oj.uz

Submission #985234

# Submission time Handle Problem Language Result Execution time Memory
985234 2024-05-17T13:34:10 Z alextodoran Capital City (JOI20_capital_city) C++17
41 / 100
 373 ms 42464 KB 
/**
 _  _   __  _ _ _  _  _ _
 |a  ||t  ||o    d | |o  |
| __    _| | _ | __|  _ |
| __ |/_  | __  /__\ / _\|

**/

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N_MAX = 200000;

int N, K;
vector <int> adj[N_MAX + 2];
int C[N_MAX + 2];

bool erased[N_MAX + 2];

vector <int> nodes;
int parent[N_MAX + 2];
int sub[N_MAX + 2];
bool in_comp[N_MAX + 2];

vector <int> with_color[N_MAX + 2];

void dfs (int u, bool first) {
    if (first == true) {
        nodes.push_back(u);
        in_comp[u] = true;
    }
    sub[u] = 1;
    for (int v : adj[u]) {
        if (v != parent[u] && erased[v] == false) {
            parent[v] = u;
            dfs(v, first);
            sub[u] += sub[v];
        }
    }
}

int answer = INT_MAX;
bool seen[N_MAX + 2];
bool cleared[N_MAX + 2];

void solve (int root) {
    parent[root] = 0; dfs(root, true);
    int centroid = 0;
    for (int u : nodes) {
        if (sub[root] - sub[u] > (int) nodes.size() / 2) {
            continue;
        }
        bool ok = true;
        for (int v : adj[u]) {
            if (v != parent[u] && erased[v] == false && sub[v] > (int) nodes.size() / 2) {
                ok = false;
                break;
            }
        }
        if (ok == true) {
            centroid = u;
            break;
        }
    }
    root = centroid;
    parent[root] = 0; dfs(root, false);
    queue <int> q;
    q.push(C[root]);
    cleared[C[root]] = true;
    int merges = 0;
    while (q.empty() == false) {
        int c = q.front(); q.pop();
        for (int u : with_color[c]) {
            if (in_comp[u] == false) {
                merges = INT_MAX;
                break;
            }
            while (u != 0 && seen[u] == false) {
                if (cleared[C[u]] == false) {
                    cleared[C[u]] = true;
                    q.push(C[u]);
                    merges++;
                }
                seen[u] = true;
                u = parent[u];
            }
        }
    }
    answer = min(answer, merges);
    for (int u : nodes) {
        in_comp[u] = false;
        seen[u] = false;
        cleared[C[u]] = false;
    }
    nodes.clear();
    erased[root] = true;
    for (int u : adj[root]) {
        if (erased[u] == false) {
            solve(u);
        }
    }
}

int main () {
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    cin >> N >> K;
    for (int i = 1; i <= N - 1; i++) {
        int u, v;
        cin >> u >> v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    for (int u = 1; u <= N; u++) {
        cin >> C[u];
        with_color[C[u]].push_back(u);
    }
    solve(1);
    cout << answer << "\n";

    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12636 KB Output is correct
2 Correct 3 ms 12636 KB Output is correct
3 Correct 3 ms 12636 KB Output is correct
4 Correct 3 ms 12636 KB Output is correct
5 Correct 2 ms 12804 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 3 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 2 ms 12636 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12636 KB Output is correct
2 Correct 3 ms 12636 KB Output is correct
3 Correct 3 ms 12636 KB Output is correct
4 Correct 3 ms 12636 KB Output is correct
5 Correct 2 ms 12804 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 3 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 2 ms 12636 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 4 ms 12888 KB Output is correct
12 Correct 4 ms 12892 KB Output is correct
13 Correct 4 ms 12892 KB Output is correct
14 Correct 5 ms 12892 KB Output is correct
15 Correct 3 ms 12892 KB Output is correct
16 Correct 4 ms 12892 KB Output is correct
17 Correct 3 ms 12892 KB Output is correct
18 Correct 3 ms 12892 KB Output is correct
19 Correct 3 ms 12892 KB Output is correct
20 Correct 3 ms 12892 KB Output is correct
21 Correct 3 ms 12892 KB Output is correct
22 Correct 3 ms 12892 KB Output is correct
23 Correct 4 ms 12888 KB Output is correct
24 Correct 4 ms 12892 KB Output is correct
25 Correct 4 ms 12892 KB Output is correct
26 Correct 4 ms 12892 KB Output is correct
27 Correct 4 ms 12892 KB Output is correct
28 Correct 4 ms 12892 KB Output is correct
29 Correct 4 ms 12888 KB Output is correct
30 Correct 4 ms 12892 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 331 ms 41912 KB Output is correct
2 Correct 154 ms 42444 KB Output is correct
3 Correct 319 ms 41676 KB Output is correct
4 Correct 149 ms 42312 KB Output is correct
5 Correct 308 ms 38568 KB Output is correct
6 Correct 150 ms 42464 KB Output is correct
7 Correct 281 ms 39056 KB Output is correct
8 Correct 148 ms 42184 KB Output is correct
9 Correct 366 ms 37148 KB Output is correct
10 Correct 341 ms 34760 KB Output is correct
11 Correct 355 ms 37616 KB Output is correct
12 Correct 350 ms 40104 KB Output is correct
13 Correct 353 ms 34504 KB Output is correct
14 Correct 351 ms 40716 KB Output is correct
15 Correct 334 ms 40200 KB Output is correct
16 Correct 347 ms 35464 KB Output is correct
17 Correct 330 ms 35780 KB Output is correct
18 Correct 337 ms 36036 KB Output is correct
19 Correct 373 ms 39064 KB Output is correct
20 Correct 344 ms 41388 KB Output is correct
21 Correct 2 ms 12636 KB Output is correct

Subtask #4
0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12636 KB Output is correct
2 Correct 3 ms 12636 KB Output is correct
3 Correct 3 ms 12636 KB Output is correct
4 Correct 3 ms 12636 KB Output is correct
5 Correct 2 ms 12804 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 3 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 2 ms 12636 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 4 ms 12888 KB Output is correct
12 Correct 4 ms 12892 KB Output is correct
13 Correct 4 ms 12892 KB Output is correct
14 Correct 5 ms 12892 KB Output is correct
15 Correct 3 ms 12892 KB Output is correct
16 Correct 4 ms 12892 KB Output is correct
17 Correct 3 ms 12892 KB Output is correct
18 Correct 3 ms 12892 KB Output is correct
19 Correct 3 ms 12892 KB Output is correct
20 Correct 3 ms 12892 KB Output is correct
21 Correct 3 ms 12892 KB Output is correct
22 Correct 3 ms 12892 KB Output is correct
23 Correct 4 ms 12888 KB Output is correct
24 Correct 4 ms 12892 KB Output is correct
25 Correct 4 ms 12892 KB Output is correct
26 Correct 4 ms 12892 KB Output is correct
27 Correct 4 ms 12892 KB Output is correct
28 Correct 4 ms 12892 KB Output is correct
29 Correct 4 ms 12888 KB Output is correct
30 Correct 4 ms 12892 KB Output is correct
31 Correct 331 ms 41912 KB Output is correct
32 Correct 154 ms 42444 KB Output is correct
33 Correct 319 ms 41676 KB Output is correct
34 Correct 149 ms 42312 KB Output is correct
35 Correct 308 ms 38568 KB Output is correct
36 Correct 150 ms 42464 KB Output is correct
37 Correct 281 ms 39056 KB Output is correct
38 Correct 148 ms 42184 KB Output is correct
39 Correct 366 ms 37148 KB Output is correct
40 Correct 341 ms 34760 KB Output is correct
41 Correct 355 ms 37616 KB Output is correct
42 Correct 350 ms 40104 KB Output is correct
43 Correct 353 ms 34504 KB Output is correct
44 Correct 351 ms 40716 KB Output is correct
45 Correct 334 ms 40200 KB Output is correct
46 Correct 347 ms 35464 KB Output is correct
47 Correct 330 ms 35780 KB Output is correct
48 Correct 337 ms 36036 KB Output is correct
49 Correct 373 ms 39064 KB Output is correct
50 Correct 344 ms 41388 KB Output is correct
51 Correct 2 ms 12636 KB Output is correct
52 Correct 226 ms 25296 KB Output is correct
53 Correct 232 ms 25452 KB Output is correct
54 Correct 216 ms 25292 KB Output is correct
55 Correct 252 ms 25296 KB Output is correct
56 Correct 221 ms 25420 KB Output is correct
57 Correct 232 ms 25404 KB Output is correct
58 Correct 254 ms 28916 KB Output is correct
59 Correct 213 ms 29416 KB Output is correct
60 Correct 269 ms 28652 KB Output is correct
61 Incorrect 266 ms 28336 KB Output isn't correct
62 Halted 0 ms 0 KB -