#include "bits/stdc++.h"
using namespace std;
#define ar array
const int N = 2e5 + 5;
vector<int> edges[N], S[N];
int used[N], ss[N], rr[N];
int sub[N], n, d[N];
void dff(int u, int p = -1){
ss[u] = 1;
for(auto x : edges[u]){
if(x == p) continue;
dff(x, u);
ss[u] += ss[x];
}
}
void dfs(int u, int& C, int n, int p = -1){
sub[u] = 1;
if(p == -1) d[u] = 0;
for(auto x : edges[u]){
if(x == p) continue;
if(!used[x]){
d[x] = d[u] + 1;
dfs(x, C, n, u);
sub[u] += sub[x];
} else {
if(ss[u] > ss[x]) sub[u] += ss[x];
else sub[u] += (::n - ss[u]);
}
}
if(sub[u] > n / 2 && C == -1) C = u;
}
void get(int u, vector<int>& tt, int p = -1){
tt.push_back(u);
for(auto x : edges[u]){
if(used[x] || x == p) continue;
get(x, tt, u);
}
}
void dec(int u, int n){
int C = -1;
dfs(u, C, n), dfs(C, C, n);
set<ar<int, 2>> ss;
auto add = [&](ar<int, 2> x){
auto it = ss.lower_bound({x[0] + 1, -1});
if(it != ss.end()){
if((*it)[1] >= x[1]) return;;
}
vector<ar<int, 2>> del;
while(it != ss.begin()){
it--;
if((*it)[1] <= x[1]) del.push_back(*it);
else break;
}
for(auto v : del) ss.erase(v);
ss.insert(x);
};
for(auto v : edges[C]){
if(used[v]) continue;
S[v].clear(); get(v, S[v], C);
for(auto x : S[v]){
auto it = ss.lower_bound({sub[x], -1});
if(it != ss.end()){
rr[sub[x]] = max(rr[sub[x]], d[x] + (*it)[1] + 1);
}
} for(auto x : S[v]) add({sub[x], d[x]});
}
reverse(edges[C].begin(), edges[C].end());
ss.clear();
for(auto v : edges[C]){
if(used[v]) continue;
for(auto x : S[v]){
auto it = ss.lower_bound({sub[x], -1});
if(it != ss.end()){
rr[sub[x]] = max(rr[sub[x]], d[x] + (*it)[1] + 1);
}
rr[min(sub[x], n - (int)S[v].size())] =
max(rr[min(sub[x], n - (int)S[v].size())], d[x] + 1);
} for(auto x : S[v]) add({sub[x], d[x]});
}
used[C] = 1;
for(auto x : edges[C]){
if(used[x]) continue;
//~ tt.clear(); get(x, C);
dec(x, (int)S[x].size());
}
}
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
cin>>n;
for(int i=1;i<n;i++){
int a, b; cin>>a>>b;
edges[a].push_back(b);
edges[b].push_back(a);
}
dff(1);
dec(1, n);
rr[n] = 1;
for(int i=n;i>0;i--) rr[i] = max(rr[i], rr[i+1]);
for(int i=1;i<=n;i++){
if(i&1) cout<<1<<"\n";
else cout<<rr[i/2]<<"\n";
}
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
9676 KB |
Output is correct |
2 |
Correct |
5 ms |
9732 KB |
Output is correct |
3 |
Correct |
5 ms |
9676 KB |
Output is correct |
4 |
Correct |
7 ms |
9732 KB |
Output is correct |
5 |
Correct |
6 ms |
9676 KB |
Output is correct |
6 |
Correct |
5 ms |
9676 KB |
Output is correct |
7 |
Correct |
5 ms |
9676 KB |
Output is correct |
8 |
Correct |
7 ms |
9672 KB |
Output is correct |
9 |
Correct |
6 ms |
9676 KB |
Output is correct |
10 |
Correct |
5 ms |
9696 KB |
Output is correct |
11 |
Correct |
5 ms |
9740 KB |
Output is correct |
12 |
Correct |
5 ms |
9676 KB |
Output is correct |
13 |
Correct |
5 ms |
9676 KB |
Output is correct |
14 |
Correct |
5 ms |
9676 KB |
Output is correct |
15 |
Correct |
5 ms |
9676 KB |
Output is correct |
16 |
Correct |
5 ms |
9676 KB |
Output is correct |
17 |
Correct |
5 ms |
9676 KB |
Output is correct |
18 |
Correct |
5 ms |
9676 KB |
Output is correct |
19 |
Correct |
5 ms |
9676 KB |
Output is correct |
20 |
Correct |
5 ms |
9676 KB |
Output is correct |
21 |
Correct |
5 ms |
9676 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
9676 KB |
Output is correct |
2 |
Correct |
5 ms |
9732 KB |
Output is correct |
3 |
Correct |
5 ms |
9676 KB |
Output is correct |
4 |
Correct |
7 ms |
9732 KB |
Output is correct |
5 |
Correct |
6 ms |
9676 KB |
Output is correct |
6 |
Correct |
5 ms |
9676 KB |
Output is correct |
7 |
Correct |
5 ms |
9676 KB |
Output is correct |
8 |
Correct |
7 ms |
9672 KB |
Output is correct |
9 |
Correct |
6 ms |
9676 KB |
Output is correct |
10 |
Correct |
5 ms |
9696 KB |
Output is correct |
11 |
Correct |
5 ms |
9740 KB |
Output is correct |
12 |
Correct |
5 ms |
9676 KB |
Output is correct |
13 |
Correct |
5 ms |
9676 KB |
Output is correct |
14 |
Correct |
5 ms |
9676 KB |
Output is correct |
15 |
Correct |
5 ms |
9676 KB |
Output is correct |
16 |
Correct |
5 ms |
9676 KB |
Output is correct |
17 |
Correct |
5 ms |
9676 KB |
Output is correct |
18 |
Correct |
5 ms |
9676 KB |
Output is correct |
19 |
Correct |
5 ms |
9676 KB |
Output is correct |
20 |
Correct |
5 ms |
9676 KB |
Output is correct |
21 |
Correct |
5 ms |
9676 KB |
Output is correct |
22 |
Correct |
11 ms |
10060 KB |
Output is correct |
23 |
Correct |
12 ms |
10036 KB |
Output is correct |
24 |
Correct |
11 ms |
10060 KB |
Output is correct |
25 |
Correct |
11 ms |
10060 KB |
Output is correct |
26 |
Correct |
12 ms |
10112 KB |
Output is correct |
27 |
Correct |
12 ms |
10036 KB |
Output is correct |
28 |
Correct |
11 ms |
10132 KB |
Output is correct |
29 |
Correct |
11 ms |
10060 KB |
Output is correct |
30 |
Correct |
14 ms |
10060 KB |
Output is correct |
31 |
Correct |
15 ms |
10060 KB |
Output is correct |
32 |
Correct |
198 ms |
21372 KB |
Output is correct |
33 |
Correct |
469 ms |
39900 KB |
Output is correct |
34 |
Correct |
7 ms |
10060 KB |
Output is correct |
35 |
Correct |
8 ms |
10060 KB |
Output is correct |
36 |
Correct |
31 ms |
10496 KB |
Output is correct |
37 |
Correct |
12 ms |
10084 KB |
Output is correct |
38 |
Correct |
118 ms |
17596 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
9676 KB |
Output is correct |
2 |
Correct |
5 ms |
9732 KB |
Output is correct |
3 |
Correct |
5 ms |
9676 KB |
Output is correct |
4 |
Correct |
7 ms |
9732 KB |
Output is correct |
5 |
Correct |
6 ms |
9676 KB |
Output is correct |
6 |
Correct |
5 ms |
9676 KB |
Output is correct |
7 |
Correct |
5 ms |
9676 KB |
Output is correct |
8 |
Correct |
7 ms |
9672 KB |
Output is correct |
9 |
Correct |
6 ms |
9676 KB |
Output is correct |
10 |
Correct |
5 ms |
9696 KB |
Output is correct |
11 |
Correct |
5 ms |
9740 KB |
Output is correct |
12 |
Correct |
5 ms |
9676 KB |
Output is correct |
13 |
Correct |
5 ms |
9676 KB |
Output is correct |
14 |
Correct |
5 ms |
9676 KB |
Output is correct |
15 |
Correct |
5 ms |
9676 KB |
Output is correct |
16 |
Correct |
5 ms |
9676 KB |
Output is correct |
17 |
Correct |
5 ms |
9676 KB |
Output is correct |
18 |
Correct |
5 ms |
9676 KB |
Output is correct |
19 |
Correct |
5 ms |
9676 KB |
Output is correct |
20 |
Correct |
5 ms |
9676 KB |
Output is correct |
21 |
Correct |
5 ms |
9676 KB |
Output is correct |
22 |
Correct |
11 ms |
10060 KB |
Output is correct |
23 |
Correct |
12 ms |
10036 KB |
Output is correct |
24 |
Correct |
11 ms |
10060 KB |
Output is correct |
25 |
Correct |
11 ms |
10060 KB |
Output is correct |
26 |
Correct |
12 ms |
10112 KB |
Output is correct |
27 |
Correct |
12 ms |
10036 KB |
Output is correct |
28 |
Correct |
11 ms |
10132 KB |
Output is correct |
29 |
Correct |
11 ms |
10060 KB |
Output is correct |
30 |
Correct |
14 ms |
10060 KB |
Output is correct |
31 |
Correct |
15 ms |
10060 KB |
Output is correct |
32 |
Correct |
198 ms |
21372 KB |
Output is correct |
33 |
Correct |
469 ms |
39900 KB |
Output is correct |
34 |
Correct |
7 ms |
10060 KB |
Output is correct |
35 |
Correct |
8 ms |
10060 KB |
Output is correct |
36 |
Correct |
31 ms |
10496 KB |
Output is correct |
37 |
Correct |
12 ms |
10084 KB |
Output is correct |
38 |
Correct |
118 ms |
17596 KB |
Output is correct |
39 |
Correct |
721 ms |
31540 KB |
Output is correct |
40 |
Correct |
703 ms |
31044 KB |
Output is correct |
41 |
Correct |
664 ms |
31432 KB |
Output is correct |
42 |
Correct |
676 ms |
31648 KB |
Output is correct |
43 |
Correct |
723 ms |
31788 KB |
Output is correct |
44 |
Correct |
666 ms |
31928 KB |
Output is correct |
45 |
Execution timed out |
4078 ms |
234112 KB |
Time limit exceeded |
46 |
Halted |
0 ms |
0 KB |
- |