#include <bits/stdc++.h>
using namespace std;
typedef pair<int,int> pii;
int n,pos[100001],ans_min,st=1,sz[100001],mov[100001];
long long ans_max;
vector<int> adj[100001];
void dfs_min(int x, int par) {
for (auto s : adj[x]) if (s!=par) dfs_min(s,x);
if (pos[x]==x) {
if (x==st) swap(pos[x],pos[adj[x][0]]);
else swap(pos[x],pos[par]);
ans_min+=2;
}
}
int dfs_sz(int x, int par) {
sz[x]=1;
for (auto s : adj[x]) if (s!=par) sz[x]+=dfs_sz(s,x);
ans_max+=2*min(sz[x],n-sz[x]);
return sz[x];
}
int cen(int x, int par) {
for (auto s : adj[x]) if (s!=par && sz[s]>n/2) return cen(s,x);
return x;
}
vector<int> group[100001];
void dfs(int x, int par, int idx) {
group[idx].push_back(x);
for (auto s : adj[x]) if (s!=par) dfs(s,x,idx);
}
void sol_max() {
dfs_sz(1,0);
int centroid=cen(1,0);
for (int i=0; i<adj[centroid].size(); ++i) dfs(adj[centroid][i],centroid,i+1);
group[0].push_back(centroid);
vector<pii> v;
for (int i=0; i<=adj[centroid].size(); ++i) v.push_back(pii(group[i].size(),i));
sort(v.begin(),v.end());
int siz=v.size();
queue<int> q;
for (int i=0; i<siz-1; ++i) {
int n1=v[i].second, n2=v[i+1].second;
for (int j=0; j<group[n1].size(); ++j) swap(mov[group[n1][j]],mov[group[n2][j]]);
if (i!=siz-2) for (auto s : group[n1]) q.push(s);
}
for (int i=group[v[siz-2].second].size(); i<group[v[siz-1].second].size(); ++i) {
swap(mov[group[v[siz-1].second][i]],mov[q.front()]);
q.pop();
}
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin>>n;
for (int i=1; i<=n; ++i) pos[i]=i, mov[i]=i;
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 (adj[i].size()>1) st=i;
dfs_min(st,0);
sol_max();
cout<<ans_min<<" "<<ans_max<<"\n";
for (int i=1; i<=n; ++i) cout<<pos[i]<<" ";
cout<<"\n";
for (int i=1; i<=n; ++i) cout<<mov[i]<<" ";
}
Compilation message
Village.cpp: In function 'void sol_max()':
Village.cpp:40:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
40 | for (int i=0; i<adj[centroid].size(); ++i) dfs(adj[centroid][i],centroid,i+1);
| ~^~~~~~~~~~~~~~~~~~~~~
Village.cpp:44:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
44 | for (int i=0; i<=adj[centroid].size(); ++i) v.push_back(pii(group[i].size(),i));
| ~^~~~~~~~~~~~~~~~~~~~~~
Village.cpp:51:24: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
51 | for (int j=0; j<group[n1].size(); ++j) swap(mov[group[n1][j]],mov[group[n2][j]]);
| ~^~~~~~~~~~~~~~~~~
Village.cpp:55:48: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
55 | for (int i=group[v[siz-2].second].size(); i<group[v[siz-1].second].size(); ++i) {
| ~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
5076 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
2 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
5020 KB |
Output is correct |
5 |
Correct |
3 ms |
4948 KB |
Output is correct |
6 |
Correct |
3 ms |
4948 KB |
Output is correct |
7 |
Correct |
2 ms |
4948 KB |
Output is correct |
8 |
Correct |
3 ms |
4960 KB |
Output is correct |
9 |
Correct |
2 ms |
5020 KB |
Output is correct |
10 |
Correct |
3 ms |
4948 KB |
Output is correct |
11 |
Correct |
2 ms |
4948 KB |
Output is correct |
12 |
Correct |
2 ms |
4948 KB |
Output is correct |
13 |
Correct |
2 ms |
4948 KB |
Output is correct |
14 |
Correct |
2 ms |
4976 KB |
Output is correct |
15 |
Correct |
2 ms |
4948 KB |
Output is correct |
16 |
Correct |
2 ms |
4948 KB |
Output is correct |
17 |
Correct |
2 ms |
5020 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
5004 KB |
Output is correct |
5 |
Correct |
3 ms |
5076 KB |
Output is correct |
6 |
Correct |
3 ms |
5076 KB |
Output is correct |
7 |
Correct |
3 ms |
5076 KB |
Output is correct |
8 |
Correct |
3 ms |
5076 KB |
Output is correct |
9 |
Correct |
3 ms |
5076 KB |
Output is correct |
10 |
Correct |
2 ms |
5076 KB |
Output is correct |
11 |
Correct |
2 ms |
5076 KB |
Output is correct |
12 |
Correct |
4 ms |
5076 KB |
Output is correct |
13 |
Correct |
3 ms |
5076 KB |
Output is correct |
14 |
Correct |
2 ms |
5076 KB |
Output is correct |
15 |
Correct |
3 ms |
5076 KB |
Output is correct |
16 |
Correct |
3 ms |
5076 KB |
Output is correct |
17 |
Correct |
3 ms |
5076 KB |
Output is correct |
18 |
Correct |
3 ms |
5076 KB |
Output is correct |
19 |
Correct |
3 ms |
5076 KB |
Output is correct |
20 |
Correct |
3 ms |
5076 KB |
Output is correct |
21 |
Correct |
3 ms |
5076 KB |
Output is correct |
22 |
Correct |
3 ms |
5076 KB |
Output is correct |
23 |
Correct |
3 ms |
5076 KB |
Output is correct |
24 |
Correct |
3 ms |
5076 KB |
Output is correct |
25 |
Correct |
2 ms |
4948 KB |
Output is correct |
26 |
Correct |
2 ms |
5076 KB |
Output is correct |
27 |
Correct |
2 ms |
4948 KB |
Output is correct |
28 |
Correct |
3 ms |
5076 KB |
Output is correct |
29 |
Correct |
3 ms |
5076 KB |
Output is correct |
30 |
Correct |
3 ms |
5076 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
5076 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
2 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
5020 KB |
Output is correct |
5 |
Correct |
3 ms |
4948 KB |
Output is correct |
6 |
Correct |
3 ms |
4948 KB |
Output is correct |
7 |
Correct |
2 ms |
4948 KB |
Output is correct |
8 |
Correct |
3 ms |
4960 KB |
Output is correct |
9 |
Correct |
2 ms |
5020 KB |
Output is correct |
10 |
Correct |
3 ms |
4948 KB |
Output is correct |
11 |
Correct |
2 ms |
4948 KB |
Output is correct |
12 |
Correct |
2 ms |
4948 KB |
Output is correct |
13 |
Correct |
2 ms |
4948 KB |
Output is correct |
14 |
Correct |
2 ms |
4976 KB |
Output is correct |
15 |
Correct |
2 ms |
4948 KB |
Output is correct |
16 |
Correct |
2 ms |
4948 KB |
Output is correct |
17 |
Correct |
2 ms |
5020 KB |
Output is correct |
18 |
Correct |
3 ms |
4948 KB |
Output is correct |
19 |
Correct |
2 ms |
4948 KB |
Output is correct |
20 |
Correct |
3 ms |
4948 KB |
Output is correct |
21 |
Correct |
3 ms |
5004 KB |
Output is correct |
22 |
Correct |
3 ms |
5076 KB |
Output is correct |
23 |
Correct |
3 ms |
5076 KB |
Output is correct |
24 |
Correct |
3 ms |
5076 KB |
Output is correct |
25 |
Correct |
3 ms |
5076 KB |
Output is correct |
26 |
Correct |
3 ms |
5076 KB |
Output is correct |
27 |
Correct |
2 ms |
5076 KB |
Output is correct |
28 |
Correct |
2 ms |
5076 KB |
Output is correct |
29 |
Correct |
4 ms |
5076 KB |
Output is correct |
30 |
Correct |
3 ms |
5076 KB |
Output is correct |
31 |
Correct |
2 ms |
5076 KB |
Output is correct |
32 |
Correct |
3 ms |
5076 KB |
Output is correct |
33 |
Correct |
3 ms |
5076 KB |
Output is correct |
34 |
Correct |
3 ms |
5076 KB |
Output is correct |
35 |
Correct |
3 ms |
5076 KB |
Output is correct |
36 |
Correct |
3 ms |
5076 KB |
Output is correct |
37 |
Correct |
3 ms |
5076 KB |
Output is correct |
38 |
Correct |
3 ms |
5076 KB |
Output is correct |
39 |
Correct |
3 ms |
5076 KB |
Output is correct |
40 |
Correct |
3 ms |
5076 KB |
Output is correct |
41 |
Correct |
3 ms |
5076 KB |
Output is correct |
42 |
Correct |
2 ms |
4948 KB |
Output is correct |
43 |
Correct |
2 ms |
5076 KB |
Output is correct |
44 |
Correct |
2 ms |
4948 KB |
Output is correct |
45 |
Correct |
3 ms |
5076 KB |
Output is correct |
46 |
Correct |
3 ms |
5076 KB |
Output is correct |
47 |
Correct |
3 ms |
5076 KB |
Output is correct |
48 |
Correct |
40 ms |
11624 KB |
Output is correct |
49 |
Correct |
50 ms |
12316 KB |
Output is correct |
50 |
Correct |
44 ms |
12284 KB |
Output is correct |
51 |
Correct |
34 ms |
10776 KB |
Output is correct |
52 |
Correct |
59 ms |
12332 KB |
Output is correct |
53 |
Correct |
40 ms |
11668 KB |
Output is correct |
54 |
Correct |
27 ms |
11408 KB |
Output is correct |
55 |
Correct |
56 ms |
18244 KB |
Output is correct |
56 |
Correct |
63 ms |
15008 KB |
Output is correct |
57 |
Correct |
54 ms |
13940 KB |
Output is correct |
58 |
Correct |
49 ms |
13088 KB |
Output is correct |
59 |
Correct |
43 ms |
12364 KB |
Output is correct |
60 |
Correct |
43 ms |
15408 KB |
Output is correct |
61 |
Correct |
39 ms |
13224 KB |
Output is correct |
62 |
Correct |
39 ms |
12604 KB |
Output is correct |
63 |
Correct |
36 ms |
12368 KB |
Output is correct |
64 |
Correct |
40 ms |
12736 KB |
Output is correct |
65 |
Correct |
37 ms |
12728 KB |
Output is correct |
66 |
Correct |
34 ms |
12372 KB |
Output is correct |
67 |
Correct |
31 ms |
11060 KB |
Output is correct |
68 |
Correct |
33 ms |
11576 KB |
Output is correct |
69 |
Correct |
38 ms |
12872 KB |
Output is correct |
70 |
Correct |
34 ms |
12424 KB |
Output is correct |
71 |
Correct |
26 ms |
10444 KB |
Output is correct |
72 |
Correct |
29 ms |
11192 KB |
Output is correct |
73 |
Correct |
36 ms |
12840 KB |
Output is correct |
74 |
Correct |
34 ms |
12096 KB |
Output is correct |
75 |
Correct |
44 ms |
12136 KB |
Output is correct |
76 |
Correct |
42 ms |
12124 KB |
Output is correct |
77 |
Correct |
37 ms |
12312 KB |
Output is correct |
78 |
Correct |
27 ms |
9944 KB |
Output is correct |
79 |
Correct |
31 ms |
10792 KB |
Output is correct |
80 |
Correct |
54 ms |
12232 KB |
Output is correct |
81 |
Correct |
38 ms |
12496 KB |
Output is correct |
82 |
Correct |
37 ms |
12548 KB |
Output is correct |