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;
template<typename T>
using V = vector<T>;
using vi = V<int>;
using vvi = V<vi>;
using pi = pair<int,int>;
using vpi = V<pi>;
#define F0R(i, n) for(int i = 0; i < n;i++)
#define FOR(i,a, n) for(int i = a; i < n;i++)
#define pb push_back
V<bool> state;
int sum;
vi to;
vvi g;
void dfs(int x, int p) {
vi child;
for (auto v : g[x]) {
if (p == v) continue;
dfs(v, x);
if (state[v]) continue;
child.pb(v);
}
for (int i = 0; i < (int)child.size() / 2; ++i) {
to[child[i * 2]] = child[i * 2 + 1];
to[child[i * 2 + 1]] = child[i * 2];
sum += 4;
}
if (child.size() % 2 == 1) {
to[child[child.size() - 1]] = x;
to[x] = child[child.size() - 1];
sum += 2;
state[x] = true;
}
if ((child.size() > 1) && !state[x]) {
int node = child[0];
to[x] = node;
to[to[node]] = x;
state[x] = true;
}
if (p == -1 && !state[x]) {
int node = g[x][0];
to[x] = node;
to[to[node]] = x;
state[x] = true;
sum += 2;
}
}
int main() {
ios_base::sync_with_stdio(false); cin.tie(nullptr);
int n; cin >> n;
g.resize(n + 1);
state.resize(n + 1);
to.resize(n + 1);
F0R(i, n - 1) {
int a, b; cin >> a >> b;
g[a].pb(b);
g[b].pb(a);
}
dfs(1,-1);
cout << sum << " 6\n";
FOR(i, 1, n + 1) if (to[1] == 0) exit(5);
FOR(i, 1, n + 1)
cout << to[i] << " ";
cout << "\n";
FOR(i, 1, n + 1)
cout << to[i] << " ";
return 0;
}
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