#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define pll pair<ll,ll>
#define pii pair<int,int>
#define fs first
#define sc second
#define tlll tuple<ll,ll,ll>
const int mxn = 1e5+10;
vector<int> tree[mxn];
int N;
namespace S1{
ll ans;
ll dp[mxn];
int mx[mxn];
void dfs(int now,int par){
vector<int> need;
dp[now] = 1;
for(auto nxt:tree[now]){
if(nxt == par)continue;
dfs(nxt,now);
if(dp[nxt])need.push_back(nxt);
}
if(need.size()>=2){
dp[now] = 0;
ans += need.size()*2;
for(int i = 1;i<need.size();i++){
mx[need[i-1]] = need[i];
}
mx[need.back()] = now;
mx[now] = need[0];
need.clear();
}
else if(need.size() == 1){
dp[now] = 0;
ans += 2;
int a = need[0];
mx[now] = a;
mx[a] = now;
}
if(now==par&&dp[now]){
ans += 2;
int a = tree[now][0],b = mx[a];
while(mx[b] != a)b = mx[b];
mx[now] = a;
mx[b] = now;
}
return;
}
void solve(){
dfs(1,1);
return;
}
}
namespace S2{
int mx[mxn],sz[mxn],dep[mxn];
int arr[mxn];
ll ans = 0;
void szdfs(int now,int par){
sz[now] = 1;
for(auto nxt:tree[now]){
if(nxt == par)continue;
szdfs(nxt,now);
sz[now] += sz[nxt];
}
return;
}
int get_centroid(int now,int par,int tar = sz[1]){
for(auto nxt:tree[now]){
if(nxt == par)continue;
if(sz[nxt]>(tar-1)/2)return get_centroid(nxt,now,tar);
}
return now;
}
vector<vector<int>> v;
vector<pii> vp;
void dfs(int now,int par){
dep[now] = dep[par]+1;
ans += dep[now]*2;
v.back().push_back(now);
for(auto nxt:tree[now]){
if(nxt == par)continue;
dfs(nxt,now);
}
return;
}
void solve(){
szdfs(1,1);
int cen = get_centroid(1,1);
for(auto nxt:tree[cen]){
vp.push_back({0,v.size()});
v.push_back({});
dfs(nxt,cen);
vp.back().fs = v.back().size();
}
sort(vp.begin(),vp.end());
v[0].push_back(cen);
vp[0].sc++;
int pt = 0;
while(!v.empty()){
arr[pt] = v.back().back();
v.back().pop_back();
if(v.back().empty())v.pop_back();
pt+=2;
if(pt>=N)pt = 1;
}
for(int i = 0;i<N;i++)assert(arr[i]);
for(int i = 1;i<N;i++){
mx[arr[i]] = arr[i-1];
}
mx[arr[0]] = arr[N-1];
return;
}
}
int main(){
ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin>>N;
for(int i = 1;i<N;i++){
int a,b;
cin>>a>>b;
tree[a].push_back(b);
tree[b].push_back(a);
}
S1::solve();
S2::solve();
cout<<S1::ans<<' '<<S2::ans<<'\n';
for(int i = 1;i<=N;i++)cout<<S1::mx[i]<<' ';cout<<'\n';
for(int i = 1;i<=N;i++)cout<<S2::mx[i]<<' ';cout<<'\n';
return 0;
}
Compilation message
Village.cpp: In function 'void S1::dfs(int, int)':
Village.cpp:31:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
31 | for(int i = 1;i<need.size();i++){
| ~^~~~~~~~~~~~
Village.cpp: In function 'int main()':
Village.cpp:133:2: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
133 | for(int i = 1;i<=N;i++)cout<<S1::mx[i]<<' ';cout<<'\n';
| ^~~
Village.cpp:133:46: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
133 | for(int i = 1;i<=N;i++)cout<<S1::mx[i]<<' ';cout<<'\n';
| ^~~~
Village.cpp:134:2: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
134 | for(int i = 1;i<=N;i++)cout<<S2::mx[i]<<' ';cout<<'\n';
| ^~~
Village.cpp:134:46: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
134 | for(int i = 1;i<=N;i++)cout<<S2::mx[i]<<' ';cout<<'\n';
| ^~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
5208 KB |
Output is correct |
2 |
Correct |
2 ms |
5464 KB |
Output is correct |
3 |
Correct |
1 ms |
5212 KB |
Output is correct |
4 |
Correct |
1 ms |
5212 KB |
Output is correct |
5 |
Correct |
1 ms |
5212 KB |
Output is correct |
6 |
Correct |
1 ms |
5208 KB |
Output is correct |
7 |
Correct |
1 ms |
5216 KB |
Output is correct |
8 |
Correct |
1 ms |
5212 KB |
Output is correct |
9 |
Correct |
2 ms |
5216 KB |
Output is correct |
10 |
Correct |
1 ms |
5212 KB |
Output is correct |
11 |
Correct |
1 ms |
5216 KB |
Output is correct |
12 |
Correct |
2 ms |
5212 KB |
Output is correct |
13 |
Correct |
1 ms |
5212 KB |
Output is correct |
14 |
Correct |
1 ms |
5212 KB |
Output is correct |
15 |
Correct |
2 ms |
5464 KB |
Output is correct |
16 |
Correct |
1 ms |
5212 KB |
Output is correct |
17 |
Correct |
1 ms |
5212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
5212 KB |
Output is correct |
2 |
Correct |
1 ms |
5212 KB |
Output is correct |
3 |
Correct |
2 ms |
5212 KB |
Output is correct |
4 |
Correct |
2 ms |
5212 KB |
Output is correct |
5 |
Correct |
2 ms |
5212 KB |
Output is correct |
6 |
Correct |
3 ms |
5212 KB |
Output is correct |
7 |
Correct |
2 ms |
5352 KB |
Output is correct |
8 |
Correct |
2 ms |
5212 KB |
Output is correct |
9 |
Correct |
2 ms |
5212 KB |
Output is correct |
10 |
Correct |
2 ms |
5212 KB |
Output is correct |
11 |
Correct |
2 ms |
5208 KB |
Output is correct |
12 |
Correct |
2 ms |
5468 KB |
Output is correct |
13 |
Correct |
2 ms |
5464 KB |
Output is correct |
14 |
Correct |
2 ms |
5388 KB |
Output is correct |
15 |
Correct |
1 ms |
5388 KB |
Output is correct |
16 |
Correct |
1 ms |
5212 KB |
Output is correct |
17 |
Correct |
2 ms |
5376 KB |
Output is correct |
18 |
Correct |
2 ms |
5212 KB |
Output is correct |
19 |
Correct |
2 ms |
5468 KB |
Output is correct |
20 |
Correct |
2 ms |
5212 KB |
Output is correct |
21 |
Correct |
2 ms |
5212 KB |
Output is correct |
22 |
Correct |
2 ms |
5212 KB |
Output is correct |
23 |
Correct |
2 ms |
5212 KB |
Output is correct |
24 |
Correct |
2 ms |
5212 KB |
Output is correct |
25 |
Correct |
2 ms |
5212 KB |
Output is correct |
26 |
Correct |
2 ms |
5212 KB |
Output is correct |
27 |
Correct |
1 ms |
5212 KB |
Output is correct |
28 |
Correct |
2 ms |
5212 KB |
Output is correct |
29 |
Correct |
2 ms |
5212 KB |
Output is correct |
30 |
Correct |
1 ms |
5212 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
5208 KB |
Output is correct |
2 |
Correct |
2 ms |
5464 KB |
Output is correct |
3 |
Correct |
1 ms |
5212 KB |
Output is correct |
4 |
Correct |
1 ms |
5212 KB |
Output is correct |
5 |
Correct |
1 ms |
5212 KB |
Output is correct |
6 |
Correct |
1 ms |
5208 KB |
Output is correct |
7 |
Correct |
1 ms |
5216 KB |
Output is correct |
8 |
Correct |
1 ms |
5212 KB |
Output is correct |
9 |
Correct |
2 ms |
5216 KB |
Output is correct |
10 |
Correct |
1 ms |
5212 KB |
Output is correct |
11 |
Correct |
1 ms |
5216 KB |
Output is correct |
12 |
Correct |
2 ms |
5212 KB |
Output is correct |
13 |
Correct |
1 ms |
5212 KB |
Output is correct |
14 |
Correct |
1 ms |
5212 KB |
Output is correct |
15 |
Correct |
2 ms |
5464 KB |
Output is correct |
16 |
Correct |
1 ms |
5212 KB |
Output is correct |
17 |
Correct |
1 ms |
5212 KB |
Output is correct |
18 |
Correct |
1 ms |
5212 KB |
Output is correct |
19 |
Correct |
1 ms |
5212 KB |
Output is correct |
20 |
Correct |
2 ms |
5212 KB |
Output is correct |
21 |
Correct |
2 ms |
5212 KB |
Output is correct |
22 |
Correct |
2 ms |
5212 KB |
Output is correct |
23 |
Correct |
3 ms |
5212 KB |
Output is correct |
24 |
Correct |
2 ms |
5352 KB |
Output is correct |
25 |
Correct |
2 ms |
5212 KB |
Output is correct |
26 |
Correct |
2 ms |
5212 KB |
Output is correct |
27 |
Correct |
2 ms |
5212 KB |
Output is correct |
28 |
Correct |
2 ms |
5208 KB |
Output is correct |
29 |
Correct |
2 ms |
5468 KB |
Output is correct |
30 |
Correct |
2 ms |
5464 KB |
Output is correct |
31 |
Correct |
2 ms |
5388 KB |
Output is correct |
32 |
Correct |
1 ms |
5388 KB |
Output is correct |
33 |
Correct |
1 ms |
5212 KB |
Output is correct |
34 |
Correct |
2 ms |
5376 KB |
Output is correct |
35 |
Correct |
2 ms |
5212 KB |
Output is correct |
36 |
Correct |
2 ms |
5468 KB |
Output is correct |
37 |
Correct |
2 ms |
5212 KB |
Output is correct |
38 |
Correct |
2 ms |
5212 KB |
Output is correct |
39 |
Correct |
2 ms |
5212 KB |
Output is correct |
40 |
Correct |
2 ms |
5212 KB |
Output is correct |
41 |
Correct |
2 ms |
5212 KB |
Output is correct |
42 |
Correct |
2 ms |
5212 KB |
Output is correct |
43 |
Correct |
2 ms |
5212 KB |
Output is correct |
44 |
Correct |
1 ms |
5212 KB |
Output is correct |
45 |
Correct |
2 ms |
5212 KB |
Output is correct |
46 |
Correct |
2 ms |
5212 KB |
Output is correct |
47 |
Correct |
1 ms |
5212 KB |
Output is correct |
48 |
Correct |
44 ms |
10632 KB |
Output is correct |
49 |
Correct |
44 ms |
11464 KB |
Output is correct |
50 |
Correct |
67 ms |
11324 KB |
Output is correct |
51 |
Correct |
34 ms |
9876 KB |
Output is correct |
52 |
Correct |
58 ms |
11308 KB |
Output is correct |
53 |
Correct |
40 ms |
10876 KB |
Output is correct |
54 |
Correct |
36 ms |
13896 KB |
Output is correct |
55 |
Correct |
77 ms |
23240 KB |
Output is correct |
56 |
Correct |
58 ms |
16900 KB |
Output is correct |
57 |
Correct |
52 ms |
14920 KB |
Output is correct |
58 |
Correct |
49 ms |
13072 KB |
Output is correct |
59 |
Correct |
45 ms |
11224 KB |
Output is correct |
60 |
Correct |
44 ms |
17340 KB |
Output is correct |
61 |
Correct |
41 ms |
13012 KB |
Output is correct |
62 |
Correct |
40 ms |
11660 KB |
Output is correct |
63 |
Correct |
35 ms |
11324 KB |
Output is correct |
64 |
Correct |
45 ms |
11508 KB |
Output is correct |
65 |
Correct |
51 ms |
11796 KB |
Output is correct |
66 |
Correct |
34 ms |
11552 KB |
Output is correct |
67 |
Correct |
40 ms |
10968 KB |
Output is correct |
68 |
Correct |
42 ms |
10652 KB |
Output is correct |
69 |
Correct |
35 ms |
11760 KB |
Output is correct |
70 |
Correct |
51 ms |
11452 KB |
Output is correct |
71 |
Correct |
25 ms |
9960 KB |
Output is correct |
72 |
Correct |
28 ms |
10584 KB |
Output is correct |
73 |
Correct |
39 ms |
11956 KB |
Output is correct |
74 |
Correct |
31 ms |
11036 KB |
Output is correct |
75 |
Correct |
42 ms |
11068 KB |
Output is correct |
76 |
Correct |
43 ms |
11012 KB |
Output is correct |
77 |
Correct |
39 ms |
11424 KB |
Output is correct |
78 |
Correct |
26 ms |
9368 KB |
Output is correct |
79 |
Correct |
49 ms |
10084 KB |
Output is correct |
80 |
Correct |
43 ms |
11080 KB |
Output is correct |
81 |
Correct |
39 ms |
11484 KB |
Output is correct |
82 |
Correct |
39 ms |
11556 KB |
Output is correct |