oj.uz

Submission #805561

# Submission time Handle Problem Language Result Execution time Memory
805561 2023-08-03T17:52:39 Z vjudge1 Meetings 2 (JOI21_meetings2) C++17
100 / 100
 437 ms 58200 KB 
#include<bits/stdc++.h>

using namespace std;
using ll = long long;

const int B = 0;
const int N = 3e5 + 10;
const int INF = 1e9;
vector<int> g[N];

int n;
int sz[N];
int anc[N][20];
int tin[N], tout[N], T, depth[N];
void precalc(int s, int p) {
    if(s == p) T = 0, depth[s] = 0;
    sz[s] = 1;
    anc[s][0] = p;
    tin[s] = T++;
    for(int i = 1; i < 20; i++) 
        anc[s][i] = anc[anc[s][i - 1]][i - 1];
    for(int to : g[s]) {
        if(to == p) continue;
        depth[to] = depth[s] + 1;
        precalc(to, s);
        sz[s] += sz[to];
    }
    tout[s] = T++;
}
bool up(int u, int v) {
    return tin[u] <= tin[v] && tout[u] >= tout[v];
}
int lca(int u, int v) {
    if(up(u, v)) return u;
    if(up(v, u)) return v;
    for(int i = 19; i >= 0; i--) {
        if(!up(anc[u][i], v)) u = anc[u][i];
    }
    return anc[u][0];
}
int dist(int u, int v) {
    return depth[u] + depth[v] - 2 * depth[lca(u, v)];
}

int root;
vector<int> rs(N, 1);

int LIM;
int dfs(int s, int p, int k) {
    if(k > LIM) return 0;
    int f = -INF;
    if(sz[s] >= k) f = 0;
    int mx0 = -INF, mx1 = -INF;

    for(int to : g[s]) {
        if(to == p) continue;
        int x = dfs(to, s, k);
        if(x >= mx0) mx1 = mx0, mx0 = x;
        else if(x > mx1) mx1 = x;
        f = max(f, x + 1);
    }
    rs[2 * k] = max(rs[2 * k], mx0 + mx1 + 2 + (s != root));
    return f;
}

int func(int u, int v) {
    if(sz[u] < sz[v]) swap(u, v);
    return min(sz[v], n - sz[v]);
}
vector<int> ver[N];
int lb[N];

void DFS(int s, int p) {
    lb[s] = B + 1;
    for(int to : g[s]) {
        if(to == p) continue;
        DFS(to, s);
        lb[s] = max(lb[to], lb[s]);
    }
    while(lb[s] <= min(sz[s], LIM)) {
        ver[lb[s]++].push_back(s); 
    }
}

int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);cout.tie(0);
    cin >> n;
    vector<pair<int, int>> edges;
    for(int i = 1; i < n; i++) {
        int a, b;
        cin >> a >> b;
        edges.push_back({a, b});
        g[a].push_back(b);
        g[b].push_back(a);
    }
    if(n == 1) {
        cout << 1;
        return 0;
    }

    precalc(1, 1);
    int x0 = edges[0].first, x1 = edges[0].second;
    for(auto [u, v] : edges) {
        if(func(x0, x1) < func(u, v)) {
            x0 = u;
            x1 = v;
        }
    }
    LIM = func(x0, x1);
    g[x0].erase(find(g[x0].begin(), g[x0].end(), x1));
    g[x1].erase(find(g[x1].begin(), g[x1].end(), x0));
    root = n + 1;
    g[root].push_back(x0);
    g[root].push_back(x1);

    precalc(root, root);
    DFS(root, root);

    for(int i = 1; i <= B; i++) 
        dfs(root, root, i);
    for(int i = B + 1; i <= LIM; i++) {
        if(ver[i].size() < 2) break;
        int x = ver[i][0], w = 0;
        for(int c : ver[i]) {
            if(depth[c] > depth[x]) x = c;
        }
        for(int c : ver[i]) {
            int v = dist(c, x) + (lca(c, x) != root); 
            w = max(w, v);
        } 
        rs[2 * i] = w;
        // cout << "sz=" << i << ": " << x << ' ' << y << '\n'; 
        // if(lca(x, y) != root) rs[2 * i]++;
    }
    for(int i = 1; i <= n; i++) 
        cout << rs[i] << '\n';
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 15572 KB Output is correct
2 Correct 7 ms 15572 KB Output is correct
3 Correct 8 ms 15612 KB Output is correct
4 Correct 8 ms 15572 KB Output is correct
5 Correct 7 ms 15572 KB Output is correct
6 Correct 8 ms 15584 KB Output is correct
7 Correct 10 ms 15544 KB Output is correct
8 Correct 9 ms 15572 KB Output is correct
9 Correct 8 ms 15572 KB Output is correct
10 Correct 7 ms 15572 KB Output is correct
11 Correct 7 ms 15572 KB Output is correct
12 Correct 7 ms 15616 KB Output is correct
13 Correct 8 ms 15572 KB Output is correct
14 Correct 9 ms 15612 KB Output is correct
15 Correct 8 ms 15572 KB Output is correct
16 Correct 8 ms 15632 KB Output is correct
17 Correct 7 ms 15572 KB Output is correct
18 Correct 8 ms 15616 KB Output is correct
19 Correct 7 ms 15620 KB Output is correct
20 Correct 8 ms 15700 KB Output is correct
21 Correct 8 ms 15512 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 15572 KB Output is correct
2 Correct 7 ms 15572 KB Output is correct
3 Correct 8 ms 15612 KB Output is correct
4 Correct 8 ms 15572 KB Output is correct
5 Correct 7 ms 15572 KB Output is correct
6 Correct 8 ms 15584 KB Output is correct
7 Correct 10 ms 15544 KB Output is correct
8 Correct 9 ms 15572 KB Output is correct
9 Correct 8 ms 15572 KB Output is correct
10 Correct 7 ms 15572 KB Output is correct
11 Correct 7 ms 15572 KB Output is correct
12 Correct 7 ms 15616 KB Output is correct
13 Correct 8 ms 15572 KB Output is correct
14 Correct 9 ms 15612 KB Output is correct
15 Correct 8 ms 15572 KB Output is correct
16 Correct 8 ms 15632 KB Output is correct
17 Correct 7 ms 15572 KB Output is correct
18 Correct 8 ms 15616 KB Output is correct
19 Correct 7 ms 15620 KB Output is correct
20 Correct 8 ms 15700 KB Output is correct
21 Correct 8 ms 15512 KB Output is correct
22 Correct 11 ms 16340 KB Output is correct
23 Correct 12 ms 16336 KB Output is correct
24 Correct 11 ms 16212 KB Output is correct
25 Correct 11 ms 16276 KB Output is correct
26 Correct 11 ms 16212 KB Output is correct
27 Correct 11 ms 16212 KB Output is correct
28 Correct 11 ms 16272 KB Output is correct
29 Correct 11 ms 16212 KB Output is correct
30 Correct 11 ms 16352 KB Output is correct
31 Correct 10 ms 16340 KB Output is correct
32 Correct 10 ms 16340 KB Output is correct
33 Correct 11 ms 16488 KB Output is correct
34 Correct 10 ms 16272 KB Output is correct
35 Correct 10 ms 16260 KB Output is correct
36 Correct 9 ms 16264 KB Output is correct
37 Correct 9 ms 16212 KB Output is correct
38 Correct 9 ms 16340 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 15572 KB Output is correct
2 Correct 7 ms 15572 KB Output is correct
3 Correct 8 ms 15612 KB Output is correct
4 Correct 8 ms 15572 KB Output is correct
5 Correct 7 ms 15572 KB Output is correct
6 Correct 8 ms 15584 KB Output is correct
7 Correct 10 ms 15544 KB Output is correct
8 Correct 9 ms 15572 KB Output is correct
9 Correct 8 ms 15572 KB Output is correct
10 Correct 7 ms 15572 KB Output is correct
11 Correct 7 ms 15572 KB Output is correct
12 Correct 7 ms 15616 KB Output is correct
13 Correct 8 ms 15572 KB Output is correct
14 Correct 9 ms 15612 KB Output is correct
15 Correct 8 ms 15572 KB Output is correct
16 Correct 8 ms 15632 KB Output is correct
17 Correct 7 ms 15572 KB Output is correct
18 Correct 8 ms 15616 KB Output is correct
19 Correct 7 ms 15620 KB Output is correct
20 Correct 8 ms 15700 KB Output is correct
21 Correct 8 ms 15512 KB Output is correct
22 Correct 11 ms 16340 KB Output is correct
23 Correct 12 ms 16336 KB Output is correct
24 Correct 11 ms 16212 KB Output is correct
25 Correct 11 ms 16276 KB Output is correct
26 Correct 11 ms 16212 KB Output is correct
27 Correct 11 ms 16212 KB Output is correct
28 Correct 11 ms 16272 KB Output is correct
29 Correct 11 ms 16212 KB Output is correct
30 Correct 11 ms 16352 KB Output is correct
31 Correct 10 ms 16340 KB Output is correct
32 Correct 10 ms 16340 KB Output is correct
33 Correct 11 ms 16488 KB Output is correct
34 Correct 10 ms 16272 KB Output is correct
35 Correct 10 ms 16260 KB Output is correct
36 Correct 9 ms 16264 KB Output is correct
37 Correct 9 ms 16212 KB Output is correct
38 Correct 9 ms 16340 KB Output is correct
39 Correct 437 ms 52196 KB Output is correct
40 Correct 369 ms 51428 KB Output is correct
41 Correct 358 ms 52072 KB Output is correct
42 Correct 395 ms 52704 KB Output is correct
43 Correct 409 ms 52732 KB Output is correct
44 Correct 382 ms 52368 KB Output is correct
45 Correct 422 ms 54912 KB Output is correct
46 Correct 358 ms 58200 KB Output is correct
47 Correct 260 ms 48000 KB Output is correct
48 Correct 235 ms 48420 KB Output is correct
49 Correct 326 ms 51524 KB Output is correct
50 Correct 249 ms 51248 KB Output is correct
51 Correct 345 ms 58104 KB Output is correct