#include "bits/stdc++.h"
using namespace std;
#define ar array
const int N = 2e5 + 5;
vector<int> edges[N], tt;
int sub[N], n, C, d[N];
int used[N], ss[N], rr[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 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, 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, int p = -1){
tt.push_back(u);
for(auto x : edges[u]){
if(used[x] || x == p) continue;
get(x, u);
}
}
void dec(int u, int n){
C = -1;
dfs(u, n), dfs(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 x : edges[C]){
if(used[x]) continue;
tt.clear(); get(x, C);
for(auto x : tt){
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 : tt) add({sub[x], d[x]});
}
reverse(edges[C].begin(), edges[C].end());
ss.clear();
for(auto x : edges[C]){
if(used[x]) continue;
tt.clear(); get(x, C);
for(auto x : tt){
auto it = ss.lower_bound({sub[x], -1});
if(it != ss.end()){
rr[sub[x]] = max(rr[sub[x]], d[x] + (*it)[1] + 1);
}
//~ n - (int)tt.size()
rr[min(sub[x], n - (int)tt.size())] =
max(rr[min(sub[x], n - (int)tt.size())], d[x] + 1);
} for(auto x : tt) add({sub[x], d[x]});
}
used[C] = 1;
for(auto x : edges[u]){
if(used[x]) continue;
tt.clear(); get(x, C);
dec(x, (int)tt.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 |
3 ms |
4944 KB |
Output is correct |
2 |
Correct |
3 ms |
4940 KB |
Output is correct |
3 |
Correct |
3 ms |
4940 KB |
Output is correct |
4 |
Correct |
3 ms |
4940 KB |
Output is correct |
5 |
Correct |
2 ms |
4940 KB |
Output is correct |
6 |
Correct |
3 ms |
4940 KB |
Output is correct |
7 |
Correct |
3 ms |
5008 KB |
Output is correct |
8 |
Correct |
3 ms |
4940 KB |
Output is correct |
9 |
Correct |
3 ms |
4940 KB |
Output is correct |
10 |
Correct |
3 ms |
4940 KB |
Output is correct |
11 |
Correct |
3 ms |
5020 KB |
Output is correct |
12 |
Correct |
3 ms |
4940 KB |
Output is correct |
13 |
Correct |
3 ms |
5028 KB |
Output is correct |
14 |
Correct |
4 ms |
4940 KB |
Output is correct |
15 |
Correct |
3 ms |
4940 KB |
Output is correct |
16 |
Correct |
3 ms |
4940 KB |
Output is correct |
17 |
Correct |
3 ms |
5020 KB |
Output is correct |
18 |
Correct |
3 ms |
4940 KB |
Output is correct |
19 |
Correct |
3 ms |
4940 KB |
Output is correct |
20 |
Incorrect |
2 ms |
4940 KB |
Output isn't correct |
21 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4944 KB |
Output is correct |
2 |
Correct |
3 ms |
4940 KB |
Output is correct |
3 |
Correct |
3 ms |
4940 KB |
Output is correct |
4 |
Correct |
3 ms |
4940 KB |
Output is correct |
5 |
Correct |
2 ms |
4940 KB |
Output is correct |
6 |
Correct |
3 ms |
4940 KB |
Output is correct |
7 |
Correct |
3 ms |
5008 KB |
Output is correct |
8 |
Correct |
3 ms |
4940 KB |
Output is correct |
9 |
Correct |
3 ms |
4940 KB |
Output is correct |
10 |
Correct |
3 ms |
4940 KB |
Output is correct |
11 |
Correct |
3 ms |
5020 KB |
Output is correct |
12 |
Correct |
3 ms |
4940 KB |
Output is correct |
13 |
Correct |
3 ms |
5028 KB |
Output is correct |
14 |
Correct |
4 ms |
4940 KB |
Output is correct |
15 |
Correct |
3 ms |
4940 KB |
Output is correct |
16 |
Correct |
3 ms |
4940 KB |
Output is correct |
17 |
Correct |
3 ms |
5020 KB |
Output is correct |
18 |
Correct |
3 ms |
4940 KB |
Output is correct |
19 |
Correct |
3 ms |
4940 KB |
Output is correct |
20 |
Incorrect |
2 ms |
4940 KB |
Output isn't correct |
21 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4944 KB |
Output is correct |
2 |
Correct |
3 ms |
4940 KB |
Output is correct |
3 |
Correct |
3 ms |
4940 KB |
Output is correct |
4 |
Correct |
3 ms |
4940 KB |
Output is correct |
5 |
Correct |
2 ms |
4940 KB |
Output is correct |
6 |
Correct |
3 ms |
4940 KB |
Output is correct |
7 |
Correct |
3 ms |
5008 KB |
Output is correct |
8 |
Correct |
3 ms |
4940 KB |
Output is correct |
9 |
Correct |
3 ms |
4940 KB |
Output is correct |
10 |
Correct |
3 ms |
4940 KB |
Output is correct |
11 |
Correct |
3 ms |
5020 KB |
Output is correct |
12 |
Correct |
3 ms |
4940 KB |
Output is correct |
13 |
Correct |
3 ms |
5028 KB |
Output is correct |
14 |
Correct |
4 ms |
4940 KB |
Output is correct |
15 |
Correct |
3 ms |
4940 KB |
Output is correct |
16 |
Correct |
3 ms |
4940 KB |
Output is correct |
17 |
Correct |
3 ms |
5020 KB |
Output is correct |
18 |
Correct |
3 ms |
4940 KB |
Output is correct |
19 |
Correct |
3 ms |
4940 KB |
Output is correct |
20 |
Incorrect |
2 ms |
4940 KB |
Output isn't correct |
21 |
Halted |
0 ms |
0 KB |
- |