#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 100005;
vector<int> g[N];
int s[N];
ll min_sum = 0;
void dfs_min(int u, int p){
for(int v : g[u]){
if(v == p) continue;
dfs_min(v, u);
}
if(s[u] == u && p != 0){
swap(s[u], s[p]);
min_sum += 2;
}
}
int dfn[N], id[N], sz[N], timer = 0;
ll max_sum = 0;
int n;
void dfs_max(int u, int p){
dfn[u] = ++timer;
id[timer] = u;
sz[u] = 1;
for(int v : g[u]){
if(v == p) continue;
dfs_max(v, u);
sz[u] += sz[v];
max_sum += 2LL * min(sz[v], n - sz[v]);
}
}
int main(){
//freopen("Village.Inp","r",stdin);
//freopen("Village.Out","w",stdout);
ios::sync_with_stdio(false);
cin.tie(nullptr);
cin >> n;
for(int i = 1; i < n; i++){
int x, y;
cin >> x >> y;
g[x].push_back(y);
g[y].push_back(x);
}
for(int i = 1; i <= n; i++) s[i] = i;
dfs_min(1, 0);
if(s[1] == 1){
int v = g[1][0];
swap(s[1], s[v]);
min_sum += 2;
}
dfs_max(1, 0);
vector<int> ans_max(n+1);
for(int i = 1; i <= n; i++){
ans_max[i] = id[(dfn[i] + n/2 - 1) % n + 1];
}
cout << min_sum << " " << max_sum << "\n";
for(int i = 1; i <= n; i++)
cout << s[i] << " ";
cout << "\n";
for(int i = 1; i <= n; i++)
cout << ans_max[i] << " ";
cout << "\n";
return 0;
}
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