oj.uz

Submission #604423

# Submission time Handle Problem Language Result Execution time Memory
604423 2022-07-25T06:15:38 Z tengiz05 Mergers (JOI19_mergers) C++17
100 / 100
 1241 ms 154572 KB 
#include <bits/stdc++.h>

using i64 = long long;

using namespace std;

struct DSU {
    std::vector<int> f, siz;
    DSU(int n) : f(n), siz(n, 1) { std::iota(f.begin(), f.end(), 0); }
    int leader(int x) {
        while (x != f[x]) x = f[x] = f[f[x]];
        return x;
    }
    bool same(int x, int y) { return leader(x) == leader(y); }
    bool merge(int x, int y) {
        x = leader(x);
        y = leader(y);
        if (x == y) return false;
        siz[x] += siz[y];
        f[y] = x;
        return true;
    }
    int size(int x) { return siz[leader(x)]; }
};

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    
    int n, k;
    cin >> n >> k;
    
    vector<vector<int>> e(n);
    for (int i = 0; i < n - 1; i++) {
        int u, v;
        cin >> u >> v;
        u--;
        v--;
        e[u].push_back(v);
        e[v].push_back(u);
    }
    
    vector<int> s(n);
    vector<int> L(k);
    for (int i = 0; i < n; i++) {
        cin >> s[i];
        s[i]--;
        L[s[i]] = i;
    }
    
    vector<int> in(n), out(n);
    vector up(n, vector<int>(20));
    int timeStamp = 0;
    
    function<void(int, int)> dfs = [&](int u, int p) {
        in[u] = timeStamp++;
        up[u][0] = p;
        for (int i = 1; i < 20; i++) {
            up[u][i] = up[up[u][i - 1]][i - 1];
        }
        for (int v : e[u]) {
            if (v != p) {
                dfs(v, u);
            }
        }
        out[u] = timeStamp;
    };
    
    dfs(0, 0);
    
    cerr << "How ";
    
    auto is = [&](int u, int v) {
        return in[u] <= in[v] && out[u] >= out[v];
    };
    auto lca = [&](int u, int v) {
        if (is(u, v)) return u;
        if (is(v, u)) return v;
        for (int i = 19; i >= 0; i--) {
            if (!is(up[u][i], v)) {
                u = up[u][i];
            }
        }
        return up[u][0];
    };
    
    for (int i = 0; i < n; i++) {
        L[s[i]] = lca(L[s[i]], i);
    }
    
    vector<int> cum(n);
    for (int i = 0; i < n; i++) {
        cum[i]++;
        cum[L[s[i]]]--;
    }
    
    cerr << "are ";
    
    DSU dsu(n);
    
    function<int(int, int)> dfs2 = [&](int u, int p) {
        int sum = cum[u];
        for (int v : e[u]) {
            if (v != p) {
                sum += dfs2(v, u);
            }
        }
        if (sum) {
            dsu.merge(u, p);
        }
        return sum;
    };
    
    dfs2(0, -1);
    
    cerr << "you ";
    
    vector<vector<int>> adj(n);
    for (int i = 0; i < n; i++) {
        for (int j : e[i]) {
            int u = dsu.leader(i);
            int v = dsu.leader(j);
            if (u != v) {
                adj[u].push_back(v);
            }
        }
    }
    
    cerr << "doing?\n";
    
    int cnt = 0;
    for (int i = 0; i < n; i++) {
        cnt += adj[i].size() == 1;
    }
    
    cout << (cnt + 1) / 2 << "\n";
    
    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 3 ms 980 KB Output is correct
27 Correct 2 ms 980 KB Output is correct
28 Correct 2 ms 1108 KB Output is correct
29 Correct 3 ms 980 KB Output is correct
30 Correct 2 ms 980 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 2 ms 1108 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 2 ms 980 KB Output is correct
35 Correct 2 ms 1004 KB Output is correct
36 Correct 3 ms 980 KB Output is correct
37 Correct 2 ms 980 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 2 ms 980 KB Output is correct
40 Correct 2 ms 980 KB Output is correct
41 Correct 2 ms 980 KB Output is correct
42 Correct 2 ms 980 KB Output is correct
43 Correct 4 ms 1252 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 2 ms 980 KB Output is correct
46 Correct 4 ms 980 KB Output is correct
47 Correct 0 ms 340 KB Output is correct
48 Correct 3 ms 980 KB Output is correct
49 Correct 2 ms 1032 KB Output is correct
50 Correct 3 ms 1108 KB Output is correct
51 Correct 2 ms 980 KB Output is correct
52 Correct 2 ms 980 KB Output is correct
53 Correct 2 ms 980 KB Output is correct
54 Correct 2 ms 980 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 212 KB Output is correct
26 Correct 85 ms 22692 KB Output is correct
27 Correct 111 ms 22284 KB Output is correct
28 Correct 2 ms 1012 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 124 ms 22248 KB Output is correct
32 Correct 2 ms 980 KB Output is correct
33 Correct 143 ms 30932 KB Output is correct
34 Correct 105 ms 22304 KB Output is correct
35 Correct 2 ms 980 KB Output is correct
36 Correct 131 ms 23212 KB Output is correct
37 Correct 2 ms 980 KB Output is correct
38 Correct 3 ms 980 KB Output is correct
39 Correct 75 ms 22564 KB Output is correct
40 Correct 3 ms 1236 KB Output is correct
41 Correct 105 ms 22352 KB Output is correct
42 Correct 171 ms 25032 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 139 ms 31292 KB Output is correct
45 Correct 174 ms 26828 KB Output is correct
46 Correct 2 ms 980 KB Output is correct
47 Correct 3 ms 980 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 85 ms 22768 KB Output is correct
2 Correct 92 ms 26612 KB Output is correct
3 Correct 3 ms 1016 KB Output is correct
4 Correct 2 ms 980 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 2 ms 980 KB Output is correct
8 Correct 123 ms 22888 KB Output is correct
9 Correct 2 ms 980 KB Output is correct
10 Correct 121 ms 22364 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 112 ms 22232 KB Output is correct
13 Correct 123 ms 23056 KB Output is correct
14 Correct 143 ms 25996 KB Output is correct
15 Correct 85 ms 22540 KB Output is correct
16 Correct 2 ms 980 KB Output is correct
17 Correct 0 ms 340 KB Output is correct
18 Correct 85 ms 25740 KB Output is correct
19 Correct 140 ms 30564 KB Output is correct
20 Correct 3 ms 1024 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 121 ms 23420 KB Output is correct
23 Correct 3 ms 980 KB Output is correct
24 Correct 124 ms 22496 KB Output is correct
25 Correct 201 ms 28988 KB Output is correct
26 Correct 4 ms 1108 KB Output is correct
27 Correct 3 ms 1108 KB Output is correct
28 Correct 2 ms 980 KB Output is correct
29 Correct 8 ms 900 KB Output is correct
30 Correct 4 ms 980 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 340 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 0 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 0 ms 340 KB Output is correct
22 Correct 0 ms 340 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 3 ms 980 KB Output is correct
27 Correct 2 ms 980 KB Output is correct
28 Correct 2 ms 1108 KB Output is correct
29 Correct 3 ms 980 KB Output is correct
30 Correct 2 ms 980 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Correct 2 ms 1108 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 2 ms 980 KB Output is correct
35 Correct 2 ms 1004 KB Output is correct
36 Correct 3 ms 980 KB Output is correct
37 Correct 2 ms 980 KB Output is correct
38 Correct 0 ms 340 KB Output is correct
39 Correct 2 ms 980 KB Output is correct
40 Correct 2 ms 980 KB Output is correct
41 Correct 2 ms 980 KB Output is correct
42 Correct 2 ms 980 KB Output is correct
43 Correct 4 ms 1252 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 2 ms 980 KB Output is correct
46 Correct 4 ms 980 KB Output is correct
47 Correct 0 ms 340 KB Output is correct
48 Correct 3 ms 980 KB Output is correct
49 Correct 2 ms 1032 KB Output is correct
50 Correct 3 ms 1108 KB Output is correct
51 Correct 2 ms 980 KB Output is correct
52 Correct 2 ms 980 KB Output is correct
53 Correct 2 ms 980 KB Output is correct
54 Correct 2 ms 980 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 85 ms 22692 KB Output is correct
57 Correct 111 ms 22284 KB Output is correct
58 Correct 2 ms 1012 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 124 ms 22248 KB Output is correct
62 Correct 2 ms 980 KB Output is correct
63 Correct 143 ms 30932 KB Output is correct
64 Correct 105 ms 22304 KB Output is correct
65 Correct 2 ms 980 KB Output is correct
66 Correct 131 ms 23212 KB Output is correct
67 Correct 2 ms 980 KB Output is correct
68 Correct 3 ms 980 KB Output is correct
69 Correct 75 ms 22564 KB Output is correct
70 Correct 3 ms 1236 KB Output is correct
71 Correct 105 ms 22352 KB Output is correct
72 Correct 171 ms 25032 KB Output is correct
73 Correct 1 ms 340 KB Output is correct
74 Correct 139 ms 31292 KB Output is correct
75 Correct 174 ms 26828 KB Output is correct
76 Correct 2 ms 980 KB Output is correct
77 Correct 3 ms 980 KB Output is correct
78 Correct 85 ms 22768 KB Output is correct
79 Correct 92 ms 26612 KB Output is correct
80 Correct 3 ms 1016 KB Output is correct
81 Correct 2 ms 980 KB Output is correct
82 Correct 1 ms 212 KB Output is correct
83 Correct 0 ms 340 KB Output is correct
84 Correct 2 ms 980 KB Output is correct
85 Correct 123 ms 22888 KB Output is correct
86 Correct 2 ms 980 KB Output is correct
87 Correct 121 ms 22364 KB Output is correct
88 Correct 0 ms 340 KB Output is correct
89 Correct 112 ms 22232 KB Output is correct
90 Correct 123 ms 23056 KB Output is correct
91 Correct 143 ms 25996 KB Output is correct
92 Correct 85 ms 22540 KB Output is correct
93 Correct 2 ms 980 KB Output is correct
94 Correct 0 ms 340 KB Output is correct
95 Correct 85 ms 25740 KB Output is correct
96 Correct 140 ms 30564 KB Output is correct
97 Correct 3 ms 1024 KB Output is correct
98 Correct 1 ms 340 KB Output is correct
99 Correct 121 ms 23420 KB Output is correct
100 Correct 3 ms 980 KB Output is correct
101 Correct 124 ms 22496 KB Output is correct
102 Correct 201 ms 28988 KB Output is correct
103 Correct 4 ms 1108 KB Output is correct
104 Correct 3 ms 1108 KB Output is correct
105 Correct 2 ms 980 KB Output is correct
106 Correct 8 ms 900 KB Output is correct
107 Correct 4 ms 980 KB Output is correct
108 Correct 688 ms 114204 KB Output is correct
109 Correct 1241 ms 132076 KB Output is correct
110 Correct 1146 ms 145516 KB Output is correct
111 Correct 1193 ms 154572 KB Output is correct
112 Correct 1165 ms 137904 KB Output is correct
113 Correct 604 ms 127740 KB Output is correct
114 Correct 785 ms 110452 KB Output is correct
115 Correct 783 ms 110476 KB Output is correct
116 Correct 828 ms 110900 KB Output is correct
117 Correct 774 ms 128584 KB Output is correct
118 Correct 732 ms 108296 KB Output is correct
119 Correct 819 ms 128572 KB Output is correct
120 Correct 1109 ms 144940 KB Output is correct
121 Correct 846 ms 128476 KB Output is correct
122 Correct 844 ms 114620 KB Output is correct
123 Correct 568 ms 131392 KB Output is correct
124 Correct 984 ms 120164 KB Output is correct