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>
#define int long long
#define pii pair<int,int>
#define pb push_back
#define in insert
#define fi first
#define se second
using namespace std;
const int mod=1000000007;
const int N=2e5+7;
const int inf=1e17;
int a[N];
int n;
vector<int>dsk[N];
int d[N],dinh,h[N];
set<pii>s;
void dfs0(int u,int par){
if(d[u]>d[dinh])dinh=u;
s.insert({d[u],u});
for(auto v:dsk[u]){
if(v==par)continue;
d[v]=d[u]+1;
h[v]=h[u]+1;
dfs0(v,u);
}
}
int ans[N],kc[N];
bool ok[N];
void dfs(int u,int par){
pii cc=*s.rbegin();
s.erase(s.find(cc));
ans[u]=cc.se;
ans[cc.se]=u;
kc[u]=cc.fi-h[u];
kc[cc.se]=cc.fi-h[u];
ok[u]=true;
ok[cc.se]=true;
for(auto v:dsk[u]){
if(v==par||ok[v])continue;
dfs(v,u);
}
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
cin>>n;
for(int i=1;i<n;i++){
int u,v;cin>>u>>v;
dsk[u].pb(v);
dsk[v].pb(u);
}
dfs0(1,1);
d[dinh]=0;
h[dinh]=0;
s.clear();
int ngu=dinh;
dfs0(dinh,0);
dinh=ngu;
dfs(dinh,dinh);
int sum=0;
for(int i=1;i<=n;i++)sum+=kc[i];
cout<<sum<<'\n';
for(int i=1;i<=n;i++)cout<<ans[i]<<" ";
}
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