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>
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename U> using ordered_map = tree<T, U, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<ll> vll;
#define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
#define FORD(i,j,k,in) for(int i=(j); i >=(k);i-=in)
#define REP(i,b) FOR(i,0,b,1)
#define REPD(i,b) FORD(i,b,0,1)
#define pb push_back
#define mp make_pair
#define ff first
#define ss second
#define all(x) begin(x), end(x)
#define MANY_TESTS int tcase; cin >> tcase; while(tcase--)
const double EPS = 1e-9;
const int MOD = 1e9+7;
const ll INFF = 1e18;
const int INF = 1e9;
const ld PI = acos((ld)-1);
const vi dy = {1, 0, -1, 0, -1, 1, 1, -1};
const vi dx = {0, 1, 0, -1, -1, 1, -1, 1};
void DBG(){cout << "]" << endl;}
template<typename T, typename ...U> void DBG(const T& head, const U... args){ cout << head << "; "; DBG(args...); }
#define dbg(...) cout << "Line(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__);
#define chk() cout << "Check at line(" << __LINE__ << ") hit." << endl;
template<class T, unsigned int U>
ostream& operator<<(ostream& out, const array<T, U> &v){out << "["; REP(i, U) out << v[i] << ", "; out << "]"; return out;}
template <class T, class U>
ostream& operator<<(ostream& out, const pair<T, U> &par) {out << "[" << par.first << ";" << par.second << "]"; return out;}
template <class T>
ostream& operator<<(ostream& out, const set<T> &cont) { out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template <class T, class U>
ostream& operator<<(ostream& out, const map<T, U> &cont) {out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template<class T>
ostream& operator<<(ostream& out, const vector<T> &v){ out << "["; REP(i, v.size()) out << v[i] << ", "; out << "]"; return out;}
template<class T>
istream& operator>>(istream& in, vector<T> &v){ for(auto &x : v) in >> x; return in; }
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
int n; cin >> n;
vector<vector<int>> g(n);
REP(i, n - 1){
int u, v;
cin >> u >> v;
u--; v--;
g[u].pb(v);
g[v].pb(u);
}
auto solve_minimal = [&](){
vector<int> ans(n, -1);
REP(i, n) ans[i] = i; // v i-tom dome je ans[i]
int res = 0;
function<void(int, int)> dfs = [&](int v, int p){
int cn = 0;
for(int x : g[v]){
if(x == p) continue;
++cn;
dfs(x, v);
}
for(int x : g[v]){
if(x == p) continue;
if(ans[x] == x){
swap(ans[x], ans[v]);
res+=2;
}
}
if(ans[v] == v){
if(p != -1)
return;
else{
for(int x : g[v]){
if(x == p) continue;
res += 2;
swap(ans[x], ans[v]);
break;
}
}
}
};
dfs(0, -1);
vector<int> rev_ans(n);
REP(i, n) rev_ans[ans[i]] = i;
return make_pair(res, rev_ans);
};
pair<int, vector<int>> ansf = solve_minimal();
cout << ansf.ff << " " << 1 << "\n";
REP(i, n) {
cout << ansf.ss[i] + 1 << (i == (int) ansf.ss.size() - 1 ? "\n" : " ");
}
REP(i, n) {
cout << ansf.ss[i] + 1 << (i == (int) ansf.ss.size() - 1 ? "\n" : " ");
}
return 0;
}
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