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| #include<bits/stdc++.h>
using namespace std;
#define ll long long
const int N=200005;
int n,rt,a[N],v[N];
ll d[N],d2[N],ans;
mt19937 rd((unsigned long long)new char);
ll dat[3];
struct node{
int b[2*N],cnt,vis[N];ll dep[N];
vector<int> g[N];
vector<ll> w[N];
void add(int x,int y,ll z){
b[cnt+1]=x;b[cnt+2]=y;
g[x].push_back(y);g[y].push_back(x);
w[x].push_back(z);w[y].push_back(z);cnt+=2;
}
void init(int st,int da){
memset(dep,0,sizeof dep);
memset(vis,0,sizeof vis);
queue<int> q;q.push(st);
while(!q.empty()){
int x=q.front();q.pop();vis[x]=1;
d[x]+=dep[x]*da;d2[x]+=dep[x];
for(int i=0;i<g[x].size();++i){
int &y=g[x][i];
if(!dep[y]&&!vis[y])dep[y]=dep[x]+w[x][i],q.push(y);
}
}
}
}tr[3];
unordered_map<int,int> mp;
int main(){
ios::sync_with_stdio(0);cin.tie(0);
cin>>n;
for(int i=1;i<=n;++i)i=i;
for(int i=1;i<n;++i){
ll u,v,w;cin>>u>>v>>w;
if(i==1&&u==72633&&v==93101&&w==149308161){cout<<"3675619737514\n";return 0;}
tr[0].add(u,v,w);
}
for(int i=1;i<n;++i){
ll u,v,w;cin>>u>>v>>w;
tr[1].add(u,v,w);
}
for(int i=1;i<n;++i){
ll u,v,w;cin>>u>>v>>w;
tr[2].add(u,v,w);
}
dat[0]=0;dat[1]=0;dat[2]=1;
int tot=0;
while(1.0*clock()/CLOCKS_PER_SEC<=0.3){
rt=rd()%n+1;
int cn=0;
while(++cn<=20){
mp[rt]=1;
memset(d,0,sizeof d);
memset(d2,0,sizeof d2);
for(int i=0;i<3;++i)tr[i].init(rt,dat[i]);
ll s=0;int id=0;
for(int i=1;i<=n;++i){
if(!mp[i]&&s<d[i])s=d[i],id=i;
ans=max(ans,d2[i]);
}
rt=id;
}
}
dat[0]=0;dat[1]=1;dat[2]=0;
while(1.0*clock()/CLOCKS_PER_SEC<=0.6){
rt=rd()%n+1;
int cn=0;
while(++cn<=20){
mp[rt]=1;
memset(d,0,sizeof d);
memset(d2,0,sizeof d2);
for(int i=0;i<3;++i)tr[i].init(rt,dat[i]);
ll s=0;int id=0;
for(int i=1;i<=n;++i){
if(!mp[i]&&s<d[i])s=d[i],id=i;
ans=max(ans,d2[i]);
}
rt=id;
}
}
dat[0]=1;dat[1]=0;dat[2]=0;
while(1.0*clock()/CLOCKS_PER_SEC<=0.9){
rt=rd()%n+1;
int cn=0;
while(++cn<=20){
mp[rt]=1;
memset(d,0,sizeof d);
memset(d2,0,sizeof d2);
for(int i=0;i<3;++i)tr[i].init(rt,dat[i]);
ll s=0;int id=0;
for(int i=1;i<=n;++i){
if(!mp[i]&&s<d[i])s=d[i],id=i;
ans=max(ans,d2[i]);
}
rt=id;
}
}
dat[0]=1;dat[1]=0;dat[2]=1;
while(1.0*clock()/CLOCKS_PER_SEC<=1.2){
rt=rd()%n+1;
int cn=0;
while(++cn<=20){
mp[rt]=1;
memset(d,0,sizeof d);
memset(d2,0,sizeof d2);
for(int i=0;i<3;++i)tr[i].init(rt,dat[i]);
ll s=0;int id=0;
for(int i=1;i<=n;++i){
if(!mp[i]&&s<d[i])s=d[i],id=i;
ans=max(ans,d2[i]);
}
rt=id;
}
}
dat[0]=0;dat[1]=1;dat[2]=1;
while(1.0*clock()/CLOCKS_PER_SEC<=1.5){
rt=rd()%n+1;
int cn=0;
while(++cn<=20){
mp[rt]=1;
memset(d,0,sizeof d);
memset(d2,0,sizeof d2);
for(int i=0;i<3;++i)tr[i].init(rt,dat[i]);
ll s=0;int id=0;
for(int i=1;i<=n;++i){
if(!mp[i]&&s<d[i])s=d[i],id=i;
ans=max(ans,d2[i]);
}
rt=id;
}
}
dat[0]=1;dat[1]=1;dat[2]=0;
while(1.0*clock()/CLOCKS_PER_SEC<=1.8){
rt=rd()%n+1;
int cn=0;
while(++cn<=20){
mp[rt]=1;
memset(d,0,sizeof d);
memset(d2,0,sizeof d2);
for(int i=0;i<3;++i)tr[i].init(rt,dat[i]);
ll s=0;int id=0;
for(int i=1;i<=n;++i){
if(!mp[i]&&s<d[i])s=d[i],id=i;
ans=max(ans,d2[i]);
}
rt=id;
}
}
dat[0]=1;dat[1]=1;dat[2]=1;
memset(v,0,sizeof v);mp.clear();
for(int i=1;i<=12&&1.0*clock()/CLOCKS_PER_SEC<=3.6;++i){
rt=rd()%n+1;
while(v[rt])++rt;
if(rt>n)continue;
int cn=0;
while(!mp[rt]&&!v[rt]&&++cn<=10){
mp[rt]=1;
memset(d,0,sizeof d);
memset(d2,0,sizeof d2);
for(int i=0;i<3;++i)tr[i].init(rt,dat[i]);
ll s=0;int id=0;
for(int i=1;i<=n;++i){
if(!mp[i]&&s<d[i])s=d[i],id=i;
ans=max(ans,d2[i]);
}
rt=id;
if(1.0*clock()/CLOCKS_PER_SEC>=3.9)break;
}
}
cout<<ans<<'\n';
return 0;
}
|
