// Success consists of going from failure to failure without loss of enthusiasm
#include <bits/stdc++.h>
using namespace std;
#define nl '\n'
#define pb push_back
#define pf push_front
#define mp make_pair
#define f first
#define s second
#define sz(x) int(x.size())
template<class T> using V = vector<T>;
using pi = pair<int, int>;
using vi = V<int>;
using vpi = V<pi>;
using ll = long long;
using pl = pair<ll, ll>;
using vpl = V<pl>;
using vl = V<ll>;
using db = long double;
template<class T> using pq = priority_queue<T, V<T>, greater<T>>;
const int MOD = 1e9 + 7;
const ll INFL = ll(1e17);
const int LG = 19;
int main() {
cin.tie(0)->sync_with_stdio(0);
int N; cin >> N;
V<vi> adj(N);
for(int i = 0; i < N-1; i++) {
int u, v; cin >> u >> v; --u, --v;
adj[u].pb(v);
adj[v].pb(u);
}
vi sub(N), X(N, MOD);
function<void(int, int)> prep = [&](int u, int p) {
sub[u] = 1;
for(auto& v : adj[u]) if (v != p) {
prep(v, u);
X[u] = min(X[u], N - sub[v]);
sub[u] += sub[v];
}
X[u] = min(X[u], sub[u]);
// cout << "X " << X[u] << " " << u << endl;
};
prep(0, -1);
vi dep(N); V<vi> up(N, vi(LG));
function<void(int, int)> gen = [&](int u, int p) {
up[u][0] = p; dep[u] = (u == p ? 0 : dep[p] + 1);
for(int i = 1; i < LG; i++) up[u][i] = up[up[u][i-1]][i-1];
for(auto& v : adj[u]) if (v != p) gen(v, u);
};
auto jmp = [&](int u, int d) {
for(int i = 0; i < LG; i++) if ((d >> i) & 1) u = up[u][i];
return u;
};
auto lca = [&](int a, int b) {
if (dep[a] < dep[b]) swap(a, b);
a = jmp(a, dep[a] - dep[b]);
if (a == b) return a;
for(int i = LG - 1; i >= 0; i--) {
if (up[a][i] != up[b][i]) {
a = up[a][i], b = up[b][i];
}
}
return up[a][0];
};
auto dist = [&](int a, int b) { return dep[a] + dep[b] - 2 * dep[lca(a, b)]; };
gen(0, 0);
vi U(N); iota(begin(U), end(U), 0);
sort(begin(U), end(U), [&](int a, int b) {
return X[a] > X[b];
});
int a = U[0], b = U[0], d = 0;
vi ans(N, 1);
for(int i = N / 2, cur = 0; i >= 1; i--) {
while(cur < N && X[U[cur]] >= i) {
// add U[cur];
int x = U[cur];
// cerr << "ADD " << x << endl;
int xa = dist(x, a), xb = dist(x, b);
if (d < xa) b = x, d = xa;
else if (d < xb) a = x, d = xb;
cur++;
}
// cerr << "=> " << d << endl;
ans[2 * i - 1] = d + 1;
}
for(int i = 0; i < N; i++) cout << ans[i] << nl;
exit(0-0);
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
456 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
344 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
460 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
456 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
344 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
460 KB |
Output is correct |
22 |
Correct |
3 ms |
1116 KB |
Output is correct |
23 |
Correct |
4 ms |
1232 KB |
Output is correct |
24 |
Correct |
4 ms |
1268 KB |
Output is correct |
25 |
Correct |
2 ms |
1116 KB |
Output is correct |
26 |
Correct |
3 ms |
1116 KB |
Output is correct |
27 |
Correct |
2 ms |
1116 KB |
Output is correct |
28 |
Correct |
3 ms |
1116 KB |
Output is correct |
29 |
Correct |
3 ms |
1252 KB |
Output is correct |
30 |
Correct |
3 ms |
1116 KB |
Output is correct |
31 |
Correct |
3 ms |
1116 KB |
Output is correct |
32 |
Correct |
3 ms |
1372 KB |
Output is correct |
33 |
Correct |
3 ms |
1372 KB |
Output is correct |
34 |
Correct |
2 ms |
1116 KB |
Output is correct |
35 |
Correct |
2 ms |
1116 KB |
Output is correct |
36 |
Correct |
3 ms |
1368 KB |
Output is correct |
37 |
Correct |
3 ms |
1116 KB |
Output is correct |
38 |
Correct |
3 ms |
1372 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Correct |
0 ms |
348 KB |
Output is correct |
5 |
Correct |
0 ms |
348 KB |
Output is correct |
6 |
Correct |
0 ms |
348 KB |
Output is correct |
7 |
Correct |
0 ms |
348 KB |
Output is correct |
8 |
Correct |
0 ms |
348 KB |
Output is correct |
9 |
Correct |
0 ms |
348 KB |
Output is correct |
10 |
Correct |
0 ms |
348 KB |
Output is correct |
11 |
Correct |
1 ms |
456 KB |
Output is correct |
12 |
Correct |
1 ms |
604 KB |
Output is correct |
13 |
Correct |
1 ms |
348 KB |
Output is correct |
14 |
Correct |
0 ms |
348 KB |
Output is correct |
15 |
Correct |
0 ms |
348 KB |
Output is correct |
16 |
Correct |
1 ms |
344 KB |
Output is correct |
17 |
Correct |
0 ms |
344 KB |
Output is correct |
18 |
Correct |
0 ms |
348 KB |
Output is correct |
19 |
Correct |
0 ms |
344 KB |
Output is correct |
20 |
Correct |
0 ms |
348 KB |
Output is correct |
21 |
Correct |
0 ms |
460 KB |
Output is correct |
22 |
Correct |
3 ms |
1116 KB |
Output is correct |
23 |
Correct |
4 ms |
1232 KB |
Output is correct |
24 |
Correct |
4 ms |
1268 KB |
Output is correct |
25 |
Correct |
2 ms |
1116 KB |
Output is correct |
26 |
Correct |
3 ms |
1116 KB |
Output is correct |
27 |
Correct |
2 ms |
1116 KB |
Output is correct |
28 |
Correct |
3 ms |
1116 KB |
Output is correct |
29 |
Correct |
3 ms |
1252 KB |
Output is correct |
30 |
Correct |
3 ms |
1116 KB |
Output is correct |
31 |
Correct |
3 ms |
1116 KB |
Output is correct |
32 |
Correct |
3 ms |
1372 KB |
Output is correct |
33 |
Correct |
3 ms |
1372 KB |
Output is correct |
34 |
Correct |
2 ms |
1116 KB |
Output is correct |
35 |
Correct |
2 ms |
1116 KB |
Output is correct |
36 |
Correct |
3 ms |
1368 KB |
Output is correct |
37 |
Correct |
3 ms |
1116 KB |
Output is correct |
38 |
Correct |
3 ms |
1372 KB |
Output is correct |
39 |
Correct |
218 ms |
40056 KB |
Output is correct |
40 |
Correct |
227 ms |
39424 KB |
Output is correct |
41 |
Correct |
223 ms |
40152 KB |
Output is correct |
42 |
Correct |
233 ms |
40788 KB |
Output is correct |
43 |
Correct |
217 ms |
40792 KB |
Output is correct |
44 |
Correct |
260 ms |
40796 KB |
Output is correct |
45 |
Correct |
393 ms |
46532 KB |
Output is correct |
46 |
Correct |
316 ms |
51828 KB |
Output is correct |
47 |
Correct |
163 ms |
41084 KB |
Output is correct |
48 |
Correct |
148 ms |
41416 KB |
Output is correct |
49 |
Correct |
244 ms |
41664 KB |
Output is correct |
50 |
Correct |
146 ms |
41412 KB |
Output is correct |
51 |
Correct |
205 ms |
50376 KB |
Output is correct |