#include <bits/stdc++.h>
using namespace std;
#define rep(i,l,r) for(int i = (l); i < (r); i++)
#define per(i,r,l) for(int i = (r); i >= (l); i--)
#define all(x) begin(x), end(x)
#define sz(x) (int)size(x)
#define pb push_back
#define ff first
#define ss second
typedef long long ll;
typedef pair<int, int> pp;
void dbg(){
cerr << endl;
}
template<typename H, typename... T> void dbg(H h, T... t){
cerr << h << ", ";
dbg(t...);
}
void IOS(){
cin.tie(0) -> sync_with_stdio(0);
#ifndef ONLINE_JUDGE
// freopen("inp.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
#define er(...) cerr << __LINE__ << " <" << #__VA_ARGS__ << ">: ", dbg(__VA_ARGS__)
#else
#define er(...) 0
#endif
}
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const ll mod = 1e9 + 7, mod2 = 1e9 + 9, maxn = 5e5 + 5, lg = 21, inf = ll(1e18) + 5, p = 9973;
ll pw(ll a, ll b){
if(b == 0) return 1;
ll k = pw(a, b>>1);
return k*k*(b&1ll?a:1);
}
vector<int> adj[maxn];
int cnt[maxn], par[maxn][lg], h[maxn];
void dfs(int r, int p){
cnt[r] = 1;
for(int c: adj[r]) if(c - p){
dfs(c, r);
cnt[r] += cnt[c];
}
}
vector<int> srt[maxn];
void dfs2(int r, int p){
cnt[r] = 1;
par[r][0] = p;
rep(i,1,lg) par[r][i] = par[par[r][i-1]][i-1];
for(int c: adj[r]) if(c - p){
h[c] = h[r] + 1;
dfs2(c, r);
cnt[r] += cnt[c];
}
srt[cnt[r]].pb(r);
}
int lca(int u, int v){
if(h[u] < h[v]) swap(u, v);
per(i,lg-1,0) if(h[par[u][i]] >= h[v]) u = par[u][i];
if(u == v) return u;
per(i,lg-1,0) if(par[u][i] - par[v][i]) u = par[u][i], v = par[v][i];
return par[u][0];
}
int dist(int u, int v){
return h[u] + h[v] - 2*h[lca(u, v)];
}
int getCen(int r, int p, int tot){
for(int c: adj[r]) if(c - p && cnt[c] + cnt[c] > tot) return getCen(c, r, tot);
return r;
}
int main(){ IOS();
int n; cin >> n;
rep(i,1,n){
int u, v; cin >> u >> v; u--, v--;
adj[u].pb(v), adj[v].pb(u);
}
dfs(0, -1);
int r = getCen(0, -1, n);
dfs2(r, r);
vector<int> ans(n + 1, 1);
int u = r, v = r, diam = 0;
for(int k = n>>1; k > 0; k--){
for(int x: srt[k]){
int d1 = dist(x, u), d2 = dist(x, v);
if(d1 > diam){
diam = d1, v = x;
} else if(d2 > diam){
diam = d2, u = x;
}
}
ans[k<<1] = diam + 1;
}
rep(i,1,n+1) cout << ans[i] << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
23764 KB |
Output is correct |
2 |
Correct |
12 ms |
23824 KB |
Output is correct |
3 |
Correct |
13 ms |
23764 KB |
Output is correct |
4 |
Correct |
13 ms |
23816 KB |
Output is correct |
5 |
Correct |
16 ms |
23780 KB |
Output is correct |
6 |
Correct |
12 ms |
23764 KB |
Output is correct |
7 |
Correct |
14 ms |
23820 KB |
Output is correct |
8 |
Correct |
12 ms |
23732 KB |
Output is correct |
9 |
Correct |
12 ms |
23764 KB |
Output is correct |
10 |
Correct |
13 ms |
23832 KB |
Output is correct |
11 |
Correct |
14 ms |
23776 KB |
Output is correct |
12 |
Correct |
13 ms |
23820 KB |
Output is correct |
13 |
Correct |
13 ms |
23764 KB |
Output is correct |
14 |
Correct |
13 ms |
23820 KB |
Output is correct |
15 |
Correct |
13 ms |
23764 KB |
Output is correct |
16 |
Correct |
12 ms |
23764 KB |
Output is correct |
17 |
Correct |
15 ms |
23744 KB |
Output is correct |
18 |
Correct |
15 ms |
23792 KB |
Output is correct |
19 |
Correct |
16 ms |
23840 KB |
Output is correct |
20 |
Correct |
12 ms |
23728 KB |
Output is correct |
21 |
Correct |
12 ms |
23788 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
23764 KB |
Output is correct |
2 |
Correct |
12 ms |
23824 KB |
Output is correct |
3 |
Correct |
13 ms |
23764 KB |
Output is correct |
4 |
Correct |
13 ms |
23816 KB |
Output is correct |
5 |
Correct |
16 ms |
23780 KB |
Output is correct |
6 |
Correct |
12 ms |
23764 KB |
Output is correct |
7 |
Correct |
14 ms |
23820 KB |
Output is correct |
8 |
Correct |
12 ms |
23732 KB |
Output is correct |
9 |
Correct |
12 ms |
23764 KB |
Output is correct |
10 |
Correct |
13 ms |
23832 KB |
Output is correct |
11 |
Correct |
14 ms |
23776 KB |
Output is correct |
12 |
Correct |
13 ms |
23820 KB |
Output is correct |
13 |
Correct |
13 ms |
23764 KB |
Output is correct |
14 |
Correct |
13 ms |
23820 KB |
Output is correct |
15 |
Correct |
13 ms |
23764 KB |
Output is correct |
16 |
Correct |
12 ms |
23764 KB |
Output is correct |
17 |
Correct |
15 ms |
23744 KB |
Output is correct |
18 |
Correct |
15 ms |
23792 KB |
Output is correct |
19 |
Correct |
16 ms |
23840 KB |
Output is correct |
20 |
Correct |
12 ms |
23728 KB |
Output is correct |
21 |
Correct |
12 ms |
23788 KB |
Output is correct |
22 |
Correct |
16 ms |
24372 KB |
Output is correct |
23 |
Correct |
19 ms |
24404 KB |
Output is correct |
24 |
Correct |
17 ms |
24276 KB |
Output is correct |
25 |
Correct |
16 ms |
24348 KB |
Output is correct |
26 |
Correct |
16 ms |
24404 KB |
Output is correct |
27 |
Correct |
16 ms |
24340 KB |
Output is correct |
28 |
Correct |
16 ms |
24328 KB |
Output is correct |
29 |
Correct |
15 ms |
24404 KB |
Output is correct |
30 |
Correct |
16 ms |
24344 KB |
Output is correct |
31 |
Correct |
16 ms |
24344 KB |
Output is correct |
32 |
Correct |
16 ms |
24532 KB |
Output is correct |
33 |
Correct |
15 ms |
24524 KB |
Output is correct |
34 |
Correct |
17 ms |
24396 KB |
Output is correct |
35 |
Correct |
16 ms |
24408 KB |
Output is correct |
36 |
Correct |
17 ms |
24404 KB |
Output is correct |
37 |
Correct |
17 ms |
24428 KB |
Output is correct |
38 |
Correct |
16 ms |
24472 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
23764 KB |
Output is correct |
2 |
Correct |
12 ms |
23824 KB |
Output is correct |
3 |
Correct |
13 ms |
23764 KB |
Output is correct |
4 |
Correct |
13 ms |
23816 KB |
Output is correct |
5 |
Correct |
16 ms |
23780 KB |
Output is correct |
6 |
Correct |
12 ms |
23764 KB |
Output is correct |
7 |
Correct |
14 ms |
23820 KB |
Output is correct |
8 |
Correct |
12 ms |
23732 KB |
Output is correct |
9 |
Correct |
12 ms |
23764 KB |
Output is correct |
10 |
Correct |
13 ms |
23832 KB |
Output is correct |
11 |
Correct |
14 ms |
23776 KB |
Output is correct |
12 |
Correct |
13 ms |
23820 KB |
Output is correct |
13 |
Correct |
13 ms |
23764 KB |
Output is correct |
14 |
Correct |
13 ms |
23820 KB |
Output is correct |
15 |
Correct |
13 ms |
23764 KB |
Output is correct |
16 |
Correct |
12 ms |
23764 KB |
Output is correct |
17 |
Correct |
15 ms |
23744 KB |
Output is correct |
18 |
Correct |
15 ms |
23792 KB |
Output is correct |
19 |
Correct |
16 ms |
23840 KB |
Output is correct |
20 |
Correct |
12 ms |
23728 KB |
Output is correct |
21 |
Correct |
12 ms |
23788 KB |
Output is correct |
22 |
Correct |
16 ms |
24372 KB |
Output is correct |
23 |
Correct |
19 ms |
24404 KB |
Output is correct |
24 |
Correct |
17 ms |
24276 KB |
Output is correct |
25 |
Correct |
16 ms |
24348 KB |
Output is correct |
26 |
Correct |
16 ms |
24404 KB |
Output is correct |
27 |
Correct |
16 ms |
24340 KB |
Output is correct |
28 |
Correct |
16 ms |
24328 KB |
Output is correct |
29 |
Correct |
15 ms |
24404 KB |
Output is correct |
30 |
Correct |
16 ms |
24344 KB |
Output is correct |
31 |
Correct |
16 ms |
24344 KB |
Output is correct |
32 |
Correct |
16 ms |
24532 KB |
Output is correct |
33 |
Correct |
15 ms |
24524 KB |
Output is correct |
34 |
Correct |
17 ms |
24396 KB |
Output is correct |
35 |
Correct |
16 ms |
24408 KB |
Output is correct |
36 |
Correct |
17 ms |
24404 KB |
Output is correct |
37 |
Correct |
17 ms |
24428 KB |
Output is correct |
38 |
Correct |
16 ms |
24472 KB |
Output is correct |
39 |
Correct |
295 ms |
50500 KB |
Output is correct |
40 |
Correct |
296 ms |
49836 KB |
Output is correct |
41 |
Correct |
288 ms |
50616 KB |
Output is correct |
42 |
Correct |
329 ms |
50992 KB |
Output is correct |
43 |
Correct |
307 ms |
50984 KB |
Output is correct |
44 |
Correct |
304 ms |
51120 KB |
Output is correct |
45 |
Correct |
403 ms |
57648 KB |
Output is correct |
46 |
Correct |
403 ms |
62060 KB |
Output is correct |
47 |
Correct |
285 ms |
51356 KB |
Output is correct |
48 |
Correct |
247 ms |
51412 KB |
Output is correct |
49 |
Correct |
325 ms |
51572 KB |
Output is correct |
50 |
Correct |
234 ms |
51416 KB |
Output is correct |
51 |
Correct |
279 ms |
59888 KB |
Output is correct |