#include <bits/stdc++.h>
#define int ll
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define rng(i,c,n) for(int i=c;i<n;i++)
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define vec(...) vector<__VA_ARGS__>
#define _3fm6nhZ ios::sync_with_stdio(0),cin.tie(0)
typedef long long ll;
using pii=pair<int,int>;
using vi=vector<int>;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}
#define all(a) a.begin(),a.end()
signed main(){
_3fm6nhZ;
int n;
cin>>n;
vec(vi) adj(n);
rep(i,n-1){
int u,v;
cin>>u>>v;
u-=1,v-=1;
adj[u].pb(v);
adj[v].pb(u);
}
int ans=0;
vi ert(n);
auto dfs=[&](auto self,int v,int par)->int{
vi rbts;
for(auto u:adj[v]){
if(u==par) continue;
int e=self(self,u,v);
if(e) rbts.pb(u);
}
if(sz(rbts)==0) return 1;
for(int i=0;i<sz(rbts)-sz(rbts)%2;i+=2){
ert[rbts[i]]=rbts[i+1];
ert[rbts[i+1]]=rbts[i];
ans+=4;
}
if(sz(rbts)%2){
ert[v]=rbts.back();
ert[rbts.back()]=v;
ans+=2;
}else{
ert[v]=rbts.back();
ert[ert[rbts.back()]]=v;
}
return 0;
};
int e=dfs(dfs,0,-1);
if(e){
int v=0;
int u=adj[0][0];
ans+=2;
rep(s,n){
if(ert[s]==u){
ert[v]=u;
ert[s]=0;
break;
}
}
}
int ans1=0;
vi chs(n);
auto pre_rfs=[&](auto self,int v,int par)->void{
chs[v]=1;
for(auto u:adj[v]){
if(u==par) continue;
self(self,u,v);
chs[v]+=chs[u];
ans1+=2*min(chs[u],n-chs[u]);
}
};
pre_rfs(pre_rfs,0,-1);
auto rfs=[&](auto self,int v,int par)->int{
for(auto u:adj[v]){
if(u==par) continue;
if(2*chs[u]>=n){
return self(self,u,v);
}
}
return v;
};
int rt=rfs(rfs,0,-1);
chs=vi(n,0);
ans1=0;
pre_rfs(pre_rfs,rt,-1);
vi rbts;
auto add=[&](auto self,int v,int par)->void{
rbts.pb(v);
for(auto u:adj[v]){
if(u==par) continue;
self(self,u,v);
}
};
vi delay={rt};
vi usd(n,0);
vi ert1(n);
auto ask=[&](auto self,int v,int par)->void{
// print(v,sz(rbts)+sz(delay));
assert(sz(rbts)+sz(delay));
if(sz(delay)){
int s=delay.back();
ert1[s]=v;
delay.pop_back();
}else{
int s=rbts.back();
usd[s]=1;
ert1[s]=v;
rbts.pop_back();
}
for(auto u:adj[v]){
if(u==par) continue;
self(self,u,v);
}
};
sort(all(adj[rt]),[&](int l,int r){
return chs[l]<chs[r];
});
for(auto u:adj[rt]){
add(add,u,rt);
}
per(i,sz(adj[rt])){
int u=adj[rt][i];
vi now;
rep(_,chs[u]){
if(!sz(rbts) or usd[rbts.back()]) continue;
now.pb(rbts.back());
rbts.pop_back();
}
ask(ask,u,rt);
for(auto v:now){
delay.pb(v);
}
}
assert(sz(delay));
ert1[delay.back()]=rt;
assert(sz(set<int>(all(ert1)))==n);
cout<<ans<<" "<<ans1<<"\n";
rep(i,n){
cout<<ert[i]+1<<" ";
}
print();
auto bfs=[&](int rt)->vi{
vi dist(n,-1);
dist[rt]=0;
queue<int> que;
que.push(rt);
while(sz(que)){
int v=que.front();
que.pop();
for(auto u:adj[v]){
if(dist[u]==-1){
dist[u]=dist[v]+1;
que.push(u);
}
}
}
return dist;
};
int now=0;
rep(i,n){
now+=(bfs(i)[ert1[i]]);
}
assert(now==ans1);
rep(i,n){
cout<<ert1[i]+1<<" ";
}
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Runtime error |
1 ms |
468 KB |
Execution killed with signal 6 |
| 3 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
2 ms |
480 KB |
Execution killed with signal 6 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
0 ms |
212 KB |
Output is correct |
| 2 |
Runtime error |
1 ms |
468 KB |
Execution killed with signal 6 |
| 3 |
Halted |
0 ms |
0 KB |
- |
