Submission #996727

# Submission time Handle Problem Language Result Execution time Memory
996727 2024-06-11T06:31:50 Z juliany2 Mergers (JOI19_mergers) C++17
100 / 100
643 ms 110804 KB
#include<bits/stdc++.h>
using namespace std;
using ll = long long;
#define all(x) (x).begin(), (x).end()
 
const int N = 5e5 + 7, L = 20;
int n, k;
vector<int> adj[N];
int c[N], dep[N];
int lift[N][L];
int l[N], cum[N];
int cnt, r;
bool seen[N];
 
void prep(int v = 1, int p = 0) {
    lift[v][0] = p;
    for (int i = 1; i < L; i++)
        lift[v][i] = lift[lift[v][i - 1]][i - 1];
 
    for (int u : adj[v]) {
        if (u == p)
            continue;
 
        dep[u] = dep[v] + 1;
        prep(u, v);
    }
}
 
int lca(int u, int v) {
    if (u == 0 || v == 0)
        return max(u, v);
 
    if (dep[u] > dep[v])
        swap(u, v);
 
    for (int i = 0; i < L; i++)
        if ((dep[v] - dep[u]) >> i & 1)
            v = lift[v][i];
 
    if (u == v)
        return u;
 
    for (int i = L - 1; i >= 0; i--)
        if (lift[v][i] != lift[u][i])
            v = lift[v][i], u = lift[u][i];
 
    return lift[u][0];
}
 
void run(int v = 1, int p = 0) {
    for (int u : adj[v]) {
        if (u == p)
            continue;
 
        run(u, v);
        cum[v] += cum[u];
    }
}
 
void dfs(int v = 1, int p = 0) {
    for (int u : adj[v]) {
        if (u == p)
            continue;
 
        dfs(u, v);
        seen[v] |= seen[u];
    }
 
    if (v != 1 && !cum[v] && !seen[v]) {
        cnt++;
        r = lca(r, v);
        seen[v] = 1;
    }
}
 
int main() {
    cin.tie(0)->sync_with_stdio(false);
 
    cin >> n >> k;
 
    for (int i = 1; i < n; i++) {
        int u, v;
        cin >> u >> v;
 
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
 
    prep();
 
    for (int i = 1; i <= n; i++) {
        cin >> c[i];
 
        l[c[i]] = lca(l[c[i]], i);
    }
 
    for (int i = 1; i <= n; i++)
        cum[i]++, cum[l[c[i]]]--;
 
    run();
 
    dfs();
 
    if (!r) {
        cout << 0 << '\n';
        return 0;
    }
 
    int need = 0;
    while (r != 1) {
        if (!cum[r])
            need = 1;
 
        r = lift[r][0];
    }
 
    cout << ((cnt | need) + 1) / 2 << '\n';
 
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 18268 KB Output is correct
2 Correct 3 ms 18268 KB Output is correct
3 Correct 3 ms 18268 KB Output is correct
4 Correct 3 ms 18268 KB Output is correct
5 Correct 3 ms 18268 KB Output is correct
6 Correct 3 ms 18264 KB Output is correct
7 Correct 3 ms 18268 KB Output is correct
8 Correct 3 ms 18268 KB Output is correct
9 Correct 3 ms 18368 KB Output is correct
10 Correct 3 ms 18268 KB Output is correct
11 Correct 3 ms 18268 KB Output is correct
12 Correct 3 ms 18268 KB Output is correct
13 Correct 3 ms 18432 KB Output is correct
14 Correct 4 ms 18268 KB Output is correct
15 Correct 4 ms 18360 KB Output is correct
16 Correct 3 ms 18268 KB Output is correct
17 Correct 3 ms 18264 KB Output is correct
18 Correct 3 ms 18372 KB Output is correct
19 Correct 3 ms 18268 KB Output is correct
20 Correct 3 ms 18268 KB Output is correct
21 Correct 3 ms 18268 KB Output is correct
22 Correct 3 ms 18424 KB Output is correct
23 Correct 3 ms 18268 KB Output is correct
24 Correct 3 ms 18268 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 18268 KB Output is correct
2 Correct 3 ms 18268 KB Output is correct
3 Correct 3 ms 18268 KB Output is correct
4 Correct 3 ms 18268 KB Output is correct
5 Correct 3 ms 18268 KB Output is correct
6 Correct 3 ms 18264 KB Output is correct
7 Correct 3 ms 18268 KB Output is correct
8 Correct 3 ms 18268 KB Output is correct
9 Correct 3 ms 18368 KB Output is correct
10 Correct 3 ms 18268 KB Output is correct
11 Correct 3 ms 18268 KB Output is correct
12 Correct 3 ms 18268 KB Output is correct
13 Correct 3 ms 18432 KB Output is correct
14 Correct 4 ms 18268 KB Output is correct
15 Correct 4 ms 18360 KB Output is correct
16 Correct 3 ms 18268 KB Output is correct
17 Correct 3 ms 18264 KB Output is correct
18 Correct 3 ms 18372 KB Output is correct
19 Correct 3 ms 18268 KB Output is correct
20 Correct 3 ms 18268 KB Output is correct
21 Correct 3 ms 18268 KB Output is correct
22 Correct 3 ms 18424 KB Output is correct
23 Correct 3 ms 18268 KB Output is correct
24 Correct 3 ms 18268 KB Output is correct
25 Correct 4 ms 18428 KB Output is correct
26 Correct 4 ms 18524 KB Output is correct
27 Correct 4 ms 18576 KB Output is correct
28 Correct 4 ms 18524 KB Output is correct
29 Correct 4 ms 18524 KB Output is correct
30 Correct 4 ms 18524 KB Output is correct
31 Correct 3 ms 18268 KB Output is correct
32 Correct 5 ms 18780 KB Output is correct
33 Correct 3 ms 18268 KB Output is correct
34 Correct 4 ms 18524 KB Output is correct
35 Correct 4 ms 18524 KB Output is correct
36 Correct 4 ms 18520 KB Output is correct
37 Correct 4 ms 18564 KB Output is correct
38 Correct 3 ms 18268 KB Output is correct
39 Correct 5 ms 18524 KB Output is correct
40 Correct 5 ms 18520 KB Output is correct
41 Correct 4 ms 18520 KB Output is correct
42 Correct 4 ms 18520 KB Output is correct
43 Correct 4 ms 18744 KB Output is correct
44 Correct 3 ms 18268 KB Output is correct
45 Correct 4 ms 18524 KB Output is correct
46 Correct 4 ms 18524 KB Output is correct
47 Correct 3 ms 18268 KB Output is correct
48 Correct 5 ms 18524 KB Output is correct
49 Correct 4 ms 18524 KB Output is correct
50 Correct 4 ms 18524 KB Output is correct
51 Correct 4 ms 18524 KB Output is correct
52 Correct 4 ms 18436 KB Output is correct
53 Correct 4 ms 18524 KB Output is correct
54 Correct 4 ms 18524 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 18268 KB Output is correct
2 Correct 3 ms 18268 KB Output is correct
3 Correct 3 ms 18268 KB Output is correct
4 Correct 3 ms 18268 KB Output is correct
5 Correct 3 ms 18268 KB Output is correct
6 Correct 3 ms 18264 KB Output is correct
7 Correct 3 ms 18268 KB Output is correct
8 Correct 3 ms 18268 KB Output is correct
9 Correct 3 ms 18368 KB Output is correct
10 Correct 3 ms 18268 KB Output is correct
11 Correct 3 ms 18268 KB Output is correct
12 Correct 3 ms 18268 KB Output is correct
13 Correct 3 ms 18432 KB Output is correct
14 Correct 4 ms 18268 KB Output is correct
15 Correct 4 ms 18360 KB Output is correct
16 Correct 3 ms 18268 KB Output is correct
17 Correct 3 ms 18264 KB Output is correct
18 Correct 3 ms 18372 KB Output is correct
19 Correct 3 ms 18268 KB Output is correct
20 Correct 3 ms 18268 KB Output is correct
21 Correct 3 ms 18268 KB Output is correct
22 Correct 3 ms 18424 KB Output is correct
23 Correct 3 ms 18268 KB Output is correct
24 Correct 3 ms 18268 KB Output is correct
25 Correct 5 ms 18268 KB Output is correct
26 Correct 35 ms 29900 KB Output is correct
27 Correct 46 ms 29520 KB Output is correct
28 Correct 4 ms 18524 KB Output is correct
29 Correct 3 ms 18352 KB Output is correct
30 Correct 3 ms 18268 KB Output is correct
31 Correct 51 ms 29616 KB Output is correct
32 Correct 4 ms 18520 KB Output is correct
33 Correct 72 ms 36868 KB Output is correct
34 Correct 43 ms 29532 KB Output is correct
35 Correct 4 ms 18524 KB Output is correct
36 Correct 59 ms 30424 KB Output is correct
37 Correct 4 ms 18520 KB Output is correct
38 Correct 4 ms 18520 KB Output is correct
39 Correct 43 ms 29924 KB Output is correct
40 Correct 5 ms 18780 KB Output is correct
41 Correct 44 ms 29576 KB Output is correct
42 Correct 61 ms 31828 KB Output is correct
43 Correct 3 ms 18264 KB Output is correct
44 Correct 66 ms 37132 KB Output is correct
45 Correct 62 ms 33360 KB Output is correct
46 Correct 4 ms 18524 KB Output is correct
47 Correct 5 ms 18524 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 37 ms 29900 KB Output is correct
2 Correct 33 ms 30668 KB Output is correct
3 Correct 4 ms 18524 KB Output is correct
4 Correct 4 ms 18436 KB Output is correct
5 Correct 3 ms 18264 KB Output is correct
6 Correct 3 ms 18268 KB Output is correct
7 Correct 4 ms 18524 KB Output is correct
8 Correct 48 ms 30036 KB Output is correct
9 Correct 4 ms 18524 KB Output is correct
10 Correct 44 ms 29632 KB Output is correct
11 Correct 3 ms 18268 KB Output is correct
12 Correct 50 ms 29812 KB Output is correct
13 Correct 57 ms 30032 KB Output is correct
14 Correct 43 ms 30356 KB Output is correct
15 Correct 31 ms 29780 KB Output is correct
16 Correct 4 ms 18632 KB Output is correct
17 Correct 3 ms 18268 KB Output is correct
18 Correct 38 ms 30540 KB Output is correct
19 Correct 57 ms 34136 KB Output is correct
20 Correct 4 ms 18524 KB Output is correct
21 Correct 3 ms 18268 KB Output is correct
22 Correct 37 ms 30404 KB Output is correct
23 Correct 4 ms 18524 KB Output is correct
24 Correct 51 ms 29776 KB Output is correct
25 Correct 54 ms 32896 KB Output is correct
26 Correct 3 ms 18524 KB Output is correct
27 Correct 4 ms 18680 KB Output is correct
28 Correct 4 ms 18524 KB Output is correct
29 Correct 4 ms 18520 KB Output is correct
30 Correct 4 ms 18524 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 18268 KB Output is correct
2 Correct 3 ms 18268 KB Output is correct
3 Correct 3 ms 18268 KB Output is correct
4 Correct 3 ms 18268 KB Output is correct
5 Correct 3 ms 18268 KB Output is correct
6 Correct 3 ms 18264 KB Output is correct
7 Correct 3 ms 18268 KB Output is correct
8 Correct 3 ms 18268 KB Output is correct
9 Correct 3 ms 18368 KB Output is correct
10 Correct 3 ms 18268 KB Output is correct
11 Correct 3 ms 18268 KB Output is correct
12 Correct 3 ms 18268 KB Output is correct
13 Correct 3 ms 18432 KB Output is correct
14 Correct 4 ms 18268 KB Output is correct
15 Correct 4 ms 18360 KB Output is correct
16 Correct 3 ms 18268 KB Output is correct
17 Correct 3 ms 18264 KB Output is correct
18 Correct 3 ms 18372 KB Output is correct
19 Correct 3 ms 18268 KB Output is correct
20 Correct 3 ms 18268 KB Output is correct
21 Correct 3 ms 18268 KB Output is correct
22 Correct 3 ms 18424 KB Output is correct
23 Correct 3 ms 18268 KB Output is correct
24 Correct 3 ms 18268 KB Output is correct
25 Correct 4 ms 18428 KB Output is correct
26 Correct 4 ms 18524 KB Output is correct
27 Correct 4 ms 18576 KB Output is correct
28 Correct 4 ms 18524 KB Output is correct
29 Correct 4 ms 18524 KB Output is correct
30 Correct 4 ms 18524 KB Output is correct
31 Correct 3 ms 18268 KB Output is correct
32 Correct 5 ms 18780 KB Output is correct
33 Correct 3 ms 18268 KB Output is correct
34 Correct 4 ms 18524 KB Output is correct
35 Correct 4 ms 18524 KB Output is correct
36 Correct 4 ms 18520 KB Output is correct
37 Correct 4 ms 18564 KB Output is correct
38 Correct 3 ms 18268 KB Output is correct
39 Correct 5 ms 18524 KB Output is correct
40 Correct 5 ms 18520 KB Output is correct
41 Correct 4 ms 18520 KB Output is correct
42 Correct 4 ms 18520 KB Output is correct
43 Correct 4 ms 18744 KB Output is correct
44 Correct 3 ms 18268 KB Output is correct
45 Correct 4 ms 18524 KB Output is correct
46 Correct 4 ms 18524 KB Output is correct
47 Correct 3 ms 18268 KB Output is correct
48 Correct 5 ms 18524 KB Output is correct
49 Correct 4 ms 18524 KB Output is correct
50 Correct 4 ms 18524 KB Output is correct
51 Correct 4 ms 18524 KB Output is correct
52 Correct 4 ms 18436 KB Output is correct
53 Correct 4 ms 18524 KB Output is correct
54 Correct 4 ms 18524 KB Output is correct
55 Correct 5 ms 18268 KB Output is correct
56 Correct 35 ms 29900 KB Output is correct
57 Correct 46 ms 29520 KB Output is correct
58 Correct 4 ms 18524 KB Output is correct
59 Correct 3 ms 18352 KB Output is correct
60 Correct 3 ms 18268 KB Output is correct
61 Correct 51 ms 29616 KB Output is correct
62 Correct 4 ms 18520 KB Output is correct
63 Correct 72 ms 36868 KB Output is correct
64 Correct 43 ms 29532 KB Output is correct
65 Correct 4 ms 18524 KB Output is correct
66 Correct 59 ms 30424 KB Output is correct
67 Correct 4 ms 18520 KB Output is correct
68 Correct 4 ms 18520 KB Output is correct
69 Correct 43 ms 29924 KB Output is correct
70 Correct 5 ms 18780 KB Output is correct
71 Correct 44 ms 29576 KB Output is correct
72 Correct 61 ms 31828 KB Output is correct
73 Correct 3 ms 18264 KB Output is correct
74 Correct 66 ms 37132 KB Output is correct
75 Correct 62 ms 33360 KB Output is correct
76 Correct 4 ms 18524 KB Output is correct
77 Correct 5 ms 18524 KB Output is correct
78 Correct 37 ms 29900 KB Output is correct
79 Correct 33 ms 30668 KB Output is correct
80 Correct 4 ms 18524 KB Output is correct
81 Correct 4 ms 18436 KB Output is correct
82 Correct 3 ms 18264 KB Output is correct
83 Correct 3 ms 18268 KB Output is correct
84 Correct 4 ms 18524 KB Output is correct
85 Correct 48 ms 30036 KB Output is correct
86 Correct 4 ms 18524 KB Output is correct
87 Correct 44 ms 29632 KB Output is correct
88 Correct 3 ms 18268 KB Output is correct
89 Correct 50 ms 29812 KB Output is correct
90 Correct 57 ms 30032 KB Output is correct
91 Correct 43 ms 30356 KB Output is correct
92 Correct 31 ms 29780 KB Output is correct
93 Correct 4 ms 18632 KB Output is correct
94 Correct 3 ms 18268 KB Output is correct
95 Correct 38 ms 30540 KB Output is correct
96 Correct 57 ms 34136 KB Output is correct
97 Correct 4 ms 18524 KB Output is correct
98 Correct 3 ms 18268 KB Output is correct
99 Correct 37 ms 30404 KB Output is correct
100 Correct 4 ms 18524 KB Output is correct
101 Correct 51 ms 29776 KB Output is correct
102 Correct 54 ms 32896 KB Output is correct
103 Correct 3 ms 18524 KB Output is correct
104 Correct 4 ms 18680 KB Output is correct
105 Correct 4 ms 18524 KB Output is correct
106 Correct 4 ms 18520 KB Output is correct
107 Correct 4 ms 18524 KB Output is correct
108 Correct 255 ms 85952 KB Output is correct
109 Correct 643 ms 99408 KB Output is correct
110 Correct 632 ms 110804 KB Output is correct
111 Correct 552 ms 108596 KB Output is correct
112 Correct 523 ms 98896 KB Output is correct
113 Correct 297 ms 87100 KB Output is correct
114 Correct 355 ms 81744 KB Output is correct
115 Correct 337 ms 81384 KB Output is correct
116 Correct 376 ms 83796 KB Output is correct
117 Correct 407 ms 85536 KB Output is correct
118 Correct 369 ms 81492 KB Output is correct
119 Correct 386 ms 85584 KB Output is correct
120 Correct 506 ms 99668 KB Output is correct
121 Correct 378 ms 85588 KB Output is correct
122 Correct 406 ms 85056 KB Output is correct
123 Correct 288 ms 87228 KB Output is correct
124 Correct 415 ms 84892 KB Output is correct