Submission #1109369

# Submission time Handle Problem Language Result Execution time Memory
1109369 2024-11-06T15:06:11 Z mnbvcxz123 Capital City (JOI20_capital_city) C++17
100 / 100
285 ms 38920 KB
#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;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12880 KB Output is correct
2 Correct 3 ms 12880 KB Output is correct
3 Correct 3 ms 12880 KB Output is correct
4 Correct 3 ms 12880 KB Output is correct
5 Correct 3 ms 13136 KB Output is correct
6 Correct 3 ms 12956 KB Output is correct
7 Correct 3 ms 12880 KB Output is correct
8 Correct 4 ms 12952 KB Output is correct
9 Correct 3 ms 12948 KB Output is correct
10 Correct 4 ms 12952 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12880 KB Output is correct
2 Correct 3 ms 12880 KB Output is correct
3 Correct 3 ms 12880 KB Output is correct
4 Correct 3 ms 12880 KB Output is correct
5 Correct 3 ms 13136 KB Output is correct
6 Correct 3 ms 12956 KB Output is correct
7 Correct 3 ms 12880 KB Output is correct
8 Correct 4 ms 12952 KB Output is correct
9 Correct 3 ms 12948 KB Output is correct
10 Correct 4 ms 12952 KB Output is correct
11 Correct 5 ms 13004 KB Output is correct
12 Correct 3 ms 12880 KB Output is correct
13 Correct 4 ms 12880 KB Output is correct
14 Correct 4 ms 12880 KB Output is correct
15 Correct 4 ms 12880 KB Output is correct
16 Correct 5 ms 12880 KB Output is correct
17 Correct 3 ms 13064 KB Output is correct
18 Correct 4 ms 12880 KB Output is correct
19 Correct 3 ms 13136 KB Output is correct
20 Correct 5 ms 13036 KB Output is correct
21 Correct 5 ms 13136 KB Output is correct
22 Correct 3 ms 13136 KB Output is correct
23 Correct 5 ms 13136 KB Output is correct
24 Correct 4 ms 12880 KB Output is correct
25 Correct 4 ms 13152 KB Output is correct
26 Correct 4 ms 13136 KB Output is correct
27 Correct 5 ms 13136 KB Output is correct
28 Correct 4 ms 13136 KB Output is correct
29 Correct 4 ms 12880 KB Output is correct
30 Correct 4 ms 12880 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 285 ms 38528 KB Output is correct
2 Correct 153 ms 38728 KB Output is correct
3 Correct 278 ms 38216 KB Output is correct
4 Correct 160 ms 38728 KB Output is correct
5 Correct 266 ms 35880 KB Output is correct
6 Correct 135 ms 38920 KB Output is correct
7 Correct 240 ms 36172 KB Output is correct
8 Correct 149 ms 38516 KB Output is correct
9 Correct 259 ms 34632 KB Output is correct
10 Correct 262 ms 32584 KB Output is correct
11 Correct 264 ms 34888 KB Output is correct
12 Correct 260 ms 37156 KB Output is correct
13 Correct 257 ms 32344 KB Output is correct
14 Correct 276 ms 37192 KB Output is correct
15 Correct 269 ms 37024 KB Output is correct
16 Correct 250 ms 33148 KB Output is correct
17 Correct 248 ms 33404 KB Output is correct
18 Correct 266 ms 33608 KB Output is correct
19 Correct 253 ms 36224 KB Output is correct
20 Correct 259 ms 37960 KB Output is correct
21 Correct 2 ms 12880 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 12880 KB Output is correct
2 Correct 3 ms 12880 KB Output is correct
3 Correct 3 ms 12880 KB Output is correct
4 Correct 3 ms 12880 KB Output is correct
5 Correct 3 ms 13136 KB Output is correct
6 Correct 3 ms 12956 KB Output is correct
7 Correct 3 ms 12880 KB Output is correct
8 Correct 4 ms 12952 KB Output is correct
9 Correct 3 ms 12948 KB Output is correct
10 Correct 4 ms 12952 KB Output is correct
11 Correct 5 ms 13004 KB Output is correct
12 Correct 3 ms 12880 KB Output is correct
13 Correct 4 ms 12880 KB Output is correct
14 Correct 4 ms 12880 KB Output is correct
15 Correct 4 ms 12880 KB Output is correct
16 Correct 5 ms 12880 KB Output is correct
17 Correct 3 ms 13064 KB Output is correct
18 Correct 4 ms 12880 KB Output is correct
19 Correct 3 ms 13136 KB Output is correct
20 Correct 5 ms 13036 KB Output is correct
21 Correct 5 ms 13136 KB Output is correct
22 Correct 3 ms 13136 KB Output is correct
23 Correct 5 ms 13136 KB Output is correct
24 Correct 4 ms 12880 KB Output is correct
25 Correct 4 ms 13152 KB Output is correct
26 Correct 4 ms 13136 KB Output is correct
27 Correct 5 ms 13136 KB Output is correct
28 Correct 4 ms 13136 KB Output is correct
29 Correct 4 ms 12880 KB Output is correct
30 Correct 4 ms 12880 KB Output is correct
31 Correct 285 ms 38528 KB Output is correct
32 Correct 153 ms 38728 KB Output is correct
33 Correct 278 ms 38216 KB Output is correct
34 Correct 160 ms 38728 KB Output is correct
35 Correct 266 ms 35880 KB Output is correct
36 Correct 135 ms 38920 KB Output is correct
37 Correct 240 ms 36172 KB Output is correct
38 Correct 149 ms 38516 KB Output is correct
39 Correct 259 ms 34632 KB Output is correct
40 Correct 262 ms 32584 KB Output is correct
41 Correct 264 ms 34888 KB Output is correct
42 Correct 260 ms 37156 KB Output is correct
43 Correct 257 ms 32344 KB Output is correct
44 Correct 276 ms 37192 KB Output is correct
45 Correct 269 ms 37024 KB Output is correct
46 Correct 250 ms 33148 KB Output is correct
47 Correct 248 ms 33404 KB Output is correct
48 Correct 266 ms 33608 KB Output is correct
49 Correct 253 ms 36224 KB Output is correct
50 Correct 259 ms 37960 KB Output is correct
51 Correct 2 ms 12880 KB Output is correct
52 Correct 148 ms 25416 KB Output is correct
53 Correct 164 ms 25236 KB Output is correct
54 Correct 170 ms 25416 KB Output is correct
55 Correct 175 ms 25356 KB Output is correct
56 Correct 181 ms 25424 KB Output is correct
57 Correct 217 ms 25188 KB Output is correct
58 Correct 162 ms 28000 KB Output is correct
59 Correct 164 ms 28240 KB Output is correct
60 Correct 195 ms 27568 KB Output is correct
61 Correct 193 ms 27464 KB Output is correct
62 Correct 140 ms 38872 KB Output is correct
63 Correct 137 ms 38744 KB Output is correct
64 Correct 149 ms 38728 KB Output is correct
65 Correct 128 ms 38704 KB Output is correct
66 Correct 148 ms 32192 KB Output is correct
67 Correct 158 ms 32104 KB Output is correct
68 Correct 150 ms 32120 KB Output is correct
69 Correct 159 ms 32276 KB Output is correct
70 Correct 140 ms 32196 KB Output is correct
71 Correct 190 ms 32192 KB Output is correct
72 Correct 148 ms 32192 KB Output is correct
73 Correct 152 ms 31424 KB Output is correct
74 Correct 143 ms 32336 KB Output is correct
75 Correct 160 ms 32228 KB Output is correct
76 Correct 214 ms 30792 KB Output is correct
77 Correct 209 ms 29256 KB Output is correct
78 Correct 258 ms 33528 KB Output is correct
79 Correct 250 ms 31820 KB Output is correct
80 Correct 251 ms 37452 KB Output is correct
81 Correct 255 ms 34632 KB Output is correct
82 Correct 262 ms 34888 KB Output is correct
83 Correct 246 ms 32072 KB Output is correct
84 Correct 258 ms 36680 KB Output is correct
85 Correct 266 ms 35688 KB Output is correct
86 Correct 250 ms 31896 KB Output is correct
87 Correct 268 ms 33172 KB Output is correct
88 Correct 240 ms 34120 KB Output is correct
89 Correct 214 ms 30964 KB Output is correct
90 Correct 220 ms 30792 KB Output is correct
91 Correct 246 ms 32764 KB Output is correct
92 Correct 219 ms 31560 KB Output is correct
93 Correct 239 ms 31540 KB Output is correct
94 Correct 225 ms 30792 KB Output is correct
95 Correct 232 ms 32176 KB Output is correct
96 Correct 222 ms 30848 KB Output is correct
97 Correct 234 ms 32584 KB Output is correct