#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; namespace { using Integer = long long; //__int128; template istream& operator >> (istream& is, pair& p){return is >> p.first >> p.second;} template istream& operator >> (istream& is, vector& vec){for(T& val: vec) is >> val; return is;} template istream& operator , (istream& is, T& val){ return is >> val;} template ostream& operator << (ostream& os, const pair& p){return os << p.first << " " << p.second;} template ostream& operator << (ostream& os, const vector& vec){for(size_t i=0; i ostream& operator , (ostream& os, const T& val){ return os << " " << val;} template void print(const H& head){ cout << head; } template void print(const H& head, const T& ... tail){ cout << head << " "; print(tail...); } template void println(const T& ... values){ print(values...); cout << endl; } template void eprint(const H& head){ cerr << head; } template void eprint(const H& head, const T& ... tail){ cerr << head << " "; eprint(tail...); } template void eprintln(const T& ... values){ eprint(values...); cerr << endl; } class range{ Integer start_, end_, step_; public: struct range_iterator{ Integer val, step_; range_iterator(Integer v, Integer step) : val(v), step_(step) {} Integer operator * (){return val;} void operator ++ (){val += step_;} bool operator != (range_iterator& x){return step_ > 0 ? val < x.val : val > x.val;} }; range(Integer len) : start_(0), end_(len), step_(1) {} range(Integer start, Integer end) : start_(start), end_(end), step_(1) {} range(Integer start, Integer end, Integer step) : start_(start), end_(end), step_(step) {} range_iterator begin(){ return range_iterator(start_, step_); } range_iterator end(){ return range_iterator( end_, step_); } }; inline string operator "" _s (const char* str, size_t size){ return move(string(str)); } constexpr Integer my_pow(Integer x, Integer k, Integer z=1){return k==0 ? z : k==1 ? z*x : (k&1) ? my_pow(x*x,k>>1,z*x) : my_pow(x*x,k>>1,z);} constexpr Integer my_pow_mod(Integer x, Integer k, Integer M, Integer z=1){return k==0 ? z%M : k==1 ? z*x%M : (k&1) ? my_pow_mod(x*x%M,k>>1,M,z*x%M) : my_pow_mod(x*x%M,k>>1,M,z);} constexpr unsigned long long operator "" _ten (unsigned long long value){ return my_pow(10,value); } inline int k_bit(Integer x, int k){return (x>>k)&1;} //0-indexed mt19937 mt(chrono::duration_cast(chrono::steady_clock::now().time_since_epoch()).count()); template string join(const vector& v, const string& sep){ stringstream ss; for(size_t i=0; i0) ss << sep; ss << v[i]; } return ss.str(); } inline string operator * (string s, int k){ string ret; while(k){ if(k&1) ret += s; s += s; k >>= 1; } return ret; } } constexpr long long mod = 9_ten + 7; struct edge{ int to; int id; }; class Bridge{ int size; vector> G; vector v; vector is_bridge; int num_bridge; public: vector> bridge; vector component; vector> new_Graph; //pre-calc void first_dfs(int pos, vector& visit, vector& used){ if(visit[pos]){ v[pos]--; return; } visit[pos] = true; for(int i=0; i& visit){ visit[pos] = true; int ret = v[pos]; for(int i=0; i& visit){ visit[pos] = true; for(int i=0; i>& g, int e_size) : G(g), size(g.size()), v(g.size()), is_bridge(e_size, false), num_bridge(0) { vector visit(size, false); vector used(e_size, false); for(int i=0; i element; int depth; int parent_vertex; heavy_set(int v, int d, int par) : element(1,v), depth(d), parent_vertex(par){} }; vector>& G; vector S; vector subtree_size; vector set_index; vector ele_index; private: int get_subtree_size(int pos, int par){ int sz = 1; for(int ch : G[pos]){ if(ch == par) continue; sz += get_subtree_size(ch, pos); } return subtree_size[pos] = sz; } void make_path(int pos, int par, int set_id){ set_index[pos] = set_id; ele_index[pos] = S[set_id].element.size()-1; int largest_child = -1; int value = 0; for(int ch : G[pos]){ if(ch == par) continue; if(value < subtree_size[ch]){ value = subtree_size[ch]; largest_child = ch; } } for(int ch : G[pos]){ if(ch == par) continue; if(largest_child == ch){ S[set_id].element.push_back(ch); make_path(ch, pos, set_id); }else{ S.emplace_back( ch, S[set_id].depth+1, pos ); make_path(ch, pos, S.size()-1); } } } void init(int root){ subtree_size.resize(G.size(), 0); get_subtree_size(root,root); set_index.resize(G.size(), 0); ele_index.resize(G.size(), 0); S.emplace_back( root,0,root ); make_path( root, root, 0 ); subtree_size.clear(); } public: HeavyLightDecomposition(vector>& G_, int root = 0) : G(G_){ init(root); } //set_index, element_index //S[set_index].element[element_index] == v pair get_position(int v){ return {set_index[v], ele_index[v]}; } }; template class SegmentTree{ int n; vector V; Value DEFAULT_VALUE; //evaluation function static Value default_evaluate(Value a, Value b){ return max(a,b); } function< Value(Value, Value) > evaluate; //return evaluated value in [a,b) //T[at] covers [l,r) Value RangeEvaluation(int a, int b, int at, int l, int r){ //out of range if(r <= a || b <= l) return DEFAULT_VALUE; //covered if(a <= l && r <= b) return V[at]; //partially covered else{ Value val_left = RangeEvaluation(a,b, at*2+1, l, (l+r)/2); Value val_right = RangeEvaluation(a,b, at*2+2, (l+r)/2, r); return evaluate(val_left, val_right); } } public: SegmentTree(int size, Value DEFAULT = 0, function< Value(Value, Value) > eval = default_evaluate){ DEFAULT_VALUE = DEFAULT; evaluate = eval; n=1; while(n(2*n - 1, DEFAULT_VALUE); } void update(int at, Value new_val){ at += n-1; V[at] = new_val; while(at>0){ at = (at-1)/2; V[at] = evaluate(V[at*2 + 1], V[at*2 + 2]); } } //return evaluated value in [l,r) Value RangeEvaluation(int l, int r){ if(l>=r) return DEFAULT_VALUE; if(l>=n) return DEFAULT_VALUE; return RangeEvaluation(l,r, 0, 0, n); } }; int LCA(HeavyLightDecomposition& T, int u, int v){ auto pu = T.get_position(u); auto pv = T.get_position(v); if(pu.first == pv.first){ return pu.second < pv.second ? u : v; } if(T.S[pu.first].depth > T.S[pv.first].depth){ swap(pu, pv); swap(u,v); } while(T.S[pu.first].depth != T.S[pv.first].depth){ v = T.S[pv.first].parent_vertex; pv = T.get_position( v ); } while(pu.first != pv.first){ u = T.S[pu.first].parent_vertex; v = T.S[pv.first].parent_vertex; pu = T.get_position(u); pv = T.get_position(v); if(T.S[pv.first].depth == 0) break; if(T.S[pv.first].depth == 0) break; } if(pu.first == pv.first){ return pu.second < pv.second ? u : v; }else{ abort(); } return -1; } int main(){ int n,m,q; cin >> n,m,q; vector> G(n); for(int i : range(m)){ int a,b; cin >> a,b; a--; b--; G[a].push_back( edge{b, i} ); G[b].push_back( edge{a, i} ); } Bridge B(G, m); vector>& g = B.new_Graph; vector& c = B.component; vector> z(g.size()); HeavyLightDecomposition h(g); vector> seg; seg.reserve(h.S.size()); for(int i=0; i memo; for(int i=0; i> t; if(t==1){ int u,w; cin >> u,w; u--; u = c[u]; memo[w] = u; z[ u ].push(w); auto p = h.get_position( u ); int s_i = p.first; int e_i = p.second; seg[s_i].update( e_i, z[u].top() ); }else if(t==2){ int s,t; cin >> s,t; s--; t--; s = c[s]; t = c[t]; int p = LCA(h, s,t); int mx = 0; for(int j=0; j<2; j++){ while(h.get_position(s).first != h.get_position(p).first){ auto pp = h.get_position(s); auto s_i = pp.first; auto e_i = pp.second; int tmp = seg[s_i].RangeEvaluation(0, e_i+1); mx = max(mx, tmp); s = h.S[s_i].parent_vertex; } { auto ps = h.get_position(s); auto pp = h.get_position(p); int tmp = seg[ps.first].RangeEvaluation( pp.second, ps.second+1 ); mx = max(mx, tmp); } swap(s,t); } if(mx == 0){ println(-1); }else{ int u = memo[mx]; z[u].pop(); auto p = h.get_position( u ); int s_i = p.first; int e_i = p.second; seg[s_i].update( e_i, z[u].size()==0 ? 0 : z[u].top() ); println(mx); } }else{ println("unko"); abort(); } } return 0; }