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Submission #724978

# Submission time Handle Problem Language Result Execution time Memory
724978 2023-04-16T12:06:51 Z piOOE Meetings 2 (JOI21_meetings2) C++17
100 / 100
 271 ms 59348 KB 
#include <bits/stdc++.h>

using namespace std;
using ll = long long;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int n;
    cin >> n;

    vector<vector<int>> adj(n);
    vector<int> parent(n), siz(n), depth(n);

    for (int i = 1; i < n; ++i) {
        int a, b;
        cin >> a >> b;
        a -= 1, b -= 1;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }

    auto hld = [&](auto self, int v) -> void {
        siz[v] = 1;
        for (int &to : adj[v]) {
            adj[to].erase(find(adj[to].begin(), adj[to].end(), v));
            depth[to] = depth[v] + 1;
            self(self, to);

            siz[v] += siz[to];
            if (siz[to] > siz[adj[v][0]]) {
                swap(to, adj[v][0]);
            }
        }
    };

    hld(hld, 0);

    vector<map<int, int>> st(n);

    auto insert = [&](map<int, int> &mp, int x, int y) -> void {
        auto it = mp.lower_bound(x);
        if (it != mp.end() && it->second >= y) {
            return;
        }

        mp[x] = y;

        while (true) {
            it = mp.lower_bound(x);
            if (it == mp.begin() || prev(it)->second > y) {
                break;
            }
            mp.erase(prev(it));
        }
    };

    constexpr int inf = 1e8 + 7;

    auto query = [&](map<int, int> &mp, int x) {
        auto it = mp.lower_bound(x);
        return it == mp.end() ? -inf : it->second;
    };

    vector<int> best(n + 1);

    auto dfs = [&](auto self, int v) -> void {
        if (adj[v].empty()) {
            insert(st[v], 1, depth[v]);
            return;
        }

        for (int to : adj[v]) {
            self(self, to);
        }

        int x = adj[v][0];
        int now = min(siz[x], n - siz[x]);
        int nxt = min(siz[x], n - siz[v]);

        for (int s = now; s > nxt; --s) {
            int d = query(st[x], s);
            best[min(s, n - siz[x])] = max(best[min(s, n - siz[x])], d - depth[v] + 1);
        }

        swap(st[v], st[x]);

        for (int to : adj[v]) {
            if (to == x) {
                continue;
            }
            for (int s = 1; s <= siz[to]; ++s) {
                int d = query(st[to], s);
                best[s] = max(best[s], d + query(st[v], s) - depth[v] * 2 + 1);
                best[min(s, n - siz[to])] = max(best[min(s, n - siz[to])], d - depth[v] + 1);
            }
            for (auto [a, b] : st[to]) {
                insert(st[v], a, b);
            }
            st[to].clear();
        }

        insert(st[v], siz[v], depth[v]);
    };

    dfs(dfs, 0);

    vector<int> ans(n + 1, 1);

    for (int i = 1; i <= n / 2; ++i) {
        ans[i * 2] = max(1, best[i]);
    }

    for (int i = 1; i <= n; ++i) {
        cout << ans[i] << "\n";
    }

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 248 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct

Subtask #2
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 248 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 3 ms 724 KB Output is correct
23 Correct 3 ms 724 KB Output is correct
24 Correct 2 ms 724 KB Output is correct
25 Correct 3 ms 724 KB Output is correct
26 Correct 3 ms 724 KB Output is correct
27 Correct 3 ms 724 KB Output is correct
28 Correct 3 ms 828 KB Output is correct
29 Correct 3 ms 724 KB Output is correct
30 Correct 3 ms 724 KB Output is correct
31 Correct 3 ms 724 KB Output is correct
32 Correct 3 ms 1108 KB Output is correct
33 Correct 4 ms 1448 KB Output is correct
34 Correct 2 ms 980 KB Output is correct
35 Correct 2 ms 980 KB Output is correct
36 Correct 2 ms 852 KB Output is correct
37 Correct 3 ms 852 KB Output is correct
38 Correct 3 ms 1108 KB Output is correct

Subtask #3
80.0 / 80.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 248 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 3 ms 724 KB Output is correct
23 Correct 3 ms 724 KB Output is correct
24 Correct 2 ms 724 KB Output is correct
25 Correct 3 ms 724 KB Output is correct
26 Correct 3 ms 724 KB Output is correct
27 Correct 3 ms 724 KB Output is correct
28 Correct 3 ms 828 KB Output is correct
29 Correct 3 ms 724 KB Output is correct
30 Correct 3 ms 724 KB Output is correct
31 Correct 3 ms 724 KB Output is correct
32 Correct 3 ms 1108 KB Output is correct
33 Correct 4 ms 1448 KB Output is correct
34 Correct 2 ms 980 KB Output is correct
35 Correct 2 ms 980 KB Output is correct
36 Correct 2 ms 852 KB Output is correct
37 Correct 3 ms 852 KB Output is correct
38 Correct 3 ms 1108 KB Output is correct
39 Correct 197 ms 24780 KB Output is correct
40 Correct 187 ms 24252 KB Output is correct
41 Correct 177 ms 24800 KB Output is correct
42 Correct 204 ms 25164 KB Output is correct
43 Correct 196 ms 25220 KB Output is correct
44 Correct 194 ms 25212 KB Output is correct
45 Correct 229 ms 41428 KB Output is correct
46 Correct 271 ms 59348 KB Output is correct
47 Correct 179 ms 36084 KB Output is correct
48 Correct 148 ms 36808 KB Output is correct
49 Correct 180 ms 28560 KB Output is correct
50 Correct 145 ms 32196 KB Output is correct
51 Correct 222 ms 52400 KB Output is correct