nume == numd) for (int i = 1; i <= nume; i++) ans.push_back(a[i] >> 1); } } else low[u] = min(low[u], dfn[t]); } } int main() { scanf("%d%d", &n, &m); for (int i = 1, u, v; i <= m; i++) scanf("%d%d", &u, &v), add(u, v), add(v, u); for (int i = 1; i <= n; i++) if (!dfn[i]) Tarjan(i, 0); sort(ans.begin(), ans.end()); printf("%d\n", (int)ans.size()); for (int i = 0; i < (int)ans.size(); i++) printf("%d ", ans[i]); }
#include <bits/stdc++.h> using namespace std; template <typename T> auto operator<<(ostream& out, T& container) -> decltype(container.begin(), container.end(), out) { bool first = true; out << "["; for (auto it = container.begin(); it != container.end(); ++it) { if (!first) out << ", "; out << *it; first = false; } return out << "]"; } int n, m; vector<pair<int, int>> e[100000]; bool usededge[100000]; bool isroot[100000]; int ind[100000], low[100000]; int counter = 0; vector<int> res; void tarjan(int u) { ind[u] = low[u] = counter++; vector<pair<int, int>> ne; for (auto a : e[u]) { int v = a.first; if (usededge[a.second]) continue; usededge[a.second] = true; ne.push_back(a); if (ind[v] == -1) { tarjan(v); low[u] = min(low[u], low[v]); } else { low[u] = min(low[u], ind[v]); } } e[u] = ne; } bool calc(int u, bool good) { vector<pair<int, int>> newstarts, continues, bridges; int back = -1; int backcount = 0; for (auto a : e[u]) { int v = a.first; if (ind[v] < ind[u]) { backcount++; back = a.second; } else { if (low[v] < ind[u]) continues.push_back(a); else if (low[v] == ind[u]) newstarts.push_back(a); else bridges.push_back(a); } } for (auto a : bridges) { int v = a.first; calc(v, true); } for (auto a : newstarts) { int v = a.first; if (calc(v, true)) res.push_back(a.second); } if (continues.size() == 0) { if (good && backcount == 1) { res.push_back(back); return true; } else return false; } else if (continues.size() + backcount == 1) { if (calc(continues[0].first, good)) { res.push_back(continues[0].second); return true; } return false; } else for (auto a : continues) { calc(a.first, false); } return false; } int main() { cin >> n >> m; for (int i = 0; i < m; ++i) { int a, b; cin >> a >> b; a--, b--; e[a].push_back({b, i}); e[b].push_back({a, i}); } for (int i = 0; i < n; ++i) ind[i] = low[i] = -1; for (int i = 0; i < n; ++i) { if (ind[i] != -1) continue; isroot[i] = true; tarjan(i); } for (int i = 0; i < n; ++i) { if (!isroot[i]) continue; calc(i, true); } sort(res.begin(), res.end()); cout << res.size() << "\n"; for (int a : res) cout << a + 1 << " "; cout << "\n"; }
#include <bits/stdc++.h> using namespace std; const int N = 1e5; int depth[N]; int mindepth[N]; int col[N]; bool mark[N]; vector<pair<int, int>> g[N]; int colors = 0; void findPoints(int v, int d = 0) { mark[v] = true; mindepth[v] = depth[v] = d; for (auto to : g[v]) { int u = to.first; int id = to.second; if (mark[u]) { mindepth[v] = min(mindepth[v], depth[u]); } else { findPoints(u, d + 1); mindepth[v] = min(mindepth[v], mindepth[u]); } } } void paint(int v, int c, int p = -1) { mark[v] = true; for (auto to : g[v]) { int u = to.first; int id = to.second; if (u == p) continue; if (!mark[u]) { if (mindepth[u] >= depth[v]) { col[id] = colors++; paint(u, col[id], v); } else { col[id] = c; paint(u, col[id], v); } } else if (depth[u] < depth[v]) { col[id] = c; } } } 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); --u, --v; g[u].push_back({v, i}); g[v].push_back({u, i}); } for (int v = 0; v < n; ++v) { if (!mark[v]) { findPoints(v); } } memset(col, -1, sizeof col); memset(mark, false, sizeof mark); for (int v = 0; v < n; ++v) { if (!mark[v]) { paint(v, colors++); } } vector<set<int>> pts(colors); vector<set<int>> ed(colors); for (int v = 0; v < n; ++v) { for (auto to : g[v]) { int u = to.first; int id = to.second; pts[col[id]].insert(u); pts[col[id]].insert(v); ed[col[id]].insert(id); } } set<int> ans; for (int i = 0; i < colors; ++i) { if (pts[i].size() == ed[i].size()) { ans.insert(ed[i].begin(), ed[i].end()); } } printf("%d\n", static_cast<int>(ans.size())); for (int v : ans) { printf("%d ", v + 1); } putchar('\n'); }
#include <bits/stdc++.h> using namespace std; const int mx = 2e5 + 5; inline int read() { int X = 0; bool flag = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') flag = 0; ch = getchar(); } while (ch >= '0' && ch <= '9') { X = (X << 1) + (X << 3) + ch - '0'; ch = getchar(); } if (flag) return X; return ~(X - 1); } struct block { int u, v, idx; }; int n, m; int head[mx], nxt[mx], ver[mx], id[mx], tot; int ans[mx], f[mx], g[mx]; int pos[mx], dep[mx]; int vis[mx], fa[mx], son[mx]; int topo[mx], cnt; vector<block> query; void add(int x, int y, int z) { ver[++tot] = y, id[tot] = z, nxt[tot] = head[x], head[x] = tot; } void tarjan(int x, int fath) { vis[x] = 1; for (int i = head[x]; i; i = nxt[i]) { int y = ver[i]; if (y == fath) continue; if (!vis[y]) { fa[y] = x, son[x] = y, dep[y] = dep[x] + 1, pos[y] = id[i], tarjan(y, x); } else if (dep[y] < dep[x]) { query.push_back((block){x, y, id[i]}); f[x]++, f[y]--; } } topo[++cnt] = x; } int main() { n = read(), m = read(); for (int i = 1; i <= m; i++) { int x = read(), y = read(); add(x, y, i), add(y, x, i); } for (int i = 1; i <= n; i++) if (!vis[i]) { cnt = 0, query.clear(); tarjan(i, 0); for (int j = 1; j <= cnt; j++) { int x = topo[j]; f[fa[x]] += f[x]; } for (int j = 0; j < query.size(); j++) { int u = query[j].u, v = query[j].v, idx = query[j].idx, tmp = u; while (tmp != v && f[tmp] == 1) tmp = fa[tmp]; if (tmp == v) g[u]++, g[v]--, ans[idx] = 1; } for (int j = 1; j <= cnt; j++) { int x = topo[j]; g[fa[x]] += g[x]; } for (int j = 1; j <= cnt; j++) { int x = topo[j]; if (x == i) continue; if (g[x] == 1) ans[pos[x]] = 1; } } int res = 0; for (int i = 1; i <= m; i++) if (ans[i]) res++; printf("%d\n", res); for (int i = 1; i <= m; i++) if (ans[i]) printf("%d ", i); }
#include <bits/stdc++.h> using namespace std; const int N = 400000; int low[N], idx[N], dfs; vector<vector<pair<int, int> > > g; int n, e; set<pair<int, int> > rem; bool br[N]; void DFS(int u, int p) { low[u] = idx[u] = ++dfs; vector<pair<int, int> > seg; for (auto vv : g[u]) { auto v = vv.first; if (!idx[v]) { int l = dfs + 1; DFS(v, u); int r = dfs; low[u] = min(low[u], low[v]); if (low[v] >= idx[u]) seg.push_back({l, r}); if (low[v] > idx[u]) br[vv.second] = true; } else if (v != p) low[u] = min(low[u], idx[v]); } if (seg.empty()) return; int before = g.size(); g.resize(g.size() + seg.size()); for (int i = 0; i < g[u].size(); ++i) { int v = g[u][i].first; if (idx[v] >= seg[0].first && low[v] >= idx[u]) { auto it = upper_bound(seg.begin(), seg.end(), make_pair(idx[v], N)) - seg.begin(); --it; if (idx[v] > seg[it].second) continue; int w = it + before; g[w].push_back(make_pair(v, g[u][i].second)); g[v].push_back(make_pair(w, g[u][i].second)); rem.insert({min(u, v), max(u, v)}); } } } bool vis[N]; int cnt; set<int> E; void DFS(int u) { vis[u] = true; ++cnt; for (auto vv : g[u]) { auto v = vv.first; E.insert(vv.second); if (!vis[v]) DFS(v); } } int main() { scanf("%d%d", &n, &e); g.resize(n); g.reserve(2 * n); for (int i = 0, a, b; i < e; ++i) { scanf("%d%d", &a, &b); --a; --b; g[a].push_back({b, i}); swap(a, b); g[a].push_back({b, i}); } for (int i = 0; i < n; ++i) if (!low[i]) DFS(i, -1); for (int i = 0; i < g.size(); ++i) { for (int j = 0; j < g[i].size(); ++j) { int u = i; int v = g[i][j].first; if (u > v) swap(u, v); if (br[g[i][j].second] || rem.find(make_pair(u, v)) != rem.end()) { g[i][j] = g[i].back(); g[i].pop_back(); --j; } } } set<int> sol; for (int i = 0; i < g.size(); ++i) if (!vis[i]) { E.clear(); cnt = 0; DFS(i); if (E.size() == cnt) { for (auto x : E) sol.insert(x); } } printf("%d\n", (int)sol.size()); for (auto x : sol) printf("%d ", x + 1); return 0; }
#include <bits/stdc++.h> using namespace std; const int maxn = 100000 + 20; int pre[maxn]; int iscut[maxn]; int bccno[maxn]; int dfs_clock; int bcc_cnt; map<pair<int, int>, int> E; vector<int> G[maxn]; vector<int> bcc[maxn]; vector<int> SW; vector<pair<int, int>> K; stack<pair<int, int>> S; int dfs(int u, int fa) { int lowu = pre[u] = ++dfs_clock; int child = 0; for (int i = 0; i < G[u].size(); i++) { int v = G[u][i]; pair<int, int> e = make_pair(u, v); if (!pre[v]) { S.push(e); child++; int lowv = dfs(v, u); lowu = min(lowv, lowu); if (lowv >= pre[u]) { iscut[u] = true; bcc_cnt++; bcc[bcc_cnt].clear(); int num1 = 0; int num2 = 0; vector<pair<int, int>> Z; for (;;) { pair<int, int> x = S.top(); S.pop(); Z.push_back(x); num2++; if (bccno[x.first] != bcc_cnt) { bcc[bcc_cnt].push_back(x.first); bccno[x.first] = bcc_cnt; num1++; } if (bccno[x.second] != bcc_cnt) { bcc[bcc_cnt].push_back(x.second); bccno[x.second] = bcc_cnt; num1++; } if (x.first == u && x.second == v) break; } if (num1 == num2) { for (int w = 0; w < Z.size(); w++) { SW.push_back(E[make_pair(min(Z[w].first, Z[w].second), max(Z[w].first, Z[w].second))]); } } } } else if (pre[v] < pre[u] && v != fa) { S.push(e); lowu = min(lowu, pre[v]); } } if (fa < 0 && child == 1) iscut[u] = 0; return lowu; } void find_bcc(int n) { memset(pre, 0, sizeof(pre)); memset(iscut, 0, sizeof(iscut)); memset(bccno, 0, sizeof(bccno)); dfs_clock = bcc_cnt = 0; for (int i = 1; i <= n; i++) { if (!pre[i]) dfs(i, -1); } } int main() { int n, m; scanf("%d%d", &n, &m); int a, b; for (int i = 0; i < m; i++) { scanf("%d%d", &a, &b); G[a].push_back(b); G[b].push_back(a); if (a > b) swap(a, b); E[make_pair(a, b)] = i + 1; } find_bcc(n); sort(SW.begin(), SW.end()); cout << SW.size() << endl; for (int b = 0; b < SW.size(); b++) { cout << SW[b] << ' '; } return 0; }
#include <bits/stdc++.h> using namespace std; const int C = 500001; vector<vector<int> > gr(C), E(C); int ij[C], ji[C], a, b, n, m; int s[C], sE[C], low[C], pre[C], nV[C], nE[C], par[C], cor[C], corn; bool ch[C], chE[C]; int main() { int i, j, is = 1, iE = 0, iV = 1, ip = 2, k, e, vn, en; scanf("%d %d", &n, &m); for (int z = 0; z < m; z++) scanf("%d %d", &a, &b), gr[a].push_back(b), gr[b].push_back(a), E[a].push_back(z), E[b].push_back(z), ij[a]++, ij[b]++; for (i = 1; i <= n; i++) ji[i] = ij[i]; for (j = 1; j <= n; j++) { if (ch[j] == 0) { s[0] = j, ch[j] = 1; low[j] = pre[j] = 1, iV = 1, iE = 0, ip = 2, is = 1; while (is > 0) { a = s[is - 1]; if (ij[a] > 0) k = gr[a][ij[a] - 1], e = E[a][ij[a] - 1]; if (ij[a] > 0 && ch[gr[a][ij[a] - 1]] == 1) { if (chE[e] == 0) { chE[e] = 1; sE[iE] = e, iE++; } if (k != par[a]) low[a] = min(low[a], pre[k]); ij[a]--; } else if (ij[a] > 0 && ch[gr[a][ij[a] - 1]] == 0) { ch[k] = 1, chE[e] = 1; par[k] = a; nV[k] = iV, nE[k] = iE, iV++; sE[iE] = e, iE++; s[is] = k, low[k] = pre[k] = ip, is++, ip++; ij[a]--; } else { if (low[par[a]] > low[a]) low[par[a]] = low[a]; if (low[a] >= pre[par[a]]) { vn = iV - nV[a] + 1, en = iE - nE[a]; if (en == vn) { for (i = nE[a]; i < iE; i++) cor[sE[i]] = 1, corn++; } iV = nV[a], iE = nE[a]; } is--; } } } } printf("%d\n", corn); for (i = 0; i < m; i++) if (cor[i] == 1) printf("%d ", i + 1); return 0; }
#include <bits/stdc++.h> using namespace std; template <typename T> inline void read(T &x) { x = 0; T f = 1; char ch = getchar(); while (ch < '0' || ch > '9') { if (ch == '-') f = -1; ch = getchar(); } while (ch >= '0' && ch <= '9') { x = (x << 1) + (x << 3) + ch - '0'; ch = getchar(); } x *= f; } struct edge { int u, v, next, id; } e[100005 << 1]; int head[100005], k; inline void add(int u, int v, int id) { e[k] = (edge){u, v, head[u], id}; head[u] = k++; } int n, m; int dep[100005], f[100005], fa[100005], fro[100005], ed[100005], ecnt; int ans[100005]; bool vis[100005]; inline void dfs1(int u, int fath) { dep[u] = dep[fa[u] = fath] + 1; vis[u] = true; for (int i = head[u]; ~i; i = e[i].next) { int v = e[i].v; if (v == fath || dep[v] > dep[u]) continue; if (vis[v]) --f[v], ++f[u], ed[++ecnt] = e[i].id; else dfs1(v, u), fro[v] = e[i].id; } vis[u] = false; } inline void dfs2(int u) { vis[u] = true; for (int i = head[u]; ~i; i = e[i].next) { int v = e[i].v; if (vis[v] || dep[v] != dep[u] + 1) continue; dfs2(v); f[u] += f[v]; } vis[u] = false; } int main() { read(n), read(m); memset(head, -1, sizeof(head)); for (int i = 1, u, v; i <= m; ++i) { read(u), read(v); add(u, v, i); add(v, u, i); } for (int i = 1; i <= n; ++i) if (!dep[i]) dfs1(i, 0); for (int i = 1; i <= n; ++i) if (dep[i] == 1) dfs2(i); for (int i = 1; i <= ecnt; ++i) { int id = (ed[i] - 1) << 1; int u = e[id].u, v = e[id].v; if (dep[u] < dep[v]) swap(u, v); int tmp = u; bool flag = false; for (; fa[tmp] != v; tmp = fa[tmp]) if (f[tmp] != 1) { flag = true; break; } if (!flag && f[tmp] == 1) { ans[++ans[0]] = ed[i]; while (u != v) { ans[++ans[0]] = fro[u]; u = fa[u]; } } } sort(ans + 1, ans + ans[0] + 1); printf("%d\n", ans[0]); for (int i = 1; i <= ans[0]; ++i) printf("%d ", ans[i]); return 0; }
#include <bits/stdc++.h> using namespace std; struct node { int e; int id; }; int n, m; int dfn[100005], low[100005], pcc, cnt; set<int> p[100005], e[100005], ans; stack<int> s; vector<node> g[100005]; void tarjan(int u, int fa) { dfn[u] = low[u] = ++cnt; for (int i = 0; i < g[u].size(); i++) { int v = g[u][i].e; if (v != fa) { if (dfn[v] == 0) { s.push(g[u][i].id); s.push(v); s.push(u); tarjan(v, u); low[u] = min(low[u], low[v]); if (low[v] >= dfn[u]) { int su, sv, sid; pcc++; do { su = s.top(); s.pop(); sv = s.top(); s.pop(); sid = s.top(); s.pop(); p[pcc].insert(su); p[pcc].insert(sv); e[pcc].insert(sid); } while (min(su, sv) != min(u, v) || max(su, sv) != max(u, v)); } } else if (dfn[v] < dfn[u]) { s.push(g[u][i].id); s.push(v); s.push(u); low[u] = min(low[u], dfn[v]); } } } } int main() { cin >> n >> m; for (int i = 1, u, v; i <= m; i++) { cin >> u >> v; g[u].push_back((node){v, i}); g[v].push_back((node){u, i}); } for (int i = 1; i <= n; i++) if (dfn[i] == 0) tarjan(i, 0); for (int i = 1; i <= pcc; i++) if (p[i].size() == e[i].size()) for (set<int>::iterator it = e[i].begin(); it != e[i].end(); it++) ans.insert((*it)); cout << ans.size() << '\n'; for (set<int>::iterator it = ans.begin(); it != ans.end(); it++) cout << (*it) << ' '; return 0; }
#include <bits/stdc++.h> using namespace std; const int N = 200 * 1000 + 555; int n, k, a[N]; int main() { cin >> n >> k; for (int i = 0; i < n; i++) { cin >> a[i]; } sort(a, a + n); a[n++] = int(2e9); int ans = 0, u = 0; for (int i = 0; i < n - 1; i++) { while (u < n && a[i] == a[u]) u++; if (a[u] - a[i] > k) ans++; } cout << ans << endl; return 0; }
#include <bits/stdc++.h> using namespace std; const long long INF = 1e9; int main() { long long n, k; cin >> n >> k; set<long long> s; long long a[1000001] = {}; for (long long i = 0; i < n; i++) { long long temp; cin >> temp; s.insert(temp); a[temp]++; } set<long long>::iterator itr; vector<long long> v; for (itr = s.begin(); itr != s.end(); itr++) v.push_back(*itr); sort(v.begin(), v.end()); long long ans = n; for (long long i = 0; i < v.size(); i++) { if (v[i] < v[i + 1] && v[i] + k >= v[i + 1]) ans -= a[v[i]]; } cout << ans; return 0; }
#include <bits/stdc++.h> using namespace std; double max(double a, double b) { if (a > b) return a; return b; } double min(double a, double b) { if (a > b) return b; return a; } bool comp(string a, string b) { return a.size() < b.size(); } using namespace std; const int N = 200005; int a[N]; int main() { int n, k; cin >> n >> k; for (int i = 1; i <= n; i++) cin >> a[i]; sort(a + 1, a + n + 1); int ans = 0; for (int i = 1; i <= n; i++) { int pos = upper_bound(a + 1, a + n + 1, a[i]) - a; if (pos > n || a[pos] > a[i] + k) ans++; } printf("%d\n", ans); }
#include <bits/stdc++.h> using namespace std; const int maxn = 2e5 + 5; int a[maxn]; int main() { std::ios::sync_with_stdio(false); int n, k; cin >> n >> k; for (int i = 1; i <= n; i++) cin >> a[i]; int tmp = 1; sort(a + 1, a + n + 1); int ans = 0; for (int i = 1; i <= n; i++) { for (; tmp <= n && a[tmp] <= a[i] + k; tmp++) ; if (a[tmp - 1] <= a[i]) ans++; } cout << ans << endl; return 0; }