#include #define ll long long #define INF 1000000005 #define MOD 1000000007 #define EPS 1e-10 #define rep(i,n) for(int i=0;i<(int)(n);++i) #define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i) #define srep(i,s,t) for(int i=(int)(s);i<(int)(t);++i) #define each(a,b) for(auto (a): (b)) #define all(v) (v).begin(),(v).end() #define len(v) (int)(v).size() #define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end()) #define cmx(x,y) x=max(x,y) #define cmn(x,y) x=min(x,y) #define fi first #define se second #define pb push_back #define show(x) cout<<#x<<" = "<<(x)< P; typedef pair pll; typedef vector vi; typedef vector vvi; typedef vector vl; typedef vector vvl; typedef vector vd; typedef vector

vp; typedef vector vs; const int MAX_N = 100005; class HLdecomposition{ private: struct Centroid{ int parid, pardepth, depth, sz; //親のパスのid,親のノードは親のパスの何番目,パスの深さ,属する頂点の数 Centroid(int idx, int dep, int deep, int size) : parid(idx), pardepth(dep), depth(deep), sz(size){} inline P Up(){ return P(parid, pardepth); } }; int V; vector > G; //何番目のパスに属するか,そのパスの何番目か vector stsize, nxpath, pathorder, pathid, index; vector centroids; //パスが格納 void BuildStsize(int u, int p){ stsize[u] = 1; for(int v : G[u]){ if(v == p) continue; BuildStsize(v, u); stsize[u] += stsize[v]; if(nxpath[u] == -1 || stsize[v] > stsize[nxpath[u]]){ nxpath[u] = v; } } } void BuildPath(int u, int p){ pathid[u] = centroids[pathorder[u]].sz - 1; for(int v : G[u]){ if(v == p) continue; if(v == nxpath[u]){ // Centroid-Pathについて pathorder[v] = pathorder[u]; centroids[pathorder[u]].sz++; }else{ // Centroid-Pathでないものについて pathorder[v] = (int)centroids.size(); centroids.emplace_back(pathorder[u], pathid[u], centroids[pathorder[u]].depth + 1, 1); } BuildPath(v, u); } } void BuildIndex(){ int ptr = 0; for(auto& centroid : centroids){ index.push_back(ptr); ptr += centroid.sz; } } public: void add_edge(int u, int v){ G[u].push_back(v), G[v].push_back(u); } void build(){ BuildStsize(0, -1); BuildPath(0, -1); BuildIndex(); } //元の頂点のインデックスの配列上でのidを返す int get(int a){ return index[pathorder[a]] + pathid[a]; } void query(int a, int b, const function< void(int, int) > &func) { int pathidA = pathorder[a], pathdepthA = pathid[a]; int pathidB = pathorder[b], pathdepthB = pathid[b]; while(pathidA != pathidB) { if(centroids[pathidA].depth > centroids[pathidB].depth) { func(index[pathidA], index[pathidA] + pathdepthA + 1); pathdepthA = centroids[pathidA].pardepth, pathidA = centroids[pathidA].parid; }else{ func(index[pathidB], index[pathidB] + pathdepthB + 1); pathdepthB = centroids[pathidB].pardepth, pathidB = centroids[pathidB].parid; } } if(pathdepthA > pathdepthB) swap(pathdepthA, pathdepthB); func(index[pathidA] + pathdepthA, index[pathidA] + pathdepthB + 1); } void construct(int node_size){ V = node_size; G.resize(V), stsize.resize(V, -1), nxpath.resize(V, -1), pathorder.resize(V, -1), pathid.resize(V, -1); pathorder[0] = 0, centroids.emplace_back(-1, -1, 0, 1); } }; class biconnected{ public: vector > G,tree; vector ord,low,cmp; vector > check; vector

bridge; vector visit; int V,kind; biconnected(int node_size){ V = node_size; kind = 0; G.resize(V); check.resize(V),ord.resize(V),low.resize(V); cmp.resize(V),visit.resize(V,false); } void build(){ int id = 0; rep(i,V){ if(!visit[i]){ dfs(i,-1,id); } } } void dfs(int v,int p,int &k) { visit[v] = true; ord[v] = k++; low[v] = ord[v]; rep(i,(int)G[v].size()){ int w = G[v][i]; if(!visit[w]){ dfs(w,v,k); low[v] = min(low[v],low[w]); if(ord[v] < low[w]){ bridge.pb(P(v,w)); check[v][i].second = 1; check[w][check[v][i].first].second = 1; } //(v,w)は後退辺 }else if(w != p){ low[v] = min(low[v],ord[w]); } } } void add_edge(int u,int v) { G[u].push_back(v),G[v].push_back(u); check[u].push_back(P((int)check[v].size(),0)); check[v].push_back(P((int)check[u].size()-1,0)); } void restrict_dfs(int u,int p,int kind,queue& que) { visit[u] = true; cmp[u] = kind; rep(i,(int)G[u].size()){ int w = G[u][i]; if(check[u][i].second){ if(!visit[w]){ que.push(w); } }else if(!visit[w]){ restrict_dfs(w,u,kind,que); } } } void rebuild() { fill(visit.begin(),visit.end(),false); rep(i,V){ if(!visit[i]){ queue que; que.push(i); while(!que.empty()){ int p = que.front(); que.pop(); restrict_dfs(p,-1,kind,que); kind++; } } } } // auxiliary graph を作る void make_bctree(HLdecomposition& hl) { rebuild(); hl.construct(kind); rep(i,(int)bridge.size()){ hl.add_edge(cmp[bridge[i].first],cmp[bridge[i].second]); } } }; template class segtree { private: int n,sz; vector node; vector node_id; public: segtree(vector& v){ sz = (int)v.size(); n = 1; while(n < sz){ n *= 2; } node.resize(2*n-1),node_id.resize(2*n-1); rep(i,sz){ node[i+n-1] = v[i]; node_id[i+n-1] = i; } for(int i=n-2; i>=0; i--){ if(node[2*i+1] > node[2*i+2]){ node[i] = node[2*i+2]; node_id[i] = node_id[2*i+2]; }else{ node[i] = node[2*i+1]; node_id[i] = node_id[2*i+1]; } } } void update(int k,int a) { k += n-1; node[k] = a,node_id[k] = k-(n-1); while(k>0){ k = (k-1)/2; if(node[2*k+1] < node[2*k+2]){ node[k] = node[2*k+1],node_id[k] = node_id[2*k+1]; }else{ node[k] = node[2*k+2],node_id[k] = node_id[2*k+2]; } } } pair query(int a,int b,int k=0,int l=0,int r=-1) { if(r < 0) r = n; if(r <= a || b <= l){ return pair(numeric_limits::max(),-1); } if(a <= l && r <= b){ return pair(node[k],node_id[k]); }else{ pair vl = query(a,b,2*k+1,l,(l+r)/2); pair vr = query(a,b,2*k+2,(l+r)/2,r); return min(vl,vr); } } void print() { rep(i,sz){ pair p; p = query(i,i+1); cout << "st[" << i << "]: " << p.fi << " " << p.se << endl; } } }; int main() { int n,m,q; scanf("%d%d%d",&n,&m,&q); biconnected bc(n); rep(i,m){ int u,v; scanf("%d%d",&u,&v); bc.add_edge(u-1,v-1); } bc.build(); HLdecomposition hl; bc.make_bctree(hl); hl.build(); int& kind = bc.kind; vi& cmp = bc.cmp; vi u(kind,0); vector > que(kind); vector mx(kind,0); vector trans(kind); vector unzip(kind); rep(i,kind){ int res = hl.get(i); trans[i] = res; unzip[res] = i; } segtree seg(u); rep(i,q){ int p,q,r; scanf("%d%d%d",&p,&q,&r); if(p == 1){ int id = cmp[q-1]; que[id].push(r); if(mx[id] < r){ mx[id] = r; seg.update(trans[id],-r); } }else{ int id1 = cmp[q-1],id2 = cmp[r-1]; P ans = P(0,-1); hl.query(id1,id2,[&](int l, int r){ ans = min(ans,seg.query(l, r)); }); if(ans.fi == 0){ printf("-1\n"); }else{ int real_id = unzip[ans.se]; que[real_id].pop(); if(que[real_id].empty()){ seg.update(ans.se,0); mx[real_id] = 0; }else{ int res = que[real_id].top(); seg.update(ans.se,-res); mx[real_id] = res; } printf("%d\n", -ans.fi); } } } }