#include <bits/stdc++.h>
using namespace std;
vector<vector<int>> g;
vector<int> alatt;
vector<bool> volt;
int meret(int akt, int os){
alatt[akt] = 1;
for(int x : g[akt])
if(!volt[x] && x != os)
alatt[akt] += meret(x, akt);
return alatt[akt];
}
int getc(int akt, int os, int m){
for(int x : g[akt])
if(!volt[x] && x != os && alatt[x]*2 > m)
return getc(x, akt, m);
return akt;
}
void upd(set<pair<int, int>> &s, pair<int, int> p){
auto it = s.insert(p).first;
if(next(it) != s.end() && next(it)->second >= it->second){
s.erase(it);
}else{
while(it != s.begin() && prev(it)->second <= it->second)
s.erase(prev(it));
}
}
void bejar(set<pair<int, int>> &s1, set<pair<int, int>> &s2, int akt, int t, int os, int rem){
auto it = s1.lower_bound({alatt[akt], 0});
if(it != s1.end()){
//cout<<"uj: "<<2*alatt[akt]<<' '<<t<<" | "<<it->first<<' '<<it->second<<'\n';
upd(s2, {2*alatt[akt], t + it->second + 1});
}
upd(s2, {min(alatt[akt], rem)*2, t+1});
for(int x : g[akt])
if(!volt[x] && x != os)
bejar(s1, s2, x, t+1, akt, rem);
}
void berak(set<pair<int, int>> &s, int akt, int t, int os){
//cout<<"berak: "<<akt<<' '<<alatt[akt]<<'\n';
upd(s, {alatt[akt], t});
for(int x : g[akt])
if(!volt[x] && x != os)
berak(s, x, t+1, akt);
}
vector<int> ki;
void decomposition(int c){
c = getc(c, -1, meret(c, -1));
volt[c] = true;
meret(c, -1);
set<pair<int, int>> s1, s2;
for(int x : g[c]){
if(!volt[x]){
bejar(s1, s2, x, 1, c, alatt[c] - alatt[x]);
berak(s1, x, 1, c);
}
}
s1.clear();
reverse(g[c].begin(), g[c].end());
for(int x : g[c]){
if(!volt[x]){
bejar(s1, s2, x, 1, c, alatt[c] - alatt[x]);
berak(s1, x, 1, c);
}
}
//cout<<"centroid: "<<c<<'\n';
for(auto p : s2){
//cout<<p.first<<' '<<p.second<<'\n';
ki[p.first] = max(ki[p.first], p.second);
}
for(int x : g[c])
if(!volt[x])
decomposition(x);
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int n;
cin>>n;
g.resize(n);
ki.resize(n+1);
alatt.resize(n);
volt.assign(n, false);
for(int i = 0; i < n-1; i++){
int a, b;
cin>>a>>b;
--a, --b;
g[a].push_back(b);
g[b].push_back(a);
}
decomposition(0);
/*cout<<"ki: ";
for(int i = 0; i <= n; i++) cout<<ki[i]<<' ';
cout<<'\n';*/
ki[n] = max(ki[n], 1);
for(int i = n-1; i >= 0; i--){
ki[i] = max(ki[i], ki[i+1]);
}
for(int i = 1; i <= n; i++){
cout<<(i%2 ? 1 : ki[i])<<'\n';
}
return 0;
}
/*
4
1 2
2 3
3 4
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
316 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
316 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
320 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
316 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
316 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
316 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
320 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
316 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
15 ms |
620 KB |
Output is correct |
23 |
Correct |
13 ms |
616 KB |
Output is correct |
24 |
Correct |
13 ms |
584 KB |
Output is correct |
25 |
Correct |
13 ms |
588 KB |
Output is correct |
26 |
Correct |
12 ms |
624 KB |
Output is correct |
27 |
Correct |
11 ms |
596 KB |
Output is correct |
28 |
Correct |
13 ms |
616 KB |
Output is correct |
29 |
Correct |
12 ms |
628 KB |
Output is correct |
30 |
Correct |
14 ms |
628 KB |
Output is correct |
31 |
Correct |
12 ms |
624 KB |
Output is correct |
32 |
Correct |
22 ms |
980 KB |
Output is correct |
33 |
Correct |
26 ms |
1280 KB |
Output is correct |
34 |
Correct |
5 ms |
596 KB |
Output is correct |
35 |
Correct |
4 ms |
520 KB |
Output is correct |
36 |
Correct |
17 ms |
676 KB |
Output is correct |
37 |
Correct |
5 ms |
628 KB |
Output is correct |
38 |
Correct |
12 ms |
980 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
0 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
1 ms |
316 KB |
Output is correct |
8 |
Correct |
0 ms |
212 KB |
Output is correct |
9 |
Correct |
1 ms |
212 KB |
Output is correct |
10 |
Correct |
1 ms |
316 KB |
Output is correct |
11 |
Correct |
1 ms |
316 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
212 KB |
Output is correct |
14 |
Correct |
1 ms |
212 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
320 KB |
Output is correct |
17 |
Correct |
0 ms |
212 KB |
Output is correct |
18 |
Correct |
0 ms |
316 KB |
Output is correct |
19 |
Correct |
1 ms |
212 KB |
Output is correct |
20 |
Correct |
1 ms |
212 KB |
Output is correct |
21 |
Correct |
1 ms |
340 KB |
Output is correct |
22 |
Correct |
15 ms |
620 KB |
Output is correct |
23 |
Correct |
13 ms |
616 KB |
Output is correct |
24 |
Correct |
13 ms |
584 KB |
Output is correct |
25 |
Correct |
13 ms |
588 KB |
Output is correct |
26 |
Correct |
12 ms |
624 KB |
Output is correct |
27 |
Correct |
11 ms |
596 KB |
Output is correct |
28 |
Correct |
13 ms |
616 KB |
Output is correct |
29 |
Correct |
12 ms |
628 KB |
Output is correct |
30 |
Correct |
14 ms |
628 KB |
Output is correct |
31 |
Correct |
12 ms |
624 KB |
Output is correct |
32 |
Correct |
22 ms |
980 KB |
Output is correct |
33 |
Correct |
26 ms |
1280 KB |
Output is correct |
34 |
Correct |
5 ms |
596 KB |
Output is correct |
35 |
Correct |
4 ms |
520 KB |
Output is correct |
36 |
Correct |
17 ms |
676 KB |
Output is correct |
37 |
Correct |
5 ms |
628 KB |
Output is correct |
38 |
Correct |
12 ms |
980 KB |
Output is correct |
39 |
Correct |
1178 ms |
15732 KB |
Output is correct |
40 |
Correct |
1284 ms |
15404 KB |
Output is correct |
41 |
Correct |
1244 ms |
15748 KB |
Output is correct |
42 |
Correct |
1146 ms |
16012 KB |
Output is correct |
43 |
Correct |
1262 ms |
16016 KB |
Output is correct |
44 |
Correct |
1255 ms |
16016 KB |
Output is correct |
45 |
Correct |
2719 ms |
32704 KB |
Output is correct |
46 |
Correct |
2461 ms |
43704 KB |
Output is correct |
47 |
Correct |
259 ms |
16364 KB |
Output is correct |
48 |
Correct |
135 ms |
16436 KB |
Output is correct |
49 |
Correct |
1358 ms |
17168 KB |
Output is correct |
50 |
Correct |
236 ms |
16608 KB |
Output is correct |
51 |
Correct |
1264 ms |
37932 KB |
Output is correct |