| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
|---|---|---|---|---|---|---|---|
| 233044 | FieryPhoenix | Islands (IOI08_islands) | C++11 | 0 ms | 0 KiB |
이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#pragma comment(linker, "/STACK: 2000000")
//#pragma GCC target ("avx2")
//#pragma GCC optimization ("O3")
//#pragma GCC optimization ("unroll-loops")
#include <bits/stdc++.h>
using namespace std;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
typedef long long ll;
typedef long double ld;
#define INF 2001001001
#define MOD 1000000007
#define f first
#define s second
int N;
vector<pair<int,int>>adj[1000001];
bool vis[1000001];
ll ans;
int C;
int cycle[1000001],adjDis[1000001];
ll deepest[1000001];
int bad,bad2;
ll maxCur;
map<pair<int,int>,int>mp;
ll pref[1000001],suff[1000001];
void findCycle(int node, int par){
//cout<<"findCycle: "<<node<<endl;
vis[node]=true;
for (auto p:adj[node]){
if (C==0 && vis[p.first] && p.first!=par){ //found cycle
C=0;
//cout<<"found cycle"<<endl;
int cur=node;
while (cur!=p.first){
cycle[C]=cur;
adjDis[C]=deepest[cur]; //fromDis
C++;
cur=pref[cur]; //from
}
cycle[C]=p.first;
adjDis[C]=p.second;
C++;
}
else if (!vis[p.first]){
pref[p.first]=node; //from
deepest[p.first]=p.second; //fromDis
findCycle(p.first,node);
}
}
}
ll maxDis,maxNode;
queue<pair<pair<int,int>,ll>>q;
void findFarthest(int node0, int par0, ll dis0){
maxDis=-1; maxNode=-1;
q.push({{node0,par0},dis0});
while (!q.empty()){
pair<pair<int,int>,ll>P=q.front();
q.pop();
int node=P.f.f;
int par=P.f.s;
ll dis=P.s;
if (dis>maxDis){
maxDis=dis;
maxNode=node;
}
for (auto p:adj[node]){
if (p.first!=par && p.first!=bad && p.first!=bad2)
q.push({{p.first,node},dis+p.second});
}
}
}
ll findDiameter(int node){
findFarthest(node,node,0);
int newNode=maxNode;
findFarthest(newNode,newNode,0);
return maxDis;
}
int main()
{
scanf("%d",&N);
for (int i=1;i<=N;i++){
int Y,L;
scanf("%d%d",&Y,&L);
int x=i,y=Y;
if (x>y) swap(x,y);
mp[{x,y}]=max(mp[{x,y}],L);
}
for (auto it:mp){
//cout<<"edge: "<<it.first.first<<' '<<it.first.second<<endl;
adj[it.f.f].push_back({it.f.s,it.s});
adj[it.f.s].push_back({it.f.f,it.s});
}
mp.clear();
for (int i=1;i<=N;i++)
if (!vis[i]){
//cout<<"Component: "<<i<<endl;
C=0;
findCycle(i,i);
/*
cout<<"Cycle: ";
for (int i=0;i<C;i++)
cout<<cycle[i]<<' '<<adjDis[i]<<endl;;
cout<<endl;
*/
if (C==0){
//cout<<"multiEdge: "<<findDiameter(i)<<endl;
ans+=findDiameter(i);
continue;
}
maxCur=0;
for (int i=0;i<C;i++){
pref[i]=0;
suff[i]=0;
int inFront=cycle[(i+1)%C];
int inBack=cycle[(i-1+C)%C];
//adjDis[i]=mp[{min(cycle[i],inFront),max(cycle[i],inFront)}];
bad=inFront;
bad2=inBack;
maxCur=max(maxCur,findDiameter(cycle[i]));
findFarthest(cycle[i],cycle[i],0);
deepest[i]=maxDis;
}
ll temp=0,temp2=0;
for (int i=0;i<C;i++){
if (i>0){
pref[i]=temp+adjDis[i-1];
temp=pref[i];
pref[i]=max(temp2,pref[i]+deepest[i]);
temp2=pref[i];
}
else{
pref[i]=deepest[i];
temp2=pref[i];
}
}
/*
cout<<"deepest: "<<' ';
for (int x:deepest)
cout<<x<<' ';
cout<<endl;
cout<<"adjDis: "<<' ';
for (int x:adjDis)
cout<<x<<' ';
cout<<endl;
cout<<"pref: ";
for (int i=0;i<C;i++)
cout<<pref[i]<<' ';
cout<<endl;
*/
temp=0; temp2=0;
for (int i=C-1;i>=0;i--){
if (i+1<C){
suff[i]=temp+adjDis[i];
temp=suff[i];
suff[i]=max(temp2,suff[i]+deepest[i]);
temp2=suff[i];
}
else{
suff[i]=deepest[i];
temp2=suff[i];
}
}
for (int i=0;i+1<C;i++){
//cout<<i<<": "<<adjDis.back()<<' '<<pref2[i]<<' '<<suff2[i+1]<<endl;
maxCur=max(maxCur,adjDis[C-1]+pref2[i]+suff[i+1]);
}
ll sweep=0;
for (int i=0;i<C;i++){
maxCur=max(maxCur,sweep+deepest[i]);
sweep=max(sweep,(ll)deepest[i]);
sweep+=adjDis[i];
}
for (int i=0;i<C;i++)
vector<pair<int,int>>().swap(adj[cycle[i]]);
ans+=maxCur;
//cout<<"maxCur: "<<maxCur<<endl;
}
printf("%lld\n",ans);
}