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));
//~ int df = 0, vf = 0;
//~ function <void(int, int, int)> find_furthest = [&](int v, int p, int dist) {
//~ if (dist > df) {
//~ df = dist;
//~ vf = v;
//~ }
//~ for (auto to : graph[v]) {
//~ if (to == p) continue;
//~ find_furthest(to, v, dist+1);
//~ }
//~ };
//~ int d1, d2;
//~ find_furthest(0, 0, 0);
//~ d1 = vf;
//~ df = vf = 0;
//~ find_furthest(d1, d1, 0);
//~ d2 = vf;
//~ cost[1] = df;
//~ rear[1][d1] = d2;
//~ rear[1][d2] = d1;
//~ vector <int> left;
//~ for (int i = 0; i < n; i++) {
//~ if (i == d1 || i == d2) {
//~ continue;
//~ }
//~ left.pb(i);
//~ }
//~ for (int i = 0; i < n-2; i++) {
//~ rear[0][left[i]] = left[(i+1)%(n-2)];
//~ }
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)&1) {
cost[0] += 2;
rear[0][v] = children[0];
rear[0][children[0]] = v;
for (int i = 1; i < sz(children); i += 2) {
cost[0] += 4;
rear[0][children[i]] = children[i+1];
rear[0][children[i+1]] = children[i];
}
return 0;
}
else {
if (sz(children)) {
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) {
cost[0] += 2;
rear[0][children[i]] = children[i+1];
rear[0][children[i+1]] = children[i];
}
return 0;
}
else if (v) return 1;
if (sz(children)) {
rear[0][v] = children[1];
rear[0][children[1]] = children[0];
rear[0][children[0]] = v;
}
else {
cost[0] += 2;
int a = graph[v][0], b = rear[0][rear[0][a]];
if (rear[0][b] == a) {
rear[0][v] = a;
rear[0][b] = v;
}
else {
b = rear[0][a];
rear[0][v] = a;
rear[0][b] = v;
}
}
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 << ' ';
cout << endl;
}
}
int main() {
//~ do_not_disturb
int t = 1;
//~ cin >> t;
while (t--) {
solve();
}
return 0;
}
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