#include<bits/stdc++.h>
using namespace std;
const int N = 500001;
#define IOS ios::sync_with_stdio(false);; cin.tie(NULL)
bool visited[N];
int LeavesInsubtee[N];
vector<int> adj[N];
vector<int> res[N];
int n;
int ans = 0;
int cur_ans = 0;
int subtreeValue = 0;
void dfs(int u){
visited[u] = true;
if((int)adj[u].size() == 1){
LeavesInsubtee[u] = 1;
}
for(int v : adj[u]){
if(!visited[v]){
dfs(v);
LeavesInsubtee[u] += LeavesInsubtee[v];
}
}
}
void dfs2(int u){
visited[u] = true;
if((int)adj[u].size() == 1){
res[subtreeValue].push_back(u);
}
for(int v : adj[u]){
if(!visited[v]){
dfs2(v);
}
}
}
int cutlocation(int u){
visited[u] = true;
for(int v : adj[u]){
if(!visited[v]){
if(LeavesInsubtee[v] > floor((cur_ans)/2)){
return cutlocation(v);
}
}
}
return u;
}
int cut(int u){
dfs(1);
for(int i = 1; i <= n; i++){
visited[i] = false;
}
int x = cutlocation(1);
for(int i = 1; i <= n; i++){
visited[i] = false;
}
visited[x] = true;
for(int v : adj[x]){
subtreeValue++;
dfs2(v);
}
return x;
}
struct cmp{
bool operator()(const int &a, const int &b) const{
if(res[a].size() == res[b].size()){
return a < b;
}
return res[a].size() > res[b].size();
}
};
int main(){
IOS;
cin >> n;
for(int i = 0; i < n - 1; i++){
int a, b;
cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
for(int i = 1; i <= n; i++){
if((int)adj[i].size() == 1){
ans++;
}
}
cur_ans = ans;
ans = (ans + 1)/2;
cout << ans << "\n";
cut(n);
vector<int> v;
set<int, cmp> s;
for(int i = 1; i <= subtreeValue; i++){
s.insert(i);
}
while(!s.empty()){
int a = *(s.begin());
s.erase(a);
v.push_back(res[a].back());
res[a].pop_back();
if(!s.empty()){
int b = *(s.begin());
s.erase(b);
v.push_back(res[b].back());
res[b].pop_back();
if(!res[b].empty()){
s.insert(b);
}
}
if(!res[a].empty()){
s.insert(a);
}
}
if(v.size() % 2 == 1){
v.push_back(res[1][0]);
}
for(int i = 0; i < (int)v.size(); i += 2){
cout << v[i] << " " << v[i + 1] << "\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
23764 KB |
Output is correct |
2 |
Correct |
12 ms |
23764 KB |
Output is correct |
3 |
Correct |
12 ms |
23708 KB |
Output is correct |
4 |
Correct |
12 ms |
23808 KB |
Output is correct |
5 |
Correct |
12 ms |
23764 KB |
Output is correct |
6 |
Correct |
12 ms |
23772 KB |
Output is correct |
7 |
Correct |
12 ms |
23764 KB |
Output is correct |
8 |
Correct |
12 ms |
23780 KB |
Output is correct |
9 |
Correct |
13 ms |
23812 KB |
Output is correct |
10 |
Correct |
13 ms |
23820 KB |
Output is correct |
11 |
Correct |
13 ms |
23764 KB |
Output is correct |
12 |
Correct |
13 ms |
23716 KB |
Output is correct |
13 |
Correct |
12 ms |
23764 KB |
Output is correct |
14 |
Correct |
12 ms |
23800 KB |
Output is correct |
15 |
Correct |
12 ms |
23772 KB |
Output is correct |
16 |
Correct |
14 ms |
23812 KB |
Output is correct |
17 |
Correct |
12 ms |
23812 KB |
Output is correct |
18 |
Correct |
12 ms |
23764 KB |
Output is correct |
19 |
Correct |
13 ms |
23740 KB |
Output is correct |
20 |
Correct |
12 ms |
23764 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
23764 KB |
Output is correct |
2 |
Correct |
12 ms |
23764 KB |
Output is correct |
3 |
Correct |
12 ms |
23708 KB |
Output is correct |
4 |
Correct |
12 ms |
23808 KB |
Output is correct |
5 |
Correct |
12 ms |
23764 KB |
Output is correct |
6 |
Correct |
12 ms |
23772 KB |
Output is correct |
7 |
Correct |
12 ms |
23764 KB |
Output is correct |
8 |
Correct |
12 ms |
23780 KB |
Output is correct |
9 |
Correct |
13 ms |
23812 KB |
Output is correct |
10 |
Correct |
13 ms |
23820 KB |
Output is correct |
11 |
Correct |
13 ms |
23764 KB |
Output is correct |
12 |
Correct |
13 ms |
23716 KB |
Output is correct |
13 |
Correct |
12 ms |
23764 KB |
Output is correct |
14 |
Correct |
12 ms |
23800 KB |
Output is correct |
15 |
Correct |
12 ms |
23772 KB |
Output is correct |
16 |
Correct |
14 ms |
23812 KB |
Output is correct |
17 |
Correct |
12 ms |
23812 KB |
Output is correct |
18 |
Correct |
12 ms |
23764 KB |
Output is correct |
19 |
Correct |
13 ms |
23740 KB |
Output is correct |
20 |
Correct |
12 ms |
23764 KB |
Output is correct |
21 |
Correct |
13 ms |
23816 KB |
Output is correct |
22 |
Correct |
14 ms |
23892 KB |
Output is correct |
23 |
Correct |
13 ms |
23952 KB |
Output is correct |
24 |
Correct |
14 ms |
24020 KB |
Output is correct |
25 |
Correct |
14 ms |
23912 KB |
Output is correct |
26 |
Correct |
13 ms |
23896 KB |
Output is correct |
27 |
Correct |
13 ms |
23868 KB |
Output is correct |
28 |
Correct |
13 ms |
23824 KB |
Output is correct |
29 |
Correct |
13 ms |
23892 KB |
Output is correct |
30 |
Correct |
13 ms |
23764 KB |
Output is correct |
31 |
Correct |
13 ms |
23868 KB |
Output is correct |
32 |
Correct |
13 ms |
23700 KB |
Output is correct |
33 |
Correct |
14 ms |
23764 KB |
Output is correct |
34 |
Correct |
13 ms |
23764 KB |
Output is correct |
35 |
Correct |
12 ms |
23764 KB |
Output is correct |
36 |
Correct |
14 ms |
23812 KB |
Output is correct |
37 |
Correct |
12 ms |
23784 KB |
Output is correct |
38 |
Correct |
12 ms |
23812 KB |
Output is correct |
39 |
Correct |
14 ms |
23820 KB |
Output is correct |
40 |
Correct |
13 ms |
23780 KB |
Output is correct |
41 |
Correct |
13 ms |
23808 KB |
Output is correct |
42 |
Correct |
13 ms |
23812 KB |
Output is correct |
43 |
Correct |
15 ms |
23892 KB |
Output is correct |
44 |
Correct |
13 ms |
23736 KB |
Output is correct |
45 |
Correct |
13 ms |
23808 KB |
Output is correct |
46 |
Correct |
13 ms |
23764 KB |
Output is correct |
47 |
Correct |
14 ms |
23764 KB |
Output is correct |
48 |
Correct |
13 ms |
23728 KB |
Output is correct |
49 |
Correct |
13 ms |
23892 KB |
Output is correct |
50 |
Correct |
13 ms |
23768 KB |
Output is correct |
51 |
Correct |
12 ms |
23812 KB |
Output is correct |
52 |
Correct |
13 ms |
23736 KB |
Output is correct |
53 |
Correct |
13 ms |
23768 KB |
Output is correct |
54 |
Correct |
13 ms |
23768 KB |
Output is correct |
55 |
Correct |
13 ms |
23812 KB |
Output is correct |
56 |
Correct |
12 ms |
23764 KB |
Output is correct |
57 |
Correct |
12 ms |
23764 KB |
Output is correct |
58 |
Correct |
14 ms |
23952 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
13 ms |
23764 KB |
Output is correct |
2 |
Correct |
12 ms |
23764 KB |
Output is correct |
3 |
Correct |
12 ms |
23708 KB |
Output is correct |
4 |
Correct |
12 ms |
23808 KB |
Output is correct |
5 |
Correct |
12 ms |
23764 KB |
Output is correct |
6 |
Correct |
12 ms |
23772 KB |
Output is correct |
7 |
Correct |
12 ms |
23764 KB |
Output is correct |
8 |
Correct |
12 ms |
23780 KB |
Output is correct |
9 |
Correct |
13 ms |
23812 KB |
Output is correct |
10 |
Correct |
13 ms |
23820 KB |
Output is correct |
11 |
Correct |
13 ms |
23764 KB |
Output is correct |
12 |
Correct |
13 ms |
23716 KB |
Output is correct |
13 |
Correct |
12 ms |
23764 KB |
Output is correct |
14 |
Correct |
12 ms |
23800 KB |
Output is correct |
15 |
Correct |
12 ms |
23772 KB |
Output is correct |
16 |
Correct |
14 ms |
23812 KB |
Output is correct |
17 |
Correct |
12 ms |
23812 KB |
Output is correct |
18 |
Correct |
12 ms |
23764 KB |
Output is correct |
19 |
Correct |
13 ms |
23740 KB |
Output is correct |
20 |
Correct |
12 ms |
23764 KB |
Output is correct |
21 |
Correct |
13 ms |
23816 KB |
Output is correct |
22 |
Correct |
14 ms |
23892 KB |
Output is correct |
23 |
Correct |
13 ms |
23952 KB |
Output is correct |
24 |
Correct |
14 ms |
24020 KB |
Output is correct |
25 |
Correct |
14 ms |
23912 KB |
Output is correct |
26 |
Correct |
13 ms |
23896 KB |
Output is correct |
27 |
Correct |
13 ms |
23868 KB |
Output is correct |
28 |
Correct |
13 ms |
23824 KB |
Output is correct |
29 |
Correct |
13 ms |
23892 KB |
Output is correct |
30 |
Correct |
13 ms |
23764 KB |
Output is correct |
31 |
Correct |
13 ms |
23868 KB |
Output is correct |
32 |
Correct |
13 ms |
23700 KB |
Output is correct |
33 |
Correct |
14 ms |
23764 KB |
Output is correct |
34 |
Correct |
13 ms |
23764 KB |
Output is correct |
35 |
Correct |
12 ms |
23764 KB |
Output is correct |
36 |
Correct |
14 ms |
23812 KB |
Output is correct |
37 |
Correct |
12 ms |
23784 KB |
Output is correct |
38 |
Correct |
12 ms |
23812 KB |
Output is correct |
39 |
Correct |
14 ms |
23820 KB |
Output is correct |
40 |
Correct |
13 ms |
23780 KB |
Output is correct |
41 |
Correct |
13 ms |
23808 KB |
Output is correct |
42 |
Correct |
13 ms |
23812 KB |
Output is correct |
43 |
Correct |
15 ms |
23892 KB |
Output is correct |
44 |
Correct |
13 ms |
23736 KB |
Output is correct |
45 |
Correct |
13 ms |
23808 KB |
Output is correct |
46 |
Correct |
13 ms |
23764 KB |
Output is correct |
47 |
Correct |
14 ms |
23764 KB |
Output is correct |
48 |
Correct |
13 ms |
23728 KB |
Output is correct |
49 |
Correct |
13 ms |
23892 KB |
Output is correct |
50 |
Correct |
13 ms |
23768 KB |
Output is correct |
51 |
Correct |
12 ms |
23812 KB |
Output is correct |
52 |
Correct |
13 ms |
23736 KB |
Output is correct |
53 |
Correct |
13 ms |
23768 KB |
Output is correct |
54 |
Correct |
13 ms |
23768 KB |
Output is correct |
55 |
Correct |
13 ms |
23812 KB |
Output is correct |
56 |
Correct |
12 ms |
23764 KB |
Output is correct |
57 |
Correct |
12 ms |
23764 KB |
Output is correct |
58 |
Correct |
14 ms |
23952 KB |
Output is correct |
59 |
Correct |
521 ms |
55536 KB |
Output is correct |
60 |
Correct |
492 ms |
49048 KB |
Output is correct |
61 |
Correct |
12 ms |
23816 KB |
Output is correct |
62 |
Correct |
13 ms |
23760 KB |
Output is correct |
63 |
Correct |
437 ms |
53924 KB |
Output is correct |
64 |
Correct |
14 ms |
24332 KB |
Output is correct |
65 |
Correct |
24 ms |
26076 KB |
Output is correct |
66 |
Correct |
163 ms |
43064 KB |
Output is correct |
67 |
Correct |
539 ms |
65228 KB |
Output is correct |
68 |
Correct |
558 ms |
66248 KB |
Output is correct |
69 |
Correct |
24 ms |
25748 KB |
Output is correct |
70 |
Correct |
146 ms |
44064 KB |
Output is correct |
71 |
Correct |
569 ms |
93104 KB |
Output is correct |
72 |
Correct |
496 ms |
88036 KB |
Output is correct |
73 |
Correct |
111 ms |
31752 KB |
Output is correct |
74 |
Correct |
487 ms |
52876 KB |
Output is correct |
75 |
Correct |
44 ms |
29004 KB |
Output is correct |
76 |
Correct |
435 ms |
73648 KB |
Output is correct |
77 |
Correct |
472 ms |
74292 KB |
Output is correct |
78 |
Correct |
35 ms |
27596 KB |
Output is correct |
79 |
Correct |
553 ms |
62960 KB |
Output is correct |
80 |
Correct |
15 ms |
24148 KB |
Output is correct |
81 |
Correct |
153 ms |
39948 KB |
Output is correct |
82 |
Correct |
550 ms |
72304 KB |
Output is correct |
83 |
Correct |
467 ms |
52948 KB |
Output is correct |
84 |
Correct |
453 ms |
53412 KB |
Output is correct |
85 |
Correct |
497 ms |
53300 KB |
Output is correct |
86 |
Correct |
486 ms |
55176 KB |
Output is correct |
87 |
Correct |
453 ms |
55200 KB |
Output is correct |