Submission #1104985

# Submission time Handle Problem Language Result Execution time Memory
1104985 2024-10-25T03:35:17 Z hiensumi Capital City (JOI20_capital_city) C++14
100 / 100
293 ms 35216 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;
}
# Verdict Execution time Memory Grader output
1 Correct 2 ms 12880 KB Output is correct
2 Correct 3 ms 12880 KB Output is correct
3 Correct 2 ms 12880 KB Output is correct
4 Correct 2 ms 12880 KB Output is correct
5 Correct 2 ms 12916 KB Output is correct
6 Correct 3 ms 12880 KB Output is correct
7 Correct 2 ms 12880 KB Output is correct
8 Correct 3 ms 12880 KB Output is correct
9 Correct 3 ms 12880 KB Output is correct
10 Correct 2 ms 12952 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 12880 KB Output is correct
2 Correct 3 ms 12880 KB Output is correct
3 Correct 2 ms 12880 KB Output is correct
4 Correct 2 ms 12880 KB Output is correct
5 Correct 2 ms 12916 KB Output is correct
6 Correct 3 ms 12880 KB Output is correct
7 Correct 2 ms 12880 KB Output is correct
8 Correct 3 ms 12880 KB Output is correct
9 Correct 3 ms 12880 KB Output is correct
10 Correct 2 ms 12952 KB Output is correct
11 Correct 4 ms 12880 KB Output is correct
12 Correct 3 ms 12880 KB Output is correct
13 Correct 3 ms 12880 KB Output is correct
14 Correct 3 ms 12880 KB Output is correct
15 Correct 3 ms 13052 KB Output is correct
16 Correct 4 ms 12880 KB Output is correct
17 Correct 4 ms 12880 KB Output is correct
18 Correct 3 ms 12880 KB Output is correct
19 Correct 3 ms 12888 KB Output is correct
20 Correct 3 ms 12880 KB Output is correct
21 Correct 4 ms 12880 KB Output is correct
22 Correct 3 ms 13136 KB Output is correct
23 Correct 4 ms 12880 KB Output is correct
24 Correct 4 ms 13084 KB Output is correct
25 Correct 4 ms 12880 KB Output is correct
26 Correct 4 ms 13136 KB Output is correct
27 Correct 4 ms 12880 KB Output is correct
28 Correct 4 ms 13116 KB Output is correct
29 Correct 4 ms 12880 KB Output is correct
30 Correct 6 ms 12880 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 289 ms 34640 KB Output is correct
2 Correct 139 ms 35144 KB Output is correct
3 Correct 225 ms 34440 KB Output is correct
4 Correct 125 ms 35144 KB Output is correct
5 Correct 227 ms 32020 KB Output is correct
6 Correct 122 ms 35144 KB Output is correct
7 Correct 254 ms 32404 KB Output is correct
8 Correct 133 ms 35012 KB Output is correct
9 Correct 292 ms 31088 KB Output is correct
10 Correct 293 ms 29064 KB Output is correct
11 Correct 276 ms 31392 KB Output is correct
12 Correct 248 ms 33252 KB Output is correct
13 Correct 241 ms 28676 KB Output is correct
14 Correct 261 ms 33788 KB Output is correct
15 Correct 254 ms 33352 KB Output is correct
16 Correct 266 ms 29500 KB Output is correct
17 Correct 290 ms 29768 KB Output is correct
18 Correct 237 ms 30024 KB Output is correct
19 Correct 242 ms 32568 KB Output is correct
20 Correct 264 ms 34376 KB Output is correct
21 Correct 3 ms 12880 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 12880 KB Output is correct
2 Correct 3 ms 12880 KB Output is correct
3 Correct 2 ms 12880 KB Output is correct
4 Correct 2 ms 12880 KB Output is correct
5 Correct 2 ms 12916 KB Output is correct
6 Correct 3 ms 12880 KB Output is correct
7 Correct 2 ms 12880 KB Output is correct
8 Correct 3 ms 12880 KB Output is correct
9 Correct 3 ms 12880 KB Output is correct
10 Correct 2 ms 12952 KB Output is correct
11 Correct 4 ms 12880 KB Output is correct
12 Correct 3 ms 12880 KB Output is correct
13 Correct 3 ms 12880 KB Output is correct
14 Correct 3 ms 12880 KB Output is correct
15 Correct 3 ms 13052 KB Output is correct
16 Correct 4 ms 12880 KB Output is correct
17 Correct 4 ms 12880 KB Output is correct
18 Correct 3 ms 12880 KB Output is correct
19 Correct 3 ms 12888 KB Output is correct
20 Correct 3 ms 12880 KB Output is correct
21 Correct 4 ms 12880 KB Output is correct
22 Correct 3 ms 13136 KB Output is correct
23 Correct 4 ms 12880 KB Output is correct
24 Correct 4 ms 13084 KB Output is correct
25 Correct 4 ms 12880 KB Output is correct
26 Correct 4 ms 13136 KB Output is correct
27 Correct 4 ms 12880 KB Output is correct
28 Correct 4 ms 13116 KB Output is correct
29 Correct 4 ms 12880 KB Output is correct
30 Correct 6 ms 12880 KB Output is correct
31 Correct 289 ms 34640 KB Output is correct
32 Correct 139 ms 35144 KB Output is correct
33 Correct 225 ms 34440 KB Output is correct
34 Correct 125 ms 35144 KB Output is correct
35 Correct 227 ms 32020 KB Output is correct
36 Correct 122 ms 35144 KB Output is correct
37 Correct 254 ms 32404 KB Output is correct
38 Correct 133 ms 35012 KB Output is correct
39 Correct 292 ms 31088 KB Output is correct
40 Correct 293 ms 29064 KB Output is correct
41 Correct 276 ms 31392 KB Output is correct
42 Correct 248 ms 33252 KB Output is correct
43 Correct 241 ms 28676 KB Output is correct
44 Correct 261 ms 33788 KB Output is correct
45 Correct 254 ms 33352 KB Output is correct
46 Correct 266 ms 29500 KB Output is correct
47 Correct 290 ms 29768 KB Output is correct
48 Correct 237 ms 30024 KB Output is correct
49 Correct 242 ms 32568 KB Output is correct
50 Correct 264 ms 34376 KB Output is correct
51 Correct 3 ms 12880 KB Output is correct
52 Correct 160 ms 21976 KB Output is correct
53 Correct 175 ms 21952 KB Output is correct
54 Correct 201 ms 21832 KB Output is correct
55 Correct 193 ms 21796 KB Output is correct
56 Correct 190 ms 21840 KB Output is correct
57 Correct 170 ms 21832 KB Output is correct
58 Correct 184 ms 24136 KB Output is correct
59 Correct 186 ms 24564 KB Output is correct
60 Correct 211 ms 23880 KB Output is correct
61 Correct 229 ms 23624 KB Output is correct
62 Correct 127 ms 35188 KB Output is correct
63 Correct 133 ms 35144 KB Output is correct
64 Correct 129 ms 34888 KB Output is correct
65 Correct 135 ms 35216 KB Output is correct
66 Correct 140 ms 28584 KB Output is correct
67 Correct 169 ms 28360 KB Output is correct
68 Correct 157 ms 28608 KB Output is correct
69 Correct 161 ms 28608 KB Output is correct
70 Correct 155 ms 28608 KB Output is correct
71 Correct 148 ms 28608 KB Output is correct
72 Correct 161 ms 28608 KB Output is correct
73 Correct 180 ms 27848 KB Output is correct
74 Correct 160 ms 28608 KB Output is correct
75 Correct 157 ms 28492 KB Output is correct
76 Correct 229 ms 27208 KB Output is correct
77 Correct 227 ms 25672 KB Output is correct
78 Correct 263 ms 29916 KB Output is correct
79 Correct 279 ms 28260 KB Output is correct
80 Correct 292 ms 34016 KB Output is correct
81 Correct 275 ms 31048 KB Output is correct
82 Correct 251 ms 31124 KB Output is correct
83 Correct 237 ms 28568 KB Output is correct
84 Correct 256 ms 33076 KB Output is correct
85 Correct 264 ms 31816 KB Output is correct
86 Correct 257 ms 28232 KB Output is correct
87 Correct 254 ms 29512 KB Output is correct
88 Correct 220 ms 30280 KB Output is correct
89 Correct 208 ms 27208 KB Output is correct
90 Correct 211 ms 27164 KB Output is correct
91 Correct 243 ms 29000 KB Output is correct
92 Correct 239 ms 27976 KB Output is correct
93 Correct 221 ms 27720 KB Output is correct
94 Correct 249 ms 27316 KB Output is correct
95 Correct 253 ms 28476 KB Output is correct
96 Correct 212 ms 27208 KB Output is correct
97 Correct 232 ms 29000 KB Output is correct