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;
typedef long long ll;
typedef pair <int, int> pii;
typedef pair <ll, ll> pll;
#define pb push_back
#define mp make_pair
#define all(v) (v).begin(),(v).end()
#define rall(v) (v).rbegin(),(v).rend()
#define lb lower_bound
#define ub upper_bound
#define sz(v) int((v).size())
#define do_not_disturb ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define endl '\n'
void solve() {
int n;
cin >> n;
vector <int> graph[n];
for (int i = 0; i < n-1; i++) {
int a, b;
cin >> a >> b;
a--; b--;
graph[a].pb(b);
graph[b].pb(a);
}
int cost[2];
cost[0] = cost[1] = 0;
vector <vector <int>> rear(2, vector <int> (n, -1));
function <int(int, int)> find_smallest = [&](int v, int p) {
vector <int> children;
for (auto to : graph[v]) {
if (to == p) continue;
if (find_smallest(to, v)) {
children.pb(to);
}
}
if (sz(children) == 0) {
if (v) return 1;
cost[0] += 2;
int x = graph[v][0];
rear[0][v] = rear[0][x];
rear[0][x] = v;
}
else if (sz(children)&1) {
cost[0] += int(sz(children)/2)*4+2;
rear[0][v] = children[0];
rear[0][children[0]] = v;
for (int i = 1; i < sz(children); i += 2) {
rear[0][children[i]] = children[i+1];
rear[0][children[i+1]] = children[i];
}
}
else {
cost[0] += sz(children)*2;
rear[0][v] = children[1];
rear[0][children[1]] = children[0];
rear[0][children[0]] = v;
for (int i = 2; i < sz(children); i += 2) {
rear[0][children[i]] = children[i+1];
rear[0][children[i+1]] = children[i];
}
}
return 0;
};
find_smallest(0, 0);
cout << cost[0] << ' ' << cost[1] << endl;
for (int i = 0; i < 2; i++) {
for (auto to : rear[i]) cout << (to == -1 ? to+2 : to+1) << ' ';
cout << endl;
}
}
int main() {
//~ do_not_disturb
int t = 1;
//~ cin >> t;
while (t--) {
solve();
}
return 0;
}
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