#include <bits/stdc++.h>
#define int ll
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define rng(i,c,n) for(int i=c;i<n;i++)
#define fi first
#define se second
#define pb push_back
#define sz(a) (int)a.size()
#define vec(...) vector<__VA_ARGS__>
#define _3fm6nhZ ios::sync_with_stdio(0),cin.tie(0)
typedef long long ll;
using pii=pair<int,int>;
using vi=vector<int>;
void print(){cout<<'\n';}
template<class h,class...t>
void print(const h&v,const t&...u){cout<<v<<' ',print(u...);}
#define all(a) a.begin(),a.end()
signed main(){
_3fm6nhZ;
int n;
cin>>n;
vec(vi) adj(n);
rep(i,n-1){
int u,v;
cin>>u>>v;
u-=1,v-=1;
adj[u].pb(v);
adj[v].pb(u);
}
int ans=0;
vi ert(n);
auto dfs=[&](auto self,int v,int par)->int{
vi rbts;
for(auto u:adj[v]){
if(u==par) continue;
int e=self(self,u,v);
if(e) rbts.pb(u);
}
if(sz(rbts)==0) return 1;
for(int i=0;i<sz(rbts)-sz(rbts)%2;i+=2){
ert[rbts[i]]=rbts[i+1];
ert[rbts[i+1]]=rbts[i];
ans+=4;
}
if(sz(rbts)%2){
ert[v]=rbts.back();
ert[rbts.back()]=v;
ans+=2;
}else{
ert[v]=rbts.back();
ert[ert[rbts.back()]]=v;
}
return 0;
};
int e=dfs(dfs,0,-1);
if(e){
int v=0;
int u=adj[0][0];
ans+=2;
rep(s,n){
if(ert[s]==u){
ert[v]=u;
ert[s]=0;
break;
}
}
}
int ans1=0;
vi chs(n);
auto pre_rfs=[&](auto self,int v,int par)->void{
chs[v]=1;
for(auto u:adj[v]){
if(u==par) continue;
self(self,u,v);
chs[v]+=chs[u];
ans1+=2*min(chs[u],n-chs[u]);
}
};
pre_rfs(pre_rfs,0,-1);
auto rfs=[&](auto self,int v,int par)->int{
for(auto u:adj[v]){
if(u==par) continue;
if(2*chs[u]>=n){
return self(self,u,v);
}
}
return v;
};
int rt=rfs(rfs,0,-1);
chs=vi(n,0);
ans1=0;
pre_rfs(pre_rfs,rt,-1);
vi rbts;
auto add=[&](auto self,int v,int par)->void{
rbts.pb(v);
for(auto u:adj[v]){
if(u==par) continue;
self(self,u,v);
}
};
vi delay={rt};
vi usd(n,0);
vi ert1(n);
auto ask=[&](auto self,int v,int par)->void{
// print(v,sz(rbts)+sz(delay));
// assert(sz(rbts)+sz(delay));
if(sz(delay)){
int s=delay.back();
ert1[s]=v;
delay.pop_back();
}else{
int s=rbts.back();
usd[s]=1;
ert1[s]=v;
rbts.pop_back();
}
for(auto u:adj[v]){
if(u==par) continue;
self(self,u,v);
}
};
sort(all(adj[rt]),[&](int l,int r){
return chs[l]<chs[r];
});
for(auto u:adj[rt]){
add(add,u,rt);
}
per(i,sz(adj[rt])){
int u=adj[rt][i];
vi now;
rep(_,chs[u]){
if(!sz(rbts) or usd[rbts.back()]) continue;
now.pb(rbts.back());
rbts.pop_back();
}
ask(ask,u,rt);
for(auto v:now){
delay.pb(v);
}
}
assert(sz(delay));
ert1[delay.back()]=rt;
cout<<ans<<" "<<ans1<<"\n";
rep(i,n){
cout<<ert[i]+1<<" ";
}
print();
rep(i,n){
cout<<ert1[i]+1<<" ";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Partially correct |
1 ms |
212 KB |
Partially correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Partially correct |
0 ms |
212 KB |
Partially correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Partially correct |
0 ms |
212 KB |
Partially correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Partially correct |
0 ms |
212 KB |
Partially correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Partially correct |
0 ms |
212 KB |
Partially correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Partially correct |
1 ms |
340 KB |
Partially correct |
2 |
Correct |
1 ms |
340 KB |
Output is 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 |
Correct |
1 ms |
468 KB |
Output is correct |
8 |
Partially correct |
1 ms |
340 KB |
Partially correct |
9 |
Partially correct |
1 ms |
340 KB |
Partially correct |
10 |
Partially correct |
1 ms |
468 KB |
Partially correct |
11 |
Partially correct |
1 ms |
468 KB |
Partially correct |
12 |
Correct |
1 ms |
340 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Partially correct |
1 ms |
340 KB |
Partially correct |
15 |
Partially correct |
1 ms |
340 KB |
Partially correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Partially correct |
1 ms |
340 KB |
Partially correct |
18 |
Correct |
1 ms |
340 KB |
Output is correct |
19 |
Correct |
1 ms |
340 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is 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 |
340 KB |
Partially 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 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Partially correct |
1 ms |
212 KB |
Partially correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Partially correct |
0 ms |
212 KB |
Partially correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Partially correct |
0 ms |
212 KB |
Partially correct |
7 |
Correct |
0 ms |
212 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
0 ms |
212 KB |
Output is correct |
10 |
Partially correct |
0 ms |
212 KB |
Partially correct |
11 |
Correct |
0 ms |
212 KB |
Output is correct |
12 |
Correct |
0 ms |
212 KB |
Output is correct |
13 |
Correct |
0 ms |
212 KB |
Output is correct |
14 |
Correct |
0 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Partially correct |
0 ms |
212 KB |
Partially correct |
18 |
Partially correct |
1 ms |
340 KB |
Partially correct |
19 |
Correct |
1 ms |
340 KB |
Output is 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 |
Correct |
1 ms |
468 KB |
Output is correct |
25 |
Partially correct |
1 ms |
340 KB |
Partially correct |
26 |
Partially correct |
1 ms |
340 KB |
Partially correct |
27 |
Partially correct |
1 ms |
468 KB |
Partially correct |
28 |
Partially correct |
1 ms |
468 KB |
Partially correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Partially correct |
1 ms |
340 KB |
Partially correct |
32 |
Partially correct |
1 ms |
340 KB |
Partially correct |
33 |
Correct |
1 ms |
340 KB |
Output is correct |
34 |
Partially correct |
1 ms |
340 KB |
Partially correct |
35 |
Correct |
1 ms |
340 KB |
Output is correct |
36 |
Correct |
1 ms |
340 KB |
Output is correct |
37 |
Correct |
1 ms |
340 KB |
Output is correct |
38 |
Partially correct |
1 ms |
340 KB |
Partially correct |
39 |
Partially correct |
1 ms |
340 KB |
Partially correct |
40 |
Partially correct |
1 ms |
340 KB |
Partially correct |
41 |
Partially correct |
1 ms |
340 KB |
Partially 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 |
11800 KB |
Partially correct |
49 |
Correct |
83 ms |
12996 KB |
Output is correct |
50 |
Partially correct |
83 ms |
12888 KB |
Partially correct |
51 |
Partially correct |
54 ms |
9972 KB |
Partially correct |
52 |
Partially correct |
85 ms |
12396 KB |
Partially correct |
53 |
Partially correct |
95 ms |
11540 KB |
Partially correct |
54 |
Correct |
39 ms |
13300 KB |
Output is correct |
55 |
Correct |
138 ms |
27544 KB |
Output is correct |
56 |
Partially correct |
109 ms |
19940 KB |
Partially correct |
57 |
Partially correct |
105 ms |
17508 KB |
Partially correct |
58 |
Partially correct |
96 ms |
15316 KB |
Partially correct |
59 |
Partially correct |
79 ms |
13116 KB |
Partially correct |
60 |
Correct |
53 ms |
12588 KB |
Output is correct |
61 |
Partially correct |
56 ms |
12608 KB |
Partially correct |
62 |
Correct |
58 ms |
13256 KB |
Output is correct |
63 |
Partially correct |
54 ms |
12396 KB |
Partially correct |
64 |
Partially correct |
64 ms |
12864 KB |
Partially correct |
65 |
Correct |
62 ms |
13628 KB |
Output is correct |
66 |
Correct |
55 ms |
12108 KB |
Output is correct |
67 |
Partially correct |
46 ms |
9752 KB |
Partially correct |
68 |
Partially correct |
50 ms |
11192 KB |
Partially correct |
69 |
Partially correct |
61 ms |
13424 KB |
Partially correct |
70 |
Correct |
53 ms |
12296 KB |
Output is correct |
71 |
Partially correct |
37 ms |
9096 KB |
Partially correct |
72 |
Partially correct |
42 ms |
10556 KB |
Partially correct |
73 |
Correct |
72 ms |
13380 KB |
Output is correct |
74 |
Partially correct |
52 ms |
12032 KB |
Partially correct |
75 |
Partially correct |
86 ms |
13212 KB |
Partially correct |
76 |
Partially correct |
73 ms |
12744 KB |
Partially correct |
77 |
Correct |
78 ms |
12880 KB |
Output is correct |
78 |
Correct |
39 ms |
8520 KB |
Output is correct |
79 |
Partially correct |
52 ms |
10148 KB |
Partially correct |
80 |
Partially correct |
90 ms |
13312 KB |
Partially correct |
81 |
Partially correct |
64 ms |
12780 KB |
Partially correct |
82 |
Partially correct |
61 ms |
12604 KB |
Partially correct |