oj.uz

Submission #928347

# Submission time Handle Problem Language Result Execution time Memory
928347 2024-02-16T08:47:38 Z Amirreza_Fakhri Capital City (JOI20_capital_city) C++17
100 / 100
 374 ms 38904 KB 
// In the name of the God
#include <bits/stdc++.h>
#define ll long long
// #define int long long
#define pb push_back
#define F first
#define S second
#define mp make_pair
#define pii pair <int, int>
#define smin(x, y) (x) = min((x), (y))
#define smax(x, y) (x) = max((x), (y))
#define all(x) (x).begin(), (x).end()
using namespace std;

const int inf = 1e9+7;
const int mod = 998244353;
const int maxn = 2e5+5;

int n, k, c[maxn], sz[maxn], par[maxn], id[maxn];
bool mark[maxn], vis[maxn];
vector <int> adj[maxn], vec[maxn];
queue <int> q;

void dfs1(int v, int p) {
    sz[v] = 1;
    vis[c[v]] = 1;
    for (int u : adj[v]) {
        if (!mark[u] and u != p) {
            dfs1(u, v); sz[v] += sz[u];
        }
    }
}

void dfs2(int v, int p, int r) {
    par[v] = p, id[v] = r;
    for (int u : adj[v]) {
        if (!mark[u] and u != p) dfs2(u, v, r);
    }
}

int fcen(int v, int p, int s) {
    for (int u : adj[v]) {
        if (!mark[u] and u != p and sz[u]*2 > s) return fcen(u, v, s);
    }
    return v;
}

int cen(int v) {
    dfs1(v, v);
    v = fcen(v, v, sz[v]);
    dfs2(v, v, v); 
    int ans = 0;
    q.push(c[v]);
    while (q.size()) {
        int col = q.front(); q.pop();
        if (!vis[col]) continue;
        vis[col] = 0;
        for (int u : vec[col]) {
            if (id[u] != v) {
                ans = k; break;
            }
            q.push(c[par[u]]);
        }
        ans++;
    }
    mark[v] = 1;
    for (int u : adj[v]) {
        if (!mark[u]) smin(ans, cen(u));
    }
    return ans;
}

int32_t main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
    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 = 0; i < n; i++) {
        cin >> c[i]; vec[--c[i]].pb(i);
    }
    cout << cen(0)-1 << '\n';
    return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 3 ms 12892 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 2 ms 12892 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 2 ms 12888 KB Output is correct
10 Correct 2 ms 12892 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 3 ms 12892 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 2 ms 12892 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 2 ms 12888 KB Output is correct
10 Correct 2 ms 12892 KB Output is correct
11 Correct 3 ms 12888 KB Output is correct
12 Correct 5 ms 12892 KB Output is correct
13 Correct 3 ms 12888 KB Output is correct
14 Correct 4 ms 12888 KB Output is correct
15 Correct 3 ms 12892 KB Output is correct
16 Correct 3 ms 12892 KB Output is correct
17 Correct 3 ms 12892 KB Output is correct
18 Correct 3 ms 12888 KB Output is correct
19 Correct 3 ms 12888 KB Output is correct
20 Correct 4 ms 12888 KB Output is correct
21 Correct 3 ms 12888 KB Output is correct
22 Correct 4 ms 13148 KB Output is correct
23 Correct 3 ms 12892 KB Output is correct
24 Correct 4 ms 12888 KB Output is correct
25 Correct 5 ms 12892 KB Output is correct
26 Correct 4 ms 12984 KB Output is correct
27 Correct 4 ms 12888 KB Output is correct
28 Correct 4 ms 12892 KB Output is correct
29 Correct 4 ms 12892 KB Output is correct
30 Correct 3 ms 12892 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 330 ms 34864 KB Output is correct
2 Correct 128 ms 38740 KB Output is correct
3 Correct 345 ms 38276 KB Output is correct
4 Correct 134 ms 38740 KB Output is correct
5 Correct 289 ms 35812 KB Output is correct
6 Correct 128 ms 38904 KB Output is correct
7 Correct 318 ms 35920 KB Output is correct
8 Correct 127 ms 38464 KB Output is correct
9 Correct 330 ms 34644 KB Output is correct
10 Correct 295 ms 32668 KB Output is correct
11 Correct 315 ms 35232 KB Output is correct
12 Correct 345 ms 37132 KB Output is correct
13 Correct 356 ms 32504 KB Output is correct
14 Correct 355 ms 37456 KB Output is correct
15 Correct 370 ms 37304 KB Output is correct
16 Correct 317 ms 33092 KB Output is correct
17 Correct 367 ms 33620 KB Output is correct
18 Correct 318 ms 33548 KB Output is correct
19 Correct 326 ms 36436 KB Output is correct
20 Correct 374 ms 37980 KB Output is correct
21 Correct 3 ms 12888 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12888 KB Output is correct
2 Correct 2 ms 12892 KB Output is correct
3 Correct 3 ms 12892 KB Output is correct
4 Correct 2 ms 12892 KB Output is correct
5 Correct 2 ms 12892 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 2 ms 12888 KB Output is correct
10 Correct 2 ms 12892 KB Output is correct
11 Correct 3 ms 12888 KB Output is correct
12 Correct 5 ms 12892 KB Output is correct
13 Correct 3 ms 12888 KB Output is correct
14 Correct 4 ms 12888 KB Output is correct
15 Correct 3 ms 12892 KB Output is correct
16 Correct 3 ms 12892 KB Output is correct
17 Correct 3 ms 12892 KB Output is correct
18 Correct 3 ms 12888 KB Output is correct
19 Correct 3 ms 12888 KB Output is correct
20 Correct 4 ms 12888 KB Output is correct
21 Correct 3 ms 12888 KB Output is correct
22 Correct 4 ms 13148 KB Output is correct
23 Correct 3 ms 12892 KB Output is correct
24 Correct 4 ms 12888 KB Output is correct
25 Correct 5 ms 12892 KB Output is correct
26 Correct 4 ms 12984 KB Output is correct
27 Correct 4 ms 12888 KB Output is correct
28 Correct 4 ms 12892 KB Output is correct
29 Correct 4 ms 12892 KB Output is correct
30 Correct 3 ms 12892 KB Output is correct
31 Correct 330 ms 34864 KB Output is correct
32 Correct 128 ms 38740 KB Output is correct
33 Correct 345 ms 38276 KB Output is correct
34 Correct 134 ms 38740 KB Output is correct
35 Correct 289 ms 35812 KB Output is correct
36 Correct 128 ms 38904 KB Output is correct
37 Correct 318 ms 35920 KB Output is correct
38 Correct 127 ms 38464 KB Output is correct
39 Correct 330 ms 34644 KB Output is correct
40 Correct 295 ms 32668 KB Output is correct
41 Correct 315 ms 35232 KB Output is correct
42 Correct 345 ms 37132 KB Output is correct
43 Correct 356 ms 32504 KB Output is correct
44 Correct 355 ms 37456 KB Output is correct
45 Correct 370 ms 37304 KB Output is correct
46 Correct 317 ms 33092 KB Output is correct
47 Correct 367 ms 33620 KB Output is correct
48 Correct 318 ms 33548 KB Output is correct
49 Correct 326 ms 36436 KB Output is correct
50 Correct 374 ms 37980 KB Output is correct
51 Correct 3 ms 12888 KB Output is correct
52 Correct 198 ms 25244 KB Output is correct
53 Correct 284 ms 25332 KB Output is correct
54 Correct 226 ms 25428 KB Output is correct
55 Correct 199 ms 25408 KB Output is correct
56 Correct 209 ms 25172 KB Output is correct
57 Correct 267 ms 25476 KB Output is correct
58 Correct 207 ms 27976 KB Output is correct
59 Correct 210 ms 28244 KB Output is correct
60 Correct 238 ms 27896 KB Output is correct
61 Correct 289 ms 27508 KB Output is correct
62 Correct 127 ms 38716 KB Output is correct
63 Correct 139 ms 38740 KB Output is correct
64 Correct 130 ms 38752 KB Output is correct
65 Correct 151 ms 38824 KB Output is correct
66 Correct 193 ms 32452 KB Output is correct
67 Correct 170 ms 32116 KB Output is correct
68 Correct 172 ms 32200 KB Output is correct
69 Correct 189 ms 32380 KB Output is correct
70 Correct 191 ms 32200 KB Output is correct
71 Correct 156 ms 32204 KB Output is correct
72 Correct 169 ms 32204 KB Output is correct
73 Correct 190 ms 31648 KB Output is correct
74 Correct 172 ms 32196 KB Output is correct
75 Correct 166 ms 32336 KB Output is correct
76 Correct 241 ms 30780 KB Output is correct
77 Correct 228 ms 29348 KB Output is correct
78 Correct 324 ms 33500 KB Output is correct
79 Correct 305 ms 31820 KB Output is correct
80 Correct 315 ms 37716 KB Output is correct
81 Correct 321 ms 34640 KB Output is correct
82 Correct 305 ms 34896 KB Output is correct
83 Correct 350 ms 32436 KB Output is correct
84 Correct 298 ms 36688 KB Output is correct
85 Correct 337 ms 35632 KB Output is correct
86 Correct 304 ms 31824 KB Output is correct
87 Correct 316 ms 33360 KB Output is correct
88 Correct 248 ms 34132 KB Output is correct
89 Correct 345 ms 31060 KB Output is correct
90 Correct 303 ms 30952 KB Output is correct
91 Correct 305 ms 32848 KB Output is correct
92 Correct 263 ms 31576 KB Output is correct
93 Correct 266 ms 31316 KB Output is correct
94 Correct 274 ms 30984 KB Output is correct
95 Correct 328 ms 32132 KB Output is correct
96 Correct 265 ms 30976 KB Output is correct
97 Correct 246 ms 32508 KB Output is correct