#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define X first #define Y second #define pb push_back #define rep(X,Y) for (int (X) = 0;(X) < (Y);++(X)) #define reps(X,S,Y) for (int (X) = S;(X) < (Y);++(X)) #define rrep(X,Y) for (int (X) = (Y)-1;(X) >=0;--(X)) #define rreps(X,S,Y) for (int (X) = (Y)-1;(X) >= (S);--(X)) #define repe(X,Y) for ((X) = 0;(X) < (Y);++(X)) #define peat(X,Y) for (;(X) < (Y);++(X)) #define all(X) (X).begin(),(X).end() #define rall(X) (X).rbegin(),(X).rend() #define eb emplace_back #define UNIQUE(X) (X).erase(unique(all(X)),(X).end()) #define Endl endl using namespace std; typedef long long ll; typedef pair pii; typedef pair pll; template using vv=vector>; template ostream& operator<<(ostream &os, const vector &t) { os<<"{"; rep(i,t.size()) {os< ostream& operator<<(ostream &os, const pair &t) { return os<<"("< inline bool MX(T &l,const T &r){return l inline bool MN(T &l,const T &r){return l>r?l=r,1:0;} #define out(args...){vector a_r_g_s=s_p_l_i_t(#args, ','); e_r_r(a_r_g_s.begin(), args); } vector s_p_l_i_t(const string &s, char c){vector v;int d=0,f=0;string t;for(char c:s){if(!d&&c==',')v.pb(t),t="";else t+=c;if(c=='\"'||c=='\'')f^=1;if(!f&&c=='(')++d;if(!f&&c==')')--d;}v.pb(t);return move(v);} void e_r_r(vector::iterator it) {} template void e_r_r(vector::iterator it, T a, Args... args){ if(*it==" 1"||*it=="1") cerr< substr((*it)[0] == ' ', it -> length()) << " = " << a << ", "; e_r_r(++it, args...);} const ll MOD=1e9+7; class Bcc{ vector num,inS; stack roots,st; int cnt; public: vv bcc,tree,tedge; vector brdg,inv; void dfs(const vv &g,const vector &es,int v,int e){ num[v]=++cnt; st.push(v); inS[v]=1; roots.push(v); for(const int &i:g[v])if(i!=e){ int w=es[i].X+es[i].Y-v; if(!num[w]){ dfs(g,es,w,i); }else if(inS[w]){ while(num[roots.top()]>num[w]) roots.pop(); } } if(v==roots.top()){ brdg.pb(e); bcc.pb(vector()); while(1){ int w=st.top(); st.pop(); inS[w]=0; bcc.back().pb(w); if(v==w) break; } roots.pop(); } } Bcc(vv &g,vector es){ const int n=g.size(); num.resize(n); inS.resize(n); int cnt=0; rep(i,n)if(!num[i]){ dfs(g,es,i,-1); brdg.pop_back(); } const int m=bcc.size(); inv.resize(n); rep(i,m) for(const int &v:bcc[i]) inv[v]=i; for(pii &p:es){p.X=inv[p.X]; p.Y=inv[p.Y];} //sort(all(es)); UNIQUE(es); tree.resize(m); tedge.resize(m); int i=0; for(const pii &p:es){ if(p.X!=p.Y){ tree[p.X].pb(p.Y); tree[p.Y].pb(p.X); tedge[p.X].pb(i); tedge[p.Y].pb(i); } ++i; } } }; const int MAX_N=(1<<18); const ll INF=(1ll<<60); int nn=MAX_N; struct Seg{ int mn,ind; Seg(int d=0,int i=1000000){ mn=d; ind=i; } static Seg e; }; Seg Seg::e=Seg(); Seg operator+(Seg l,Seg r){ if(l.mn>r.mn) return l; return r; } //ostream& operator<<(ostream &os, const Seg &t) { return os<<"["< void upd(int k,T a,vector &dat){ k+=dat.size()/2-1; dat[k]=a; while(k>0){ k=(k-1)/2; dat[k]=dat[k*2+1]+dat[k*2+2]; } } //(l,r,0,0,nn) template T query(int a,int b,const vector &dat,int k=0,int l=0,int r=-1){ if(r<0) r=dat.size()/2; if(r<=a || b<=l)return T::e; if(a<=l && r<=b) return dat[k]; T lv=query(a,b,dat,k*2+1,l,(l+r)/2) ,rv= query(a,b,dat,k*2+2,(l+r)/2,r); return lv+rv; } template class RMQ{ vv vals; public: inline T get(int l,int r){//[l,r] if(l==r)return vals[0][l]; const int d=31-__builtin_clz(l^r); //left-most distinct bit return min(vals[d][l],vals[d][r]); } RMQ(){}; RMQ(vector &v,T e=-MOD){ init(v,e); } void init(vector &v,T e){ int n=v.size(); int d=1,N=2; while(N(N,e)); rep(i,n) vals[0][i]=v[i]; reps(i,1,d)rep(j,N){ const int b=(j>>i|1)<>i&1?get(b,j):get(j,b-1); } } }; typedef vv Graph; class Lca{ public: vector dep,cld; vector et; vector l,r; vector wdep; vector par; const int LOGN=20; int weighted; vv wei; RMQ rmq; void dfs(const Graph &g,int root){ int n=g.size(); vector vst(n); stack st; st.push(root); while(!st.empty()){ int v=st.top(); st.pop(); if(vst[v]==1){ vst[v]=2; r[v]=et.size()-1; rep(i,g[v].size())if(g[v][i]!=par[v]) cld[v]+=cld[g[v][i]]+1; if(par[v]>=0) et.eb(dep[par[v]],par[v]); }else if(vst[v]==0){ st.push(v); vst[v]=1; l[v]=et.size(); et.eb(dep[v],v); rep(i,g[v].size())if(!vst[g[v][i]]){ dep[g[v][i]]=dep[v]+1; wdep[g[v][i]]=wdep[v]+(weighted?wei[v][i]:1); par[g[v][i]]=v; st.push(g[v][i]); } } } } Lca(const Graph &g):weighted(0){ int n=g.size(); par.resize(n); dep.resize(n); wdep.resize(n); cld.resize(n); l.resize(n); r.resize(n); dfs(g,0); rmq.init(et,pii(MOD,0)); // rep(i,LOGN-1)rep(v,n) // par[v][i+1]=par[v][i]<0?-1:par[par[v][i]][i]; } Lca(const vv &h):weighted(1){ int n=h.size(); vv g(n); wei.resize(n); rep(i,n) for(pii x:h[i]){ g[i].pb(x.X); wei[i].pb(x.Y); } par.resize(n); dep.resize(n); wdep.resize(n); cld.resize(n); l.resize(n); r.resize(n); dfs(g,0); rmq.init(et,pii(MOD,0)); // rep(i,LOGN-1)rep(v,n) // par[v][i+1]=par[v][i]<0?-1:par[par[v][i]][i]; } int LCA(int v,int w){ v=l[v]; w=l[w]; if(v>w) swap(v,w); return rmq.get(v,w).Y; } ll dist(int v,int w){return wdep[v]+wdep[w]-2*wdep[LCA(v,w)];} }; class HL{ Lca lcaTree; vector parh; int isEdge,n; public: vv mems,edgel; vector inv; vv h; vector hvy,par,etov; vv dats; void dfs2(const Graph &g,int v,int p,vector &usd,vector &mem,vector &edges,vector &edgel){ while(1){ if(usd[v])return; usd[v]=1; mem.pb(v); edgel.pb(edges.size()); if(g[v].size()-(p>=0)==0) return; rep(i,g[v].size())if(g[v][i]!=p && i!=hvy[v]) edges.pb(g[v][i]); p=v; v=g[v][hvy[v]]; } } void HLDec(const Graph &g){ int n=g.size(); inv.resize(n); vector usd(n); rep(i,n)if(!usd[i]){ mems.pb(vector()); h.pb(vector()); edgel.pb(vector()); dfs2(g,i,par[i],usd,mems.back(),h.back(),edgel.back()); rep(j,mems.back().size()) inv[mems.back()[j]]=pii(h.size()-1,j); } rep(i,h.size())for(int &v:h[i]) v=inv[v].X; } void dfs(const Graph &g){ int n=g.size(); hvy.resize(n); par.resize(n,-1); vector mx(n); vector sum(n,1),vst(n); stack st; st.push(0); while(!st.empty()){ int v=st.top(); st.pop(); if(vst[v]==1){ vst[v]=2; rep(i,g[v].size())if(g[v][i]!=par[v]){ sum[v]+=sum[g[v][i]]; mx[v]=max(mx[v],pii(sum[g[v][i]],i)); } hvy[v]=mx[v].Y; }else if(vst[v]==0){ st.push(v); vst[v]=1; rep(i,g[v].size())if(!vst[g[v][i]]){ par[g[v][i]]=v; st.push(g[v][i]); } } } } void constSegTree(const vector &vals){ int m=h.size(); dats.resize(m); rep(i,m){ int nn=1; while(nn &vals){ n=g.size(); dfs(g); HLDec(g); constSegTree(vals); } HL(const Graph &g,const vector &vals):lcaTree(g){ isEdge=0; HLcommon(g,vals); } void upd(int v,Seg val){ ::upd(inv[v].Y,val,dats[inv[v].X]); } //根の方に降りていく処理 Seg sumV(vv &dats,int lca,int cld,int clopen){ if(lca<0 || cld<0)return Seg::e; Seg re=Seg::e; for(pii pos=inv[cld];pos.X!=-1;pos=parh[pos.X]){ if(pos.X==inv[lca].X){ re=query(inv[lca].Y+clopen,pos.Y+1,dats[pos.X])+re; break; }else{ re=query(0,pos.Y+1,dats[pos.X])+re; } //cout<>n>>m>>q; vv g(n); vector es(m); rep(i,m){ int x,y; cin>>x>>y; --x; --y; es[i]=pii(x,y); g[x].pb(i); g[y].pb(i); } Bcc h(g,es); int N=h.tree.size(); vector init(N); rep(i,N) init[i]=Seg(0,i); HL hl(h.tree,init); vector> pqs(N); rep(i,N) pqs[i].push(0); while(q--){ int t,x,y; cin>>t>>x>>y; --x; if(t==1){ int t=h.inv[x]; int tmp=pqs[t].top(); pqs[t].push(y); if(tmp!=pqs[t].top()) hl.upd(t,Seg(pqs[t].top(),t)); }else{ --y; Seg ret=hl.sum(h.inv[x],h.inv[y]); if(ret.mn){ cout<