#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 <int> subtree(n);
vector <vector <int>> rear(2, vector <int> (n, 0));
function <int(int, int)> find_smallest = [&](int v, int p) {
vector <int> children;
subtree[v] = 1;
for (auto to : graph[v]) {
if (to == p) continue;
if (find_smallest(to, v)) {
children.pb(to);
}
subtree[v] += subtree[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);
function <int(int, int)> find_centroid = [&](int v, int p) {
for (auto to : graph[v]) {
if (to == p) continue;
if (subtree[to]*2 > subtree[0]) {
return find_centroid(to, v);
}
}
return v;
};
function <void(int, int)> find_largest = [&](int v, int p) {
if (v) {
cost[1] += min(subtree[v], subtree[0]-subtree[v])*2;
}
for (auto to : graph[v]) {
if (to == p) continue;
find_largest(to, v);
}
};
int centroid = find_centroid(0, 0);
find_largest(0, 0);
vector <vector <int>> children(sz(graph[centroid]));
function <void(int, int, int)> find_children = [&](int v, int p, int i) {
children[i].pb(v);
for (auto to : graph[v]) {
if (to == p) continue;
find_children(to, v, i);
}
};
for (int i = 0; i < sz(graph[centroid]); i++) {
find_children(graph[centroid][i], centroid, i);
}
if (n&1) {
rear[1][centroid] = children[1].back();
rear[1][children[1].back()] = children[0].back();
rear[1][children[0].back()] = centroid;
children[0].pop_back();
children[1].pop_back();
}
else {
rear[1][centroid] = children[0].back();
rear[1][children[0].back()] = centroid;
children[0].pop_back();
}
int l = 0, r = 1;
while (1) {
while (l < sz(children) && sz(children[l]) == 0) l++;
while (r < sz(children) && sz(children[r]) == 0) r++;
if (r == l) r++;
while (r < sz(children) && sz(children[r]) == 0) r++;
if (l >= sz(children) || r >= sz(children)) {
break;
}
rear[1][children[l].back()] = children[r].back();
rear[1][children[r].back()] = children[l].back();
children[l].pop_back();
children[r].pop_back();
}
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;
}
/*
7
4 2
5 7
3 4
6 3
1 3
4 5
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Partially correct |
1 ms |
212 KB |
Partially correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Partially correct |
1 ms |
212 KB |
Partially correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Partially correct |
0 ms |
212 KB |
Partially correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Partially correct |
1 ms |
212 KB |
Partially correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Partially correct |
1 ms |
212 KB |
Partially correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Partially correct |
1 ms |
316 KB |
Partially correct |
13 |
Partially correct |
0 ms |
212 KB |
Partially correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Partially correct |
1 ms |
212 KB |
Partially correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Partially correct |
1 ms |
340 KB |
Partially correct |
2 |
Partially correct |
1 ms |
340 KB |
Partially correct |
3 |
Partially correct |
1 ms |
340 KB |
Partially correct |
4 |
Partially correct |
1 ms |
340 KB |
Partially correct |
5 |
Partially correct |
1 ms |
340 KB |
Partially correct |
6 |
Partially correct |
1 ms |
340 KB |
Partially correct |
7 |
Partially correct |
1 ms |
468 KB |
Partially correct |
8 |
Partially correct |
1 ms |
340 KB |
Partially correct |
9 |
Partially correct |
1 ms |
340 KB |
Partially correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Partially correct |
1 ms |
324 KB |
Partially correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Partially correct |
1 ms |
340 KB |
Partially correct |
14 |
Partially correct |
1 ms |
324 KB |
Partially correct |
15 |
Partially correct |
1 ms |
340 KB |
Partially correct |
16 |
Partially correct |
1 ms |
340 KB |
Partially correct |
17 |
Partially correct |
1 ms |
340 KB |
Partially correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Partially correct |
1 ms |
340 KB |
Partially correct |
20 |
Partially correct |
1 ms |
340 KB |
Partially correct |
21 |
Partially correct |
1 ms |
340 KB |
Partially correct |
22 |
Partially correct |
1 ms |
324 KB |
Partially correct |
23 |
Partially correct |
1 ms |
320 KB |
Partially correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
1 ms |
340 KB |
Output is correct |
26 |
Partially correct |
1 ms |
340 KB |
Partially correct |
27 |
Partially correct |
1 ms |
340 KB |
Partially correct |
28 |
Partially correct |
1 ms |
340 KB |
Partially correct |
29 |
Partially correct |
1 ms |
340 KB |
Partially correct |
30 |
Partially correct |
1 ms |
340 KB |
Partially correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Partially correct |
1 ms |
212 KB |
Partially correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Partially correct |
1 ms |
212 KB |
Partially correct |
5 |
Correct |
1 ms |
320 KB |
Output is correct |
6 |
Partially correct |
0 ms |
212 KB |
Partially correct |
7 |
Correct |
1 ms |
320 KB |
Output is correct |
8 |
Partially correct |
1 ms |
212 KB |
Partially correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Partially correct |
1 ms |
212 KB |
Partially correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Partially correct |
1 ms |
316 KB |
Partially correct |
13 |
Partially correct |
0 ms |
212 KB |
Partially correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
1 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Partially correct |
1 ms |
212 KB |
Partially correct |
18 |
Partially correct |
1 ms |
340 KB |
Partially correct |
19 |
Partially correct |
1 ms |
340 KB |
Partially correct |
20 |
Partially correct |
1 ms |
340 KB |
Partially correct |
21 |
Partially correct |
1 ms |
340 KB |
Partially correct |
22 |
Partially correct |
1 ms |
340 KB |
Partially correct |
23 |
Partially correct |
1 ms |
340 KB |
Partially correct |
24 |
Partially correct |
1 ms |
468 KB |
Partially correct |
25 |
Partially correct |
1 ms |
340 KB |
Partially correct |
26 |
Partially correct |
1 ms |
340 KB |
Partially correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Partially correct |
1 ms |
324 KB |
Partially correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Partially correct |
1 ms |
340 KB |
Partially correct |
31 |
Partially correct |
1 ms |
324 KB |
Partially correct |
32 |
Partially correct |
1 ms |
340 KB |
Partially correct |
33 |
Partially correct |
1 ms |
340 KB |
Partially correct |
34 |
Partially correct |
1 ms |
340 KB |
Partially correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Partially correct |
1 ms |
340 KB |
Partially correct |
37 |
Partially correct |
1 ms |
340 KB |
Partially correct |
38 |
Partially correct |
1 ms |
340 KB |
Partially correct |
39 |
Partially correct |
1 ms |
324 KB |
Partially correct |
40 |
Partially correct |
1 ms |
320 KB |
Partially correct |
41 |
Correct |
1 ms |
340 KB |
Output is correct |
42 |
Correct |
1 ms |
340 KB |
Output is correct |
43 |
Partially correct |
1 ms |
340 KB |
Partially correct |
44 |
Partially correct |
1 ms |
340 KB |
Partially correct |
45 |
Partially correct |
1 ms |
340 KB |
Partially correct |
46 |
Partially correct |
1 ms |
340 KB |
Partially correct |
47 |
Partially correct |
1 ms |
340 KB |
Partially correct |
48 |
Partially correct |
69 ms |
9224 KB |
Partially correct |
49 |
Partially correct |
66 ms |
9928 KB |
Partially correct |
50 |
Partially correct |
66 ms |
10096 KB |
Partially correct |
51 |
Partially correct |
53 ms |
7776 KB |
Partially correct |
52 |
Partially correct |
64 ms |
9832 KB |
Partially correct |
53 |
Partially correct |
55 ms |
8816 KB |
Partially correct |
54 |
Correct |
40 ms |
11436 KB |
Output is correct |
55 |
Partially correct |
94 ms |
23528 KB |
Partially correct |
56 |
Partially correct |
83 ms |
16452 KB |
Partially correct |
57 |
Partially correct |
92 ms |
14284 KB |
Partially correct |
58 |
Correct |
75 ms |
12236 KB |
Output is correct |
59 |
Partially correct |
81 ms |
10188 KB |
Partially correct |
60 |
Correct |
52 ms |
15056 KB |
Output is correct |
61 |
Partially correct |
53 ms |
11132 KB |
Partially correct |
62 |
Partially correct |
60 ms |
10588 KB |
Partially correct |
63 |
Partially correct |
50 ms |
9948 KB |
Partially correct |
64 |
Partially correct |
57 ms |
10252 KB |
Partially correct |
65 |
Partially correct |
66 ms |
10456 KB |
Partially correct |
66 |
Partially correct |
64 ms |
9804 KB |
Partially correct |
67 |
Partially correct |
39 ms |
8264 KB |
Partially correct |
68 |
Partially correct |
54 ms |
8788 KB |
Partially correct |
69 |
Partially correct |
52 ms |
10436 KB |
Partially correct |
70 |
Partially correct |
49 ms |
9784 KB |
Partially correct |
71 |
Partially correct |
38 ms |
7304 KB |
Partially correct |
72 |
Partially correct |
40 ms |
8228 KB |
Partially correct |
73 |
Partially correct |
51 ms |
10436 KB |
Partially correct |
74 |
Partially correct |
48 ms |
9500 KB |
Partially correct |
75 |
Partially correct |
63 ms |
9764 KB |
Partially correct |
76 |
Partially correct |
65 ms |
9656 KB |
Partially correct |
77 |
Partially correct |
62 ms |
9948 KB |
Partially correct |
78 |
Partially correct |
38 ms |
6832 KB |
Partially correct |
79 |
Partially correct |
44 ms |
7892 KB |
Partially correct |
80 |
Partially correct |
64 ms |
9656 KB |
Partially correct |
81 |
Partially correct |
56 ms |
9848 KB |
Partially correct |
82 |
Partially correct |
52 ms |
10016 KB |
Partially correct |