#include using namespace std; using Int = long long; //BEGIN CUT HERE template struct LinkCutTree{ struct Node{ Node *l,*r,*p; int idx; bool rev; T val,dat; E laz; Node(){} Node(int idx,T val,E laz): idx(idx),rev(0),val(val),dat(val),laz(laz){l=r=p=nullptr;} bool is_root(){ return !p||(p->l!=this&&p->r!=this); } }; using F = function; using G = function; using H = function; using S = function; F f; G g; H h; S s; T ti; E ei; const size_t LIM = 1e6; vector pool; size_t ptr; LinkCutTree(F f,G g,H h,T ti,E ei): f(f),g(g),h(h),ti(ti),ei(ei),pool(LIM),ptr(0){ s=[](T a){return a;}; } LinkCutTree(F f,G g,H h,S s,T ti,E ei): f(f),g(g),h(h),s(s),ti(ti),ei(ei),pool(LIM),ptr(0){} inline Node* create(){ return &pool[ptr++]; } inline Node* create(int idx,T v){ return &(pool[ptr++]=Node(idx,v,ei)); } void propagate(Node *t,E v){ t->laz=h(t->laz,v); t->val=g(t->val,v); t->dat=g(t->dat,v); } void toggle(Node *t){ swap(t->l,t->r); t->dat=s(t->dat); t->rev^=1; } void eval(Node *t){ if(t->laz!=ei){ if(t->l) propagate(t->l,t->laz); if(t->r) propagate(t->r,t->laz); t->laz=ei; } if(t->rev){ if(t->l) toggle(t->l); if(t->r) toggle(t->r); t->rev=false; } } void update(Node *t){ t->dat=t->val; if(t->l) t->dat=f(t->l->dat,t->dat); if(t->r) t->dat=f(t->dat,t->r->dat); } void rotR(Node *t){ Node *x=t->p,*y=x->p; if((x->l=t->r)) t->r->p=x; t->r=x;x->p=t; update(x);update(t); if((t->p=y)){ if(y->l==x) y->l=t; if(y->r==x) y->r=t; update(y); } } void rotL(Node *t){ Node *x=t->p,*y=x->p; if((x->r=t->l)) t->l->p=x; t->l=x;x->p=t; update(x);update(t); if((t->p=y)){ if(y->l==x) y->l=t; if(y->r==x) y->r=t; update(y); } } void splay(Node *t){ eval(t); while(!t->is_root()){ Node *q=t->p; if(q->is_root()){ eval(q);eval(t); if(q->l==t) rotR(t); else rotL(t); }else{ auto *r=q->p; eval(r);eval(q);eval(t); if(r->l==q){ if(q->l==t) rotR(q),rotR(t); else rotL(t),rotR(t); }else{ if(q->r==t) rotL(q),rotL(t); else rotR(t),rotL(t); } } } } Node* expose(Node *t){ Node *rp=nullptr; for(Node *c=t;c;c=c->p){ splay(c); c->r=rp; update(c); rp=c; } splay(t); return rp; } void link(Node *par,Node *c){ expose(c); expose(par); c->p=par; par->r=c; } void cut(Node *c){ expose(c); Node *par=c->l; c->l=nullptr; par->p=nullptr; } void evert(Node *t){ expose(t); toggle(t); eval(t); } bool is_connected(Node *a,Node *b){ expose(a); while(a->l) a=a->l; expose(b); while(b->l) b=b->l; return a==b; } Node *lca(Node *a,Node *b){ expose(a); return expose(b); } void set_propagate(Node *t,E v){ expose(t); propagate(t,v); eval(t); } }; //END CUT HERE //INSERT ABOVE HERE signed GRL_5_C(){ int n; cin>>n; using LCT = LinkCutTree; LCT::F f=[](int a,int b){return min(a,b);}; LCT lc(f,f,f,0,0); vector v(n); for(int i=0;i>k; for(int j=0;j>c; lc.link(v[i],v[c]); } } int q; cin>>q; for(int i=0;i>a>>b; cout<idx<>n; using LCT = LinkCutTree; LCT::F f=[](int a,int b){return a+b;}; LCT lc(f,f,f,0,0); vector v(n); for(int i=0;i>k; for(int j=0;j>c; lc.link(v[i],v[c]); } } int q; cin>>q; for(int i=0;i>t; if(t==0){ int a,b; cin>>a>>b; lc.expose(v[a]); v[a]->val=f(v[a]->val,b); } if(t==1){ int a; cin>>a; lc.expose(v[a]); cout<dat<>n; using P = pair; using LCT = LinkCutTree; auto f=[](P a,P b){return P(a.first+b.first,a.second+b.second);}; auto g=[](P a,int b){return P(a.first+b*a.second,a.second);}; auto h=[](Int a,Int b){return a+b;}; LCT lc(f,g,h,P(0,0),0); vector v(n); for(int i=0;i>k; for(int j=0;j>c; lc.link(v[i],v[c]); } } int q; cin>>q; Int c=0; for(int i=0;i>t; if(t==0){ int a,b; cin>>a>>b; lc.set_propagate(v[a],b); c+=b; } if(t==1){ int a; cin>>a; lc.expose(v[a]); cout<<(v[a]->dat).first-c<; auto f=[](int a,int b){return a+b;}; LCT lct(f,f,f,0,0); vector vs(n); for(int i=0;iidx+1); } } return 0; } /* verified on 2018/06/14 https://beta.atcoder.jp/contests/joisc2013-day4/tasks/joisc2013_spaceships */ signed AOJ_2450(){ int n,q; scanf("%d %d",&n,&q); using T = tuple; using P = pair; using LCT = LinkCutTree; vector > G(n); T d1(-1,-1,-1,-1,-1,-1,-1); P d0(-1,-114514); vector vs(n); vector ps(n,-1); auto f=[&](T a,T b){ int al,ar,as,ava,avi,avl,avr; tie(al,ar,as,ava,avi,avl,avr)=a; int bl,br,bs,bva,bvi,bvl,bvr; tie(bl,br,bs,bva,bvi,bvl,bvr)=b; int cl=al,cr=br,cs=as+bs; int cva=ava+bva,cvi=max(avi,bvi),cvl=avl,cvr=bvr; cvi=max(cvi,avr+bvl); cvl=max(cvl,ava+bvl); cvr=max(cvr,avr+bva); return T(cl,cr,cs,cva,cvi,cvl,cvr); }; auto g=[&](T a,P p){ if(p==d0) return a; int al,ar,as,ava,avi,avl,avr; tie(al,ar,as,ava,avi,avl,avr)=a; int v=p.first,b=p.second; if(~v) al=ar=v,as=1; if(b>=0) return T(al,ar,as,b*as,b*as,b*as,b*as); return T(al,ar,as,b*as,b,b,b); }; auto h=[&](P a,P b){a.first++;return b;}; auto s= [&](T a){ int al,ar,as,ava,avi,avl,avr; tie(al,ar,as,ava,avi,avl,avr)=a; swap(al,ar); swap(avl,avr); return T(al,ar,as,ava,avi,avl,avr); }; LCT lct(f,g,h,s,d1,d0); vector w(n); for(int i=0;i q; q.emplace(0,-1); while(!q.empty()){ int v,p; tie(v,p)=q.front();q.pop(); if(~p) lct.link(vs[p],vs[v]); ps[v]=p; for(int u:G[v]){ if(u==p) continue; q.emplace(u,v); } } } while(q--){ int t,a,b,c; scanf("%d %d %d %d",&t,&a,&b,&c); a--;b--; if(t==1){ lct.evert(vs[a]); lct.set_propagate(vs[b],P(-1,c)); } if(t==2){ lct.evert(vs[a]); lct.expose(vs[b]); int vva,vvi,vvl,vvr; tie(ignore,ignore,ignore,vva,vvi,vvl,vvr)=vs[b]->dat; printf("%d\n",max({vva,vvi,vvl,vvr})); } } return 0; } /* verified on 2018/06/14 http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=2450 */ signed AOJ_0367(){ int n,k; cin>>n>>k; vector > G(n); vector > m(n); for(Int i=0;i>a>>b>>c; G[a].emplace_back(b); G[b].emplace_back(a); m[a][b]=m[b][a]=c; } vector w(n,0); vector ps(n,-1); using T = tuple; auto mget=[&](Int a,Int b){ if(ps[a]!=b&&ps[b]!=a) return 0LL; Int res=w[a]+w[b]+m[a][b]; if(res%k) return res; return 0LL; }; auto f=[&](T a,T b){ if(a>b) swap(a,b); Int al,ar,av; tie(al,ar,av)=a; Int bl,br,bv; tie(bl,br,bv)=b; if(al<0||ar<0) return b; Int cl,cr,cv=av+bv; if(m[al].count(bl)){ cl=ar;cr=br; cv+=mget(al,bl); }else if(m[al].count(br)){ cl=ar;cr=bl; cv+=mget(al,br); }else if(m[ar].count(bl)){ cl=al;cr=br; cv+=mget(ar,bl); }else if(m[ar].count(br)){ cl=al;cr=bl; cv+=mget(ar,br); }else{ cl=cr=cv=-1; } return T(cl,cr,cv); }; auto g=[&](T a,Int b){b++;return a;}; auto h=[&](Int a,Int b){b++;return a;}; using LCT = LinkCutTree; LCT lct(f,g,h,T(-1,-1,0),0); vector vs(n); for(Int i=0;i; queue

q; q.emplace(0,-1); while(!q.empty()){ int v,p; tie(v,p)=q.front();q.pop(); if(~p) lct.link(vs[p],vs[v]); ps[v]=p; for(int u:G[v]){ if(u==p) continue; q.emplace(u,v); } } } Int q; cin>>q; while(q--){ string op; cin>>op; if(op=="add"){ Int x,d; cin>>x>>d; lct.expose(vs[x]); w[x]+=d; lct.update(vs[x]); } if(op=="send"){ Int s,t; cin>>s>>t; lct.evert(vs[s]); lct.expose(vs[t]); cout<(vs[t]->dat)<; using LCT = LinkCutTree; auto f=[MOD](M x,M y){ M r(0,0,0,0); r.a=x.a*y.a+x.b*y.c; r.b=x.a*y.b+x.b*y.d; r.c=x.c*y.a+x.d*y.c; r.d=x.c*y.b+x.d*y.d; r.a%=MOD;r.b%=MOD;r.c%=MOD;r.d%=MOD; return r; }; auto f2=[&](M2 x,M2 y){ return M2(f(x.first,y.first),f(y.second,x.second)); }; auto g=[](M2 x,M2 y){x.first.a++;return y;}; auto s=[](M2 x){swap(x.first,x.second);return x;}; int n; cin>>n; vector > G(n); vector X,Y; for(int i=1;i>a>>b; X.emplace_back(a); Y.emplace_back(b); G[a].emplace_back(b); G[b].emplace_back(a); } M ti=M(); M ei(-1,-1,-1,-1); LCT lct(f2,g,g,s,M2(ti,ti),M2(ei,ei)); vector vs(n*2-1); for(int i=0;i<(int)vs.size();i++) vs[i]=lct.create(i,M2(ti,ti)); vector > rev(n); int idx=n; { using P = pair; queue

q; q.emplace(0,-1); while(!q.empty()){ int v,p; tie(v,p)=q.front();q.pop(); if(~p){ lct.link(vs[p],vs[idx]); lct.link(vs[idx],vs[v]); rev[p][v]=rev[v][p]=idx++; } for(int u:G[v]) if(u!=p) q.emplace(u,v); } } int q; cin>>q; for(int i=0;i>c; if(c=='x'){ Int v,a,b,c,d; cin>>v>>a>>b>>c>>d; int z=rev[X[v]][Y[v]]; lct.expose(vs[z]); vs[z]->val=M2(M(a,b,c,d),M(a,b,c,d)); lct.expose(vs[z]); } if(c=='g'){ Int x,y; cin>>x>>y; lct.evert(vs[x]); lct.expose(vs[y]); M ans=vs[y]->dat.first; cout<