This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const int N=1e6+5;
int n;
pair<int,int> nxt[N];
int deg[N];
queue<int> q;
vector<pair<int,int>> adj[N];
ll dp[N];
ll dia,ans;
template<class T>
struct Deque{
T dat[N*2];
int l=0,r=0;
bool empty(){
return l>r;
}
void clear(){
l=0,r=-1;
}
void push_back(T val){
dat[++r]=val;
}
void pop_front(){
l++;
}
void pop_back(){
r--;
}
T front(){
return dat[l];
}
T back(){
return dat[r];
}
};
Deque<pair<ll,int>> dq;
void dfs(int u){
ll mx=0,mx2=0;
for(auto [v,w]:adj[u]){
dfs(v);
mx2=max(mx2,dp[v]+w);
if(mx<mx2)swap(mx,mx2);
}
dp[u]=mx;
dia=max(dia,mx+mx2);
}
int main(){
cin.tie(nullptr)->sync_with_stdio(false);
cin >> n;
for(int i=1;i<=n;i++){
auto &[v,w]=nxt[i];
cin >> v >> w;
deg[v]++;
}
for(int i=1;i<=n;i++)if(!deg[i])q.emplace(i);
while(!q.empty()){
int u=q.front();
q.pop();
auto [v,w]=nxt[u];
adj[v].emplace_back(u,w);
if(--deg[v]==0)q.emplace(v);
}
for(int i=1;i<=n;i++)if(deg[i]){
ll len=0;
vector<pair<int,ll>> comp;
for(int u=i;deg[u];){
comp.emplace_back(u,len);
deg[u]=0;
auto [v,w]=nxt[u];
len+=w;
u=v;
}
dia=0;
dq.clear();
for(auto [u,w]:comp){
dfs(u);
ll val=dp[u]-w;
while(!dq.empty()&&dq.back().first<val)dq.pop_back();
dq.push_back({val,u});
}
for(auto [u,w]:comp){
if(dq.front().second==u)dq.pop_front();
dia=max(dia,w+len+dp[u]+dq.front().first);
ll val=dp[u]-w-len;
while(!dq.empty()&&dq.back().first<val)dq.pop_back();
dq.push_back({val,u});
}
ans+=dia;
}
cout << ans;
}
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