#include <bits/stdc++.h>
#define el '\n'
#define FNAME "village"
#define allof(x) x.begin(),x.end()
#define allof1(x) x.begin()+1,x.end()
#define mset(x,n) memset(x,(n),sizeof(x))
using namespace std;
const long long MOD = (long long) 1e9 + 7;
template<class X,class Y> bool minimize(X &a,Y b){ if (a>b) {a=b; return true;} return false;}
template<class X,class Y> bool maximize(X &a,Y b){ if (a<b) {a=b; return true;} return false;}
void setup(){
ios_base::sync_with_stdio(0);
cin.tie(0);cout.tie(0);
if (fopen(FNAME".inp","r")){
freopen(FNAME".inp","r",stdin);
freopen(FNAME".out","w",stdout);
}
}
const int MAXN = 1e5 + 5;
const long long INF = (long long) 1e16 + 15092007;
int n;
vector<int> graph[MAXN];
void init(){
cin>>n;
for (int i=1;i<n;i++){
int u,v;
cin>>u>>v;
graph[u].push_back(v);
graph[v].push_back(u);
}
}
namespace calMin{
long long res = 0;
vector<int> des;
void dfs(int u=1,int pre=-1){
for (int v : graph[u]){
if (v==pre) continue;
dfs(v,u);
if (des[v] == v){
swap(des[u],des[v]);
res += 2;
}
}
if (pre==-1 and des[u]==u and !graph[u].empty()){
swap(des[u],des[graph[u].front()]);
res += 2;
}
}
void getAns(){
des.assign(n+1,0);
iota(allof(des),0);
dfs();
}
};
namespace calMax{
int sz[MAXN];
void dfsSZ(int u=1,int pre=-1){
sz[u] = 1;
for (int v : graph[u]){
if (v==pre) continue;
dfsSZ(v,u);
sz[u] += sz[v];
}
}
int dfsCentroid(int u=1,int pre=-1){
for (int v : graph[u]){
if (v==pre) continue;
if (sz[v] * 2 > n) return dfsCentroid(v,u);
}
return u;
}
int centroid;
long long res = 0;
vector<int> des;
int timedfs;
int in[MAXN];
vector<int> euler;
void dfsEuler(int u,int pre){
euler.push_back(u);
in[u] = timedfs++;
for (int v : graph[u]){
if (v==pre) continue;
dfsEuler(v,u);
}
}
void getAns(){
dfsSZ();
centroid = dfsCentroid();
for (int u=2;u<=n;u++)
res += 2ll * min(sz[u],n - sz[u]);
dfsEuler(centroid,-1);
des.assign(n+1,0);
for (int u=1;u<=n;u++)
des[u] = euler[(in[u] + n/2) % n];
}
};
void sol(){
calMin::getAns();
calMax::getAns();
cout<<calMin::res<<" "<<calMax::res<<el;
for (int i=1;i<=n;i++) cout<<calMin::des[i]<<" ";
cout<<el;
for (int i=1;i<=n;i++) cout<<calMax::des[i]<<" ";
}
int main(){
setup();
init();
sol();
}
Compilation message (stderr)
Village.cpp: In function 'void setup()':
Village.cpp:16:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
16 | freopen(FNAME".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~
Village.cpp:17:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
17 | freopen(FNAME".out","w",stdout);
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