Submission #1014148

#TimeUsernameProblemLanguageResultExecution timeMemory
1014148WarinchaiJOI tour (JOI24_joitour)C++17
0 / 100
78 ms85532 KiB
#include "joitour.h" #include<bits/stdc++.h> using namespace std; struct info{ long long t1,t3,s1,s3,ans,chsz; info(long long _t1=0,long long _t3=0,long long _s1=0,long long _s3=0,long long _ans=0,long long _chsz=0){ t1=_t1,t3=_t3,s1=_s1,s3=_s3,ans=_ans,chsz=_chsz; } friend info operator+(info a,info b){ info c; c.t1=a.t1+b.t1; c.t3=a.t3+b.t3; c.s1=a.s1+b.s1+a.chsz*b.t1; c.s3=a.s3+b.s3+a.chsz*b.t3; c.ans=a.ans+b.ans+a.t1*b.s3+a.t3*b.s1+b.t1*a.s3+b.t3*a.s1; c.chsz=a.chsz+b.chsz; return c; } }; info datas[800005]; struct stttree{ int hv[800005],type[800005],l[800005],r[800005],p[800005],id,n,rt; vector<vector<int>>adj; int dfs(int u,int p){ int sz=1,mx=0; for(auto v:adj[u])if(v!=p){ int csz=dfs(v,u); if(csz>mx)hv[u]=v,mx=csz; sz+=csz; } return sz; } void build(vector<vector<int>>_adj,int _n){ n=_n; id=_n-1; adj=_adj; for(int i=0;i<=4*n;i++)hv[i]=type[i]=l[i]=r[i]=p[i]=-1; dfs(0,-1); rt=compress(0).first; } int add(int i,int lch,int rch,int t){ if(i==-1)i=++id; p[i]=-1,type[i]=t; if(lch!=-1)l[i]=lch,p[lch]=i; if(rch!=-1)r[i]=rch,p[rch]=i; return i; } pair<int,int>merge(vector<pair<int,int>>v,int t){ if(v.size()==1)return v[0]; int sz=0; vector<pair<int,int>>l,r; for(auto x:v)sz+=x.second; for(auto x:v){ if(sz>x.second)l.push_back(x); else r.push_back(x); sz-=2*x.second; } auto lch=merge(l,t); auto rch=merge(r,t); return {add(-1,lch.first,rch.first,t),lch.second+rch.second}; } pair<int,int>compress(int i){ vector<pair<int,int>>v; for(;i!=-1;i=hv[i])v.push_back(add_vertex(i)); return merge(v,1); } pair<int,int>add_vertex(int i){ auto x=rake(i); return {add(i,x.first,-1,(x.first==-1?3:2)),x.second+1}; } pair<int,int>rake(int i){ vector<pair<int,int>>v; for(auto x:adj[i])if(x!=hv[i])v.push_back(add_edge(x)); return v.empty()?make_pair(-1,0):merge(v,4); } pair<int,int>add_edge(int i){ auto x=compress(i); return {add(-1,x.first,-1,5),x.second}; } void print(){ for(int i=0;i<=id;i++){ cerr<<i<<":"<<datas[i].t1<<" "<<datas[i].t3<<" "<<datas[i].s1<<" "<<datas[i].s3<<" "<<datas[i].ans<<"\n"; } } }tr; vector<vector<int>>adj; int n; int ar[200005]; info compress(info l,info r){ return l+r; } info add_vertex(info u,int i){ if(ar[i]==1){ u.t1++; return u; }else if(ar[i]==3){ u.t3++; return u; }else{ u.s1+=u.t1; u.s3+=u.t3; u.chsz++; return u; } } info vertex(int i){ info u; if(ar[i]==1)u.t1++; if(ar[i]==3)u.t3++; if(ar[i]==2)u.chsz++; return u; } info rake(info a,info b){ return a+b; } info add_edge(info a){ a.chsz=0; return a; } void upd(int i,int t){ if(t==1){ datas[i]=compress(datas[tr.l[i]],datas[tr.r[i]]); }else if(t==2){ datas[i]=add_vertex(datas[tr.l[i]],i); }else if(t==3){ datas[i]=vertex(i); }else if(t==4){ datas[i]=rake(datas[tr.l[i]],datas[tr.r[i]]); }else{ datas[i]=add_edge(datas[tr.l[i]]); } } void dfs(int u,int p){ //cerr<<u<<"\n"; if(tr.l[u]!=-1)dfs(tr.l[u],u); if(tr.r[u]!=-1)dfs(tr.r[u],u); upd(u,tr.type[u]); } void init(int N, std::vector<int> F, std::vector<int> U, std::vector<int> V, int Q) { //cerr<<"work\n"; adj.resize(n=N); for(int i=0;i<n;i++)ar[i]=F[i]+1; //for(int i=0;i<n;i++)cerr<<ar[i]<<"\n"; for(int i=0;i<n-1;i++)adj[U[i]].push_back(V[i]); tr.build(adj,n); //cerr<<"work\n"; dfs(tr.rt,-1); //tr.print(); //cerr<<"\n"; //cerr<<"work\n"; } void change(int X, int Y) { ar[X]=++Y; for(;X!=-1;X=tr.p[X])upd(X,tr.type[X]); //cerr<<"upd:"<<X<<" "<<Y<<"\n"; //tr.print(); } long long num_tours() { //tr.print(); return datas[tr.rt].ans; }
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