#include using namespace std; using int64 = long long; const int mod = 1e9 + 7; // const int mod = 998244353; const int64 infll = (1LL << 62) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in : v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e, v); } template< typename F > struct FixPoint : F { FixPoint(F &&f) : F(forward< F >(f)) {} template< typename... Args > decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward< Args >(args)...); } }; template< typename F > inline decltype(auto) MFP(F &&f) { return FixPoint< F >{forward< F >(f)}; } template< typename T = int > struct Edge { int from, to; T cost; int idx; Edge() = default; Edge(int from, int to, T cost = 1, int idx = -1) : from(from), to(to), cost(cost), idx(idx) {} operator int() const { return to; } }; template< typename T = int > struct Graph { vector< vector< Edge< T > > > g; int es; Graph() = default; explicit Graph(int n) : g(n), es(0) {} size_t size() const { return g.size(); } void add_directed_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es++); } void add_edge(int from, int to, T cost = 1) { g[from].emplace_back(from, to, cost, es); g[to].emplace_back(to, from, cost, es++); } void read(int M, int padding = -1, bool weighted = false, bool directed = false) { for(int i = 0; i < M; i++) { int a, b; cin >> a >> b; a += padding; b += padding; T c = T(1); if(weighted) cin >> c; if(directed) add_directed_edge(a, b, c); else add_edge(a, b, c); } } }; template< typename T = int > using Edges = vector< Edge< T > >; /** * @brief Namori-Graph * @docs docs/namori-graph.md */ template< typename T = int > struct NamoriGraph : Graph< T > { public: using Graph< T >::Graph; using Graph< T >::g; vector< Graph< T > > forest; Edges< T > loop_edges; struct Info { int forest_id, id; }; Info operator[](const int &k) const { return (Info) {mark_id[k], id[k]}; } int inv(int forest_id, int k) { return iv[forest_id][k]; } size_t loop_size() { return forest.size(); } void build() { int n = (int) g.size(); vector< int > deg(n), used(n); queue< int > que; for(int i = 0; i < n; i++) { deg[i] = (int) g[i].size(); if(deg[i] == 1) { que.emplace(i); used[i] = true; } } while(not que.empty()) { int idx = que.front(); que.pop(); for(auto &e : g[idx]) { if(used[e.to]) { continue; } --deg[e.to]; if(deg[e.to] == 1) { que.emplace(e.to); used[e.to] = true; } } } int mx = 0; for(auto &edges : g) { for(auto &e : edges) mx = max(mx, e.idx); } vector< int > edge_used(mx + 1); vector< int > loop; for(int v = 0; v < n; v++) { if(!used[v]) { for(bool update = true; update;) { update = false; loop.emplace_back(v); for(auto &e : g[v]) { if(used[e.to] or edge_used[e.idx]) { continue; } edge_used[e.idx] = true; loop_edges.emplace_back(loop.size() - 1, loop.size(), e.cost, e.idx); v = e.to; update = true; break; } } break; } } loop.pop_back(); loop_edges.back().to = 0; mark_id.resize(n); id.resize(n); int ptr = 0; for(int i = 0; i < (int) loop.size(); i++) { int pre = loop[(i + loop.size() - 1) % loop.size()]; int nxt = loop[(i + 1) % loop.size()]; int sz = 0; mark_id[loop[i]] = ptr; iv.emplace_back(); id[loop[i]] = sz++; iv.back().emplace_back(loop[i]); for(auto &e : g[loop[i]]) { if(e.to != pre and e.to != nxt) { mark_dfs(e.to, loop[i], ptr, sz); } } Graph< T > tree(sz); for(auto &e : g[loop[i]]) { if(e.to != pre and e.to != nxt) { tree.g[id[loop[i]]].emplace_back(id[loop[i]], id[e.to], e.cost, e.idx); tree.g[id[e.to]].emplace_back(id[e.to], id[loop[i]], e.cost, e.idx); build_dfs(e.to, loop[i], tree); } } forest.emplace_back(tree); } } private: vector< vector< int > > iv; vector< int > mark_id, id; void mark_dfs(int idx, int par, int k, int &l) { mark_id[idx] = k; id[idx] = l++; iv.back().emplace_back(idx); for(auto &e : g[idx]) { if(e.to != par) { mark_dfs(e.to, idx, k, l); } } } void build_dfs(int idx, int par, Graph< T > &tree) { for(auto &e : g[idx]) { if(e.to != par) { tree.g[id[idx]].emplace_back(id[idx], id[e.to], e.cost, e.idx); tree.g[id[e.to]].emplace_back(id[e.to], id[idx], e.cost, e.idx); build_dfs(e.to, idx, tree); } } } }; int main() { int N; cin >> N; NamoriGraph< int > g(N); g.read(N); g.build(); vector< int > ans; for(auto &e : g.loop_edges) { ans.emplace_back(e.idx + 1); } sort(begin(ans), end(ans)); cout << ans.size() << "\n"; cout << ans << "\n"; }