oj.uz

Submission #945174

# Submission time Handle Problem Language Result Execution time Memory
945174 2024-03-13T13:32:40 Z ArashJafariyan Capital City (JOI20_capital_city) C++17
100 / 100
 473 ms 42072 KB 
#include <bits/stdc++.h>
using namespace std;

#ifdef DEBUG
#include "debug.h"
#else
#define debug(...) 0
#endif

#define pb push_back
#define i2 array<int, 2>
#define ll long long

const int N = 2e5 + 4;

int n, k, c[N], sz[N], root[N], par[N];
bool done[N], in[N];
vector<int> adj[N], V[N];
queue<int> q;

void fill_sz(int v, int p = 0) {
    sz[v] = 1;
    for (int u : adj[v]) {
        if (u != p && !done[u]) {
            fill_sz(u, v);
            sz[v] += sz[u];
        }
    }
}

int find_cen(int v, int siz, int p = 0) {
    for (int u : adj[v]) {
        if (!done[u] && u != p && sz[u] > siz / 2) {
            return find_cen(u, siz, v);
        }
    }
    return v;
}

void fill(int v, int p = 0) {
    in[c[v]] = 0;
    par[v] = p;
    root[v] = (p == 0 ? v : root[p]);
    for (int u : adj[v]) {
        if (u != p && !done[u]) {
            fill(u, v);
        }
    }
}

int dfs(int v = 1) {
    fill_sz(v);
    v = find_cen(v, sz[v]);
    fill(v);
    done[v] = true;
    q.push(c[v]);

    int ans = 0;
    while (q.size()) {
        int col = q.front();
        q.pop();
        
        if (in[col] == 1) {
            continue;
        }
        in[col] = 1;
        for (int u : V[col]) {
            if (root[u] != v) {
                ans = k;
                break;
            }
            if (par[u] != 0) {
                q.push(c[par[u]]);
            }    
        }
        ans++;
    }

    for (int u : adj[v]) {
        if (!done[u]) {
            ans = min(ans, dfs(u));
        }
    }
    return ans;
}

void solve() {
    cin >> n >> k;
    for (int i = 1; i < n; i++) {
        int v, u;
        cin >> v >> u;
        adj[v].pb(u);
        adj[u].pb(v);
    }
    for (int i = 1; i <= n; i++) {
        cin >> c[i];
        V[c[i]].pb(i);
    }
    cout << dfs() - 1;
}

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

    int t = 1;
    // cin >> t;
    while (t--) {
        solve();
    }

    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12888 KB Output is correct
2 Correct 3 ms 12892 KB Output is correct
3 Correct 3 ms 12952 KB Output is correct
4 Correct 3 ms 12888 KB Output is correct
5 Correct 2 ms 12940 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 12892 KB Output is correct
8 Correct 3 ms 12892 KB Output is correct
9 Correct 3 ms 12892 KB Output is correct
10 Correct 3 ms 12892 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12888 KB Output is correct
2 Correct 3 ms 12892 KB Output is correct
3 Correct 3 ms 12952 KB Output is correct
4 Correct 3 ms 12888 KB Output is correct
5 Correct 2 ms 12940 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 12892 KB Output is correct
8 Correct 3 ms 12892 KB Output is correct
9 Correct 3 ms 12892 KB Output is correct
10 Correct 3 ms 12892 KB Output is correct
11 Correct 4 ms 12892 KB Output is correct
12 Correct 3 ms 12892 KB Output is correct
13 Correct 4 ms 12888 KB Output is correct
14 Correct 4 ms 12888 KB Output is correct
15 Correct 4 ms 12960 KB Output is correct
16 Correct 3 ms 12892 KB Output is correct
17 Correct 3 ms 13044 KB Output is correct
18 Correct 4 ms 13140 KB Output is correct
19 Correct 3 ms 12888 KB Output is correct
20 Correct 5 ms 12888 KB Output is correct
21 Correct 3 ms 12888 KB Output is correct
22 Correct 3 ms 13148 KB Output is correct
23 Correct 3 ms 13148 KB Output is correct
24 Correct 4 ms 12892 KB Output is correct
25 Correct 4 ms 13152 KB Output is correct
26 Correct 4 ms 13148 KB Output is correct
27 Correct 4 ms 13144 KB Output is correct
28 Correct 4 ms 13148 KB Output is correct
29 Correct 4 ms 13144 KB Output is correct
30 Correct 3 ms 13028 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 313 ms 39940 KB Output is correct
2 Correct 151 ms 42064 KB Output is correct
3 Correct 320 ms 41128 KB Output is correct
4 Correct 141 ms 42064 KB Output is correct
5 Correct 283 ms 38480 KB Output is correct
6 Correct 182 ms 41812 KB Output is correct
7 Correct 303 ms 38572 KB Output is correct
8 Correct 141 ms 41672 KB Output is correct
9 Correct 339 ms 36904 KB Output is correct
10 Correct 368 ms 34388 KB Output is correct
11 Correct 473 ms 37436 KB Output is correct
12 Correct 427 ms 40020 KB Output is correct
13 Correct 380 ms 34088 KB Output is correct
14 Correct 377 ms 40384 KB Output is correct
15 Correct 374 ms 39976 KB Output is correct
16 Correct 364 ms 35028 KB Output is correct
17 Correct 416 ms 35548 KB Output is correct
18 Correct 421 ms 35756 KB Output is correct
19 Correct 393 ms 38860 KB Output is correct
20 Correct 411 ms 41216 KB Output is correct
21 Correct 3 ms 12892 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 12888 KB Output is correct
2 Correct 3 ms 12892 KB Output is correct
3 Correct 3 ms 12952 KB Output is correct
4 Correct 3 ms 12888 KB Output is correct
5 Correct 2 ms 12940 KB Output is correct
6 Correct 2 ms 12892 KB Output is correct
7 Correct 2 ms 12892 KB Output is correct
8 Correct 3 ms 12892 KB Output is correct
9 Correct 3 ms 12892 KB Output is correct
10 Correct 3 ms 12892 KB Output is correct
11 Correct 4 ms 12892 KB Output is correct
12 Correct 3 ms 12892 KB Output is correct
13 Correct 4 ms 12888 KB Output is correct
14 Correct 4 ms 12888 KB Output is correct
15 Correct 4 ms 12960 KB Output is correct
16 Correct 3 ms 12892 KB Output is correct
17 Correct 3 ms 13044 KB Output is correct
18 Correct 4 ms 13140 KB Output is correct
19 Correct 3 ms 12888 KB Output is correct
20 Correct 5 ms 12888 KB Output is correct
21 Correct 3 ms 12888 KB Output is correct
22 Correct 3 ms 13148 KB Output is correct
23 Correct 3 ms 13148 KB Output is correct
24 Correct 4 ms 12892 KB Output is correct
25 Correct 4 ms 13152 KB Output is correct
26 Correct 4 ms 13148 KB Output is correct
27 Correct 4 ms 13144 KB Output is correct
28 Correct 4 ms 13148 KB Output is correct
29 Correct 4 ms 13144 KB Output is correct
30 Correct 3 ms 13028 KB Output is correct
31 Correct 313 ms 39940 KB Output is correct
32 Correct 151 ms 42064 KB Output is correct
33 Correct 320 ms 41128 KB Output is correct
34 Correct 141 ms 42064 KB Output is correct
35 Correct 283 ms 38480 KB Output is correct
36 Correct 182 ms 41812 KB Output is correct
37 Correct 303 ms 38572 KB Output is correct
38 Correct 141 ms 41672 KB Output is correct
39 Correct 339 ms 36904 KB Output is correct
40 Correct 368 ms 34388 KB Output is correct
41 Correct 473 ms 37436 KB Output is correct
42 Correct 427 ms 40020 KB Output is correct
43 Correct 380 ms 34088 KB Output is correct
44 Correct 377 ms 40384 KB Output is correct
45 Correct 374 ms 39976 KB Output is correct
46 Correct 364 ms 35028 KB Output is correct
47 Correct 416 ms 35548 KB Output is correct
48 Correct 421 ms 35756 KB Output is correct
49 Correct 393 ms 38860 KB Output is correct
50 Correct 411 ms 41216 KB Output is correct
51 Correct 3 ms 12892 KB Output is correct
52 Correct 235 ms 25240 KB Output is correct
53 Correct 280 ms 25404 KB Output is correct
54 Correct 308 ms 25260 KB Output is correct
55 Correct 293 ms 25416 KB Output is correct
56 Correct 273 ms 25280 KB Output is correct
57 Correct 307 ms 25360 KB Output is correct
58 Correct 238 ms 28456 KB Output is correct
59 Correct 203 ms 28908 KB Output is correct
60 Correct 277 ms 28148 KB Output is correct
61 Correct 237 ms 27692 KB Output is correct
62 Correct 132 ms 42064 KB Output is correct
63 Correct 152 ms 41968 KB Output is correct
64 Correct 142 ms 42072 KB Output is correct
65 Correct 138 ms 42048 KB Output is correct
66 Correct 179 ms 33948 KB Output is correct
67 Correct 196 ms 33812 KB Output is correct
68 Correct 192 ms 33932 KB Output is correct
69 Correct 162 ms 33736 KB Output is correct
70 Correct 183 ms 33848 KB Output is correct
71 Correct 184 ms 33852 KB Output is correct
72 Correct 163 ms 33852 KB Output is correct
73 Correct 175 ms 32972 KB Output is correct
74 Correct 194 ms 33952 KB Output is correct
75 Correct 228 ms 33904 KB Output is correct
76 Correct 299 ms 32088 KB Output is correct
77 Correct 238 ms 30224 KB Output is correct
78 Correct 315 ms 35512 KB Output is correct
79 Correct 395 ms 33456 KB Output is correct
80 Correct 411 ms 40788 KB Output is correct
81 Correct 372 ms 36944 KB Output is correct
82 Correct 368 ms 37460 KB Output is correct
83 Correct 382 ms 33872 KB Output is correct
84 Correct 354 ms 39896 KB Output is correct
85 Correct 324 ms 38212 KB Output is correct
86 Correct 424 ms 33484 KB Output is correct
87 Correct 373 ms 35152 KB Output is correct
88 Correct 347 ms 36340 KB Output is correct
89 Correct 359 ms 32404 KB Output is correct
90 Correct 283 ms 32184 KB Output is correct
91 Correct 319 ms 34416 KB Output is correct
92 Correct 317 ms 33108 KB Output is correct
93 Correct 319 ms 33092 KB Output is correct
94 Correct 291 ms 32340 KB Output is correct
95 Correct 364 ms 33720 KB Output is correct
96 Correct 272 ms 32404 KB Output is correct
97 Correct 283 ms 34476 KB Output is correct