#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define all(x) x.begin(), x.end()
#define mp make_pair
#define mt make_tuple
#define x first
#define y second
#define int ll
const int L = 19;
const int N = 1 << 19;
const int INF = 1e18;
int n;
vector<int> g[N];
int down[N], value[N];
int tl[N], tr[N], ti = 0;
int st[L][N];
int l2[N];
int hei[N];
int saved[N];
int argmin(int i, int j) {
return tl[i] < tl[j] ? i : j;
}
void dfs(int v, int p) {
down[v] = 1;
tl[v] = ti;
st[0][ti++] = v;
vector<int> sons;
for (int u : g[v]) {
if (u == p) {
continue;
}
hei[u] = hei[v] + 1;
dfs(u, v);
down[v] += down[u];
sons.push_back(down[u]);
st[0][ti++] = v;
}
sons.push_back(n - down[v]);
value[v] = n - *max_element(all(sons));
tr[v] = ti;
}
int lca(int v, int u) {
int l = min(tl[v], tl[u]);
int r = max(tl[v], tl[u]) + 1;
int i = l2[r - l];
return argmin(st[i][l], st[i][r - (1 << i)]);
}
int dist(int v, int u) {
int l = lca(v, u);
return hei[v] + hei[u] - 2 * hei[l];
}
int dv = -1, du = -1;
int add(int v) {
// cout << "add " << v + 1 << endl;
if (dv == -1) {
dv = v;
du = v;
return 1;
}
if (dist(v, dv) < dist(v, du)) {
swap(dv, du);
}
if (dist(v, dv) > dist(du, dv)) {
du = v;
}
// cout << dv + 1 << " " << du + 1 << "\t" << dist(dv, du) + 1 << endl;
return dist(dv, du) + 1;
}
signed main() {
#ifdef LC
assert(freopen("input.txt", "r", stdin));
#endif
ios::sync_with_stdio(0); cin.tie(0);
cin >> n;
for (int v, u, i = 0; i < n - 1; ++i) {
cin >> v >> u;
--v, --u;
g[v].push_back(u);
g[u].push_back(v);
}
dfs(0, 0);
for (int i = 2; i < N; ++i) {
l2[i] = l2[i / 2] + 1;
}
for (int i = 1; i < L; ++i) {
for (int j = 0; j + (1 << i) <= N; ++j) {
st[i][j] = argmin(st[i - 1][j], st[i - 1][j + (1 << (i - 1))]);
}
}
vector<pair<int, int>> order;
for (int i = 0; i < n; ++i) {
order.emplace_back(value[i], i);
}
sort(order.rbegin(), order.rend());
for (auto e : order) {
int cd = add(e.y);
// cout << "upd " << e.x << " " << cd << endl;
saved[e.x] = max(saved[e.x], cd);
}
for (int i = N - 2; i >= 0; --i) {
saved[i] = max(saved[i], saved[i + 1]);
}
for (int i = 1; i <= n; ++i) {
if (i % 2) {
cout << "1\n";
} else {
cout << saved[i / 2] << "\n";
}
}
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
60 ms |
90684 KB |
Output is correct |
2 |
Correct |
63 ms |
90740 KB |
Output is correct |
3 |
Correct |
70 ms |
90620 KB |
Output is correct |
4 |
Correct |
62 ms |
90576 KB |
Output is correct |
5 |
Correct |
67 ms |
90688 KB |
Output is correct |
6 |
Correct |
61 ms |
90612 KB |
Output is correct |
7 |
Correct |
68 ms |
90576 KB |
Output is correct |
8 |
Correct |
60 ms |
90564 KB |
Output is correct |
9 |
Correct |
61 ms |
90640 KB |
Output is correct |
10 |
Correct |
61 ms |
90672 KB |
Output is correct |
11 |
Correct |
60 ms |
90560 KB |
Output is correct |
12 |
Correct |
62 ms |
90652 KB |
Output is correct |
13 |
Correct |
62 ms |
90620 KB |
Output is correct |
14 |
Correct |
61 ms |
90644 KB |
Output is correct |
15 |
Correct |
60 ms |
90564 KB |
Output is correct |
16 |
Correct |
60 ms |
90668 KB |
Output is correct |
17 |
Correct |
61 ms |
90664 KB |
Output is correct |
18 |
Correct |
71 ms |
90676 KB |
Output is correct |
19 |
Correct |
66 ms |
90660 KB |
Output is correct |
20 |
Correct |
64 ms |
90728 KB |
Output is correct |
21 |
Correct |
60 ms |
90600 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
60 ms |
90684 KB |
Output is correct |
2 |
Correct |
63 ms |
90740 KB |
Output is correct |
3 |
Correct |
70 ms |
90620 KB |
Output is correct |
4 |
Correct |
62 ms |
90576 KB |
Output is correct |
5 |
Correct |
67 ms |
90688 KB |
Output is correct |
6 |
Correct |
61 ms |
90612 KB |
Output is correct |
7 |
Correct |
68 ms |
90576 KB |
Output is correct |
8 |
Correct |
60 ms |
90564 KB |
Output is correct |
9 |
Correct |
61 ms |
90640 KB |
Output is correct |
10 |
Correct |
61 ms |
90672 KB |
Output is correct |
11 |
Correct |
60 ms |
90560 KB |
Output is correct |
12 |
Correct |
62 ms |
90652 KB |
Output is correct |
13 |
Correct |
62 ms |
90620 KB |
Output is correct |
14 |
Correct |
61 ms |
90644 KB |
Output is correct |
15 |
Correct |
60 ms |
90564 KB |
Output is correct |
16 |
Correct |
60 ms |
90668 KB |
Output is correct |
17 |
Correct |
61 ms |
90664 KB |
Output is correct |
18 |
Correct |
71 ms |
90676 KB |
Output is correct |
19 |
Correct |
66 ms |
90660 KB |
Output is correct |
20 |
Correct |
64 ms |
90728 KB |
Output is correct |
21 |
Correct |
60 ms |
90600 KB |
Output is correct |
22 |
Correct |
64 ms |
91076 KB |
Output is correct |
23 |
Correct |
63 ms |
91156 KB |
Output is correct |
24 |
Correct |
76 ms |
91160 KB |
Output is correct |
25 |
Correct |
66 ms |
91172 KB |
Output is correct |
26 |
Correct |
63 ms |
91156 KB |
Output is correct |
27 |
Correct |
63 ms |
91108 KB |
Output is correct |
28 |
Correct |
63 ms |
91176 KB |
Output is correct |
29 |
Correct |
63 ms |
91080 KB |
Output is correct |
30 |
Correct |
66 ms |
91136 KB |
Output is correct |
31 |
Correct |
67 ms |
91108 KB |
Output is correct |
32 |
Correct |
63 ms |
91276 KB |
Output is correct |
33 |
Correct |
63 ms |
91500 KB |
Output is correct |
34 |
Correct |
73 ms |
91172 KB |
Output is correct |
35 |
Correct |
62 ms |
91136 KB |
Output is correct |
36 |
Correct |
64 ms |
91212 KB |
Output is correct |
37 |
Correct |
63 ms |
91264 KB |
Output is correct |
38 |
Correct |
63 ms |
91208 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
60 ms |
90684 KB |
Output is correct |
2 |
Correct |
63 ms |
90740 KB |
Output is correct |
3 |
Correct |
70 ms |
90620 KB |
Output is correct |
4 |
Correct |
62 ms |
90576 KB |
Output is correct |
5 |
Correct |
67 ms |
90688 KB |
Output is correct |
6 |
Correct |
61 ms |
90612 KB |
Output is correct |
7 |
Correct |
68 ms |
90576 KB |
Output is correct |
8 |
Correct |
60 ms |
90564 KB |
Output is correct |
9 |
Correct |
61 ms |
90640 KB |
Output is correct |
10 |
Correct |
61 ms |
90672 KB |
Output is correct |
11 |
Correct |
60 ms |
90560 KB |
Output is correct |
12 |
Correct |
62 ms |
90652 KB |
Output is correct |
13 |
Correct |
62 ms |
90620 KB |
Output is correct |
14 |
Correct |
61 ms |
90644 KB |
Output is correct |
15 |
Correct |
60 ms |
90564 KB |
Output is correct |
16 |
Correct |
60 ms |
90668 KB |
Output is correct |
17 |
Correct |
61 ms |
90664 KB |
Output is correct |
18 |
Correct |
71 ms |
90676 KB |
Output is correct |
19 |
Correct |
66 ms |
90660 KB |
Output is correct |
20 |
Correct |
64 ms |
90728 KB |
Output is correct |
21 |
Correct |
60 ms |
90600 KB |
Output is correct |
22 |
Correct |
64 ms |
91076 KB |
Output is correct |
23 |
Correct |
63 ms |
91156 KB |
Output is correct |
24 |
Correct |
76 ms |
91160 KB |
Output is correct |
25 |
Correct |
66 ms |
91172 KB |
Output is correct |
26 |
Correct |
63 ms |
91156 KB |
Output is correct |
27 |
Correct |
63 ms |
91108 KB |
Output is correct |
28 |
Correct |
63 ms |
91176 KB |
Output is correct |
29 |
Correct |
63 ms |
91080 KB |
Output is correct |
30 |
Correct |
66 ms |
91136 KB |
Output is correct |
31 |
Correct |
67 ms |
91108 KB |
Output is correct |
32 |
Correct |
63 ms |
91276 KB |
Output is correct |
33 |
Correct |
63 ms |
91500 KB |
Output is correct |
34 |
Correct |
73 ms |
91172 KB |
Output is correct |
35 |
Correct |
62 ms |
91136 KB |
Output is correct |
36 |
Correct |
64 ms |
91212 KB |
Output is correct |
37 |
Correct |
63 ms |
91264 KB |
Output is correct |
38 |
Correct |
63 ms |
91208 KB |
Output is correct |
39 |
Correct |
326 ms |
112332 KB |
Output is correct |
40 |
Correct |
314 ms |
114300 KB |
Output is correct |
41 |
Correct |
340 ms |
114984 KB |
Output is correct |
42 |
Correct |
339 ms |
115284 KB |
Output is correct |
43 |
Correct |
324 ms |
115240 KB |
Output is correct |
44 |
Correct |
350 ms |
115244 KB |
Output is correct |
45 |
Correct |
325 ms |
122860 KB |
Output is correct |
46 |
Correct |
279 ms |
128460 KB |
Output is correct |
47 |
Correct |
286 ms |
115260 KB |
Output is correct |
48 |
Correct |
261 ms |
115568 KB |
Output is correct |
49 |
Correct |
291 ms |
115652 KB |
Output is correct |
50 |
Correct |
247 ms |
115664 KB |
Output is correct |
51 |
Correct |
283 ms |
127124 KB |
Output is correct |