#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int MAXN = 1e5 + 10;
int to[MAXN];
int sub[MAXN];
vector<int> adj[MAXN];
int n;
void dfs_1(int v, int p){
sub[v] = 1;
for(auto u : adj[v]){
if(u != p){
dfs_1(u, v);
sub[v] += sub[u];
}
}
}
int get_centroid(int v, int p){
for(auto u : adj[v]){
if(u != p){
if(sub[u] > n / 2) return get_centroid(u, v);
}
}
return v;
}
void dfs_2(int v, int p, vector<int> &vtx){
vtx.push_back(v);
for(auto u : adj[v]){
if(u != p){
dfs_2(u, v, vtx);
}
}
}
int32_t main(){
cin.tie(0)->sync_with_stdio(0);
cin >> n;
for(int i=1; i<n; i++){
int a, b; cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
dfs_1(1, 1);
int c = get_centroid(1, 1);
dfs_1(c, c);
vector<pair<int, int>> to_add;
for(auto u : adj[c]) to_add.push_back({sub[u], u});
sort(to_add.rbegin(), to_add.rend());
vector<int> vtx;
for(auto [x, u] : to_add) dfs_2(u, c, vtx);
vtx.push_back(c);
int sz = (int) vtx.size();
for(int i=0; i<sz; i++) vtx.push_back(vtx[i]);
int k = to_add[0].first;
for(int i=0; i<sz; i++) to[vtx[i]] = vtx[i + k];
ll ans = 0;
for(int i=1; i<=n; i++) ans += 2 * min(sub[i], n - sub[i]);
cout << "1 " << ans << "\n";
for(int i=1; i<=n; i++) cout << "1 ";
cout << "\n";
for(int i=1; i<=n; i++) cout << to[i] << " ";
cout << "\n";
return 0;
}
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