#include <bits/stdc++.h>
#define ll long long
#define pii pair<int, int>
#define pll pair<ll, ll>
#define F first
#define S second
using namespace std;
int N, ans[200005], sz[200005], dis[200005], vis[2000005], pre[200005];
vector<int> E[200005], cur;
pii res[200005][2];
void update(int i, pii p)
{
if(p.S == res[i][0].S)
res[i][0].F = max(res[i][0].F, p.F);
else if(p.S == res[i][1].S)
res[i][1].F = max(res[i][1].F, p.F);
else if(p.F >= res[i][0].F)
{
res[i][1] = res[i][0];
res[i][0] = p;
}
else if(p.F >= res[i][1].F)
res[i][1] = p;
}
void dfs(int k, int r)
{
cur.emplace_back(k);
vis[k] = 1;
sz[k] = 1;
for(int i : E[k])
if(!vis[i])
{
pre[i] = k;
dis[i] = dis[k] + 1;
dfs(i, r);
sz[k] += sz[i];
}
vis[k] = 0;
update(sz[k], {dis[k], r});
}
void cdec(int k)
{
cur.clear();
pre[k] = 0;
dfs(k, k);
int c = 0, ccnt = 0, M = sz[k];
for(int i : cur)
{
bool valid = (M - sz[i] <= M / 2);
for(int j : E[i])
if(j != pre[i] && !vis[j])
valid &= (sz[j] <= M / 2);
if(valid)
c = i, ccnt++;
}
if(ccnt == 2)
ans[M] = max(2, ans[M]);
assert(ccnt <= 2);
cur.clear();
for(int i = 1; i <= M / 2; i++)
res[i][0] = res[i][1] = {0, c};
vis[c] = 1;
for(int i : E[c])
if(!vis[i])
{
dis[i] = 1;
dfs(i, i);
}
for(int i = M / 2; i >= 1; i--)
{
ans[i * 2] = max(ans[i * 2], res[i][0].F + res[i][1].F + 1);
update(i - 1, res[i][0]);
update(i - 1, res[i][1]);
}
for(int i : E[c])
if(!vis[i])
cdec(i);
}
signed main()
{
cin >> N;
for(int i = 1; i < N; i++)
{
int u, v;
cin >> u >> v;
E[u].emplace_back(v);
E[v].emplace_back(u);
}
cdec(1);
for(int i = 1; i <= N; i++)
cout << max(1, ans[i]) << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
5008 KB |
Output is correct |
5 |
Correct |
3 ms |
4980 KB |
Output is correct |
6 |
Correct |
3 ms |
5012 KB |
Output is correct |
7 |
Correct |
3 ms |
5012 KB |
Output is correct |
8 |
Correct |
3 ms |
4948 KB |
Output is correct |
9 |
Correct |
3 ms |
5008 KB |
Output is correct |
10 |
Correct |
3 ms |
4948 KB |
Output is correct |
11 |
Correct |
3 ms |
4948 KB |
Output is correct |
12 |
Correct |
3 ms |
4948 KB |
Output is correct |
13 |
Correct |
3 ms |
4948 KB |
Output is correct |
14 |
Correct |
3 ms |
4948 KB |
Output is correct |
15 |
Correct |
3 ms |
4948 KB |
Output is correct |
16 |
Correct |
3 ms |
4948 KB |
Output is correct |
17 |
Correct |
3 ms |
4948 KB |
Output is correct |
18 |
Correct |
3 ms |
4948 KB |
Output is correct |
19 |
Correct |
2 ms |
4948 KB |
Output is correct |
20 |
Correct |
3 ms |
4948 KB |
Output is correct |
21 |
Correct |
3 ms |
4948 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
5008 KB |
Output is correct |
5 |
Correct |
3 ms |
4980 KB |
Output is correct |
6 |
Correct |
3 ms |
5012 KB |
Output is correct |
7 |
Correct |
3 ms |
5012 KB |
Output is correct |
8 |
Correct |
3 ms |
4948 KB |
Output is correct |
9 |
Correct |
3 ms |
5008 KB |
Output is correct |
10 |
Correct |
3 ms |
4948 KB |
Output is correct |
11 |
Correct |
3 ms |
4948 KB |
Output is correct |
12 |
Correct |
3 ms |
4948 KB |
Output is correct |
13 |
Correct |
3 ms |
4948 KB |
Output is correct |
14 |
Correct |
3 ms |
4948 KB |
Output is correct |
15 |
Correct |
3 ms |
4948 KB |
Output is correct |
16 |
Correct |
3 ms |
4948 KB |
Output is correct |
17 |
Correct |
3 ms |
4948 KB |
Output is correct |
18 |
Correct |
3 ms |
4948 KB |
Output is correct |
19 |
Correct |
2 ms |
4948 KB |
Output is correct |
20 |
Correct |
3 ms |
4948 KB |
Output is correct |
21 |
Correct |
3 ms |
4948 KB |
Output is correct |
22 |
Incorrect |
7 ms |
5332 KB |
Output isn't correct |
23 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
5008 KB |
Output is correct |
5 |
Correct |
3 ms |
4980 KB |
Output is correct |
6 |
Correct |
3 ms |
5012 KB |
Output is correct |
7 |
Correct |
3 ms |
5012 KB |
Output is correct |
8 |
Correct |
3 ms |
4948 KB |
Output is correct |
9 |
Correct |
3 ms |
5008 KB |
Output is correct |
10 |
Correct |
3 ms |
4948 KB |
Output is correct |
11 |
Correct |
3 ms |
4948 KB |
Output is correct |
12 |
Correct |
3 ms |
4948 KB |
Output is correct |
13 |
Correct |
3 ms |
4948 KB |
Output is correct |
14 |
Correct |
3 ms |
4948 KB |
Output is correct |
15 |
Correct |
3 ms |
4948 KB |
Output is correct |
16 |
Correct |
3 ms |
4948 KB |
Output is correct |
17 |
Correct |
3 ms |
4948 KB |
Output is correct |
18 |
Correct |
3 ms |
4948 KB |
Output is correct |
19 |
Correct |
2 ms |
4948 KB |
Output is correct |
20 |
Correct |
3 ms |
4948 KB |
Output is correct |
21 |
Correct |
3 ms |
4948 KB |
Output is correct |
22 |
Incorrect |
7 ms |
5332 KB |
Output isn't correct |
23 |
Halted |
0 ms |
0 KB |
- |