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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#109516#72. Mergersbashkort#0 36ms25868kbC++202.6kb2023-05-29 16:19:022024-05-31 13:47:10

Judging History

你现在查看的是最新测评结果

  • [2024-05-31 13:47:10]
  • 评测
  • 测评结果:0
  • 用时:36ms
  • 内存:25868kb
  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-05-29 16:19:02]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;
using ll = long long;

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    int n, k;
    cin >> n >> k;

    vector<vector<int>> adj(n);
    vector<int> parent(n), jump(n), tin(n), tout(n), anc(k), col(n), depth(n);

    for (int i = 1; i < n; ++i) {
        int a, b;
        cin >> a >> b;
        a -= 1, b -= 1;
        adj[a].push_back(b);
        adj[b].push_back(a);
    }

    for (int i = 0; i < n; ++i) {
        cin >> col[i];
        --col[i];
        anc[col[i]] = i;
    }

    auto dfs = [&](auto self, int v) -> void {
        static int T = 0;
        tin[v] = T++;

        for (int to : adj[v]) {
            if (to != parent[v]) {
                parent[to] = v;
                depth[to] = depth[v] + 1;
                int p = jump[v], pp = jump[p];
                if (depth[pp] - depth[p] == depth[p] - depth[v]) {
                    jump[to] = pp;
                } else {
                    jump[to] = v;
                }
                self(self, to);
            }
        }

        tout[v] = T;
    };

    dfs(dfs, 0);

    auto isp = [&](int x, int y) {
        return tin[x] <= tin[y] && tout[x] >= tout[y];
    };

    auto lca = [&](int x, int y) {
        while (!isp(x, y)) {
            if (!isp(jump[x], y)) {
                x = jump[x];
            } else {
                x = parent[x];
            }
        }
        return x;
    };

    for (int i = 0; i < n; ++i) {
        anc[col[i]] = lca(anc[col[i]], i);
    }

    vector<int> fa(n);
    iota(fa.begin(), fa.end(), 0);

    auto leader = [&](int x) {
        while (x != fa[x]) {
            x = fa[x] = fa[fa[x]];
        }
        return x;
    };

    auto unite = [&](int x, int y) {
        fa[leader(y)] = leader(x);
    };

    for (int i = 0; i < n; ++i) {
        if (i != anc[col[i]]) {
            int x = leader(i), c = anc[col[i]];
            while (!isp(x, c)) {
                unite(parent[x], x);
                x = leader(x);
            }
        }
    }

    vector<set<int>> st(n);

    auto addEdge = [&](int x, int y) {
        if (x == y) {
            return;
        }
        st[x].insert(y);
        st[y].insert(x);
    };

    for (int i = 1; i < n; ++i) {
        addEdge(leader(i), leader(parent[i]));
    }

    int cnt = 0;

    for (int i = 0; i < n; ++i) {
        if (leader(i) == i && st[i].size() <= 1) {
            cnt += 1;
        }
    }

    cout << cnt - 1 << '\n';

    return 0;
}

Details

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Subtask #1:

score: 0
Wrong Answer

Test #1:

score: 10
Accepted
time: 0ms
memory: 3548kb

input:

1 1
1

output:

0

result:

ok single line: '0'

Test #2:

score: 0
Accepted
time: 0ms
memory: 3560kb

input:

3 2
2 1
3 1
2
2
1

output:

1

result:

ok single line: '1'

Test #3:

score: 0
Accepted
time: 0ms
memory: 3856kb

input:

5 2
1 2
4 5
4 2
3 4
2
1
2
1
2

output:

0

result:

ok single line: '0'

Test #4:

score: 0
Accepted
time: 0ms
memory: 3844kb

input:

7 7
5 7
4 7
6 4
1 3
2 6
3 4
6
7
2
4
5
3
1

output:

2

result:

ok single line: '2'

Test #5:

score: 0
Accepted
time: 0ms
memory: 3620kb

input:

10 5
1 3
9 6
8 6
3 10
3 2
1 6
8 7
2 5
9 4
1
1
3
2
2
5
3
1
4
2

output:

0

result:

ok single line: '0'

Test #6:

score: 0
Accepted
time: 0ms
memory: 3568kb

input:

100 1
7 97
63 10
65 17
26 85
50 92
92 20
28 83
92 51
5 4
56 2
18 27
16 73
24 78
73 10
35 6
49 10
20 11
42 23
30 7
24 69
38 87
53 45
25 3
93 57
64 47
84 73
20 91
97 31
99 45
20 38
76 9
98 94
40 72
77 38
37 7
88 8
37 78
73 8
90 61
45 68
32 29
55 37
46 88
17 14
46 12
83 100
35 40
71 20
32 92
57 88
92 6...

output:

0

result:

ok single line: '0'

Test #7:

score: 0
Accepted
time: 0ms
memory: 3624kb

input:

100 7
53 48
26 44
28 93
71 74
7 58
76 79
8 89
44 71
80 6
31 67
76 33
90 24
55 1
62 41
95 35
44 68
29 24
18 56
60 85
71 42
71 1
50 78
12 46
67 50
86 50
71 18
17 51
49 13
63 41
2 25
19 93
74 43
74 39
51 43
2 3
61 49
40 61
48 84
99 62
98 43
80 92
58 76
22 43
58 10
50 14
5 26
75 55
19 51
45 38
3 8
23 52...

output:

0

result:

ok single line: '0'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3540kb

input:

9 6
7 6
9 1
2 4
4 5
9 2
8 6
9 3
8 1
3
1
6
4
4
2
5
5
6

output:

1

result:

ok single line: '1'

Test #9:

score: 0
Accepted
time: 0ms
memory: 3636kb

input:

100 6
45 58
90 65
28 24
76 32
97 92
50 81
38 17
98 40
81 21
68 56
36 78
45 12
74 31
72 30
20 35
61 85
39 8
69 40
54 60
80 25
5 95
95 27
54 70
19 21
20 12
85 93
16 88
95 48
46 14
45 72
40 7
37 14
72 47
22 10
45 31
75 69
32 6
73 22
56 99
11 35
43 55
1 56
15 56
35 42
100 55
49 34
76 33
87 45
78 70
90 8...

output:

1

result:

ok single line: '1'

Test #10:

score: 0
Accepted
time: 0ms
memory: 3792kb

input:

99 6
44 2
26 24
42 67
94 92
77 97
79 58
50 75
2 12
52 39
30 60
97 94
32 62
12 3
68 8
48 85
18 40
94 37
42 10
7 37
24 12
40 84
41 71
87 49
37 51
22 55
10 9
16 14
52 85
20 86
41 65
69 10
12 55
79 80
50 80
37 16
94 63
93 2
95 31
46 53
65 83
47 9
84 92
4 23
11 98
24 28
54 66
12 72
58 49
40 64
73 39
30 4...

output:

1

result:

ok single line: '1'

Test #11:

score: -10
Wrong Answer
time: 0ms
memory: 3828kb

input:

84 7
10 47
56 65
25 60
13 7
22 55
67 23
30 64
37 12
14 6
55 7
68 66
11 70
65 23
58 56
82 74
3 61
9 29
68 38
80 8
80 5
78 75
75 69
75 31
26 77
18 3
52 49
45 38
6 67
80 26
5 46
39 26
68 40
12 30
14 25
84 21
48 69
43 63
38 36
1 39
12 10
25 31
53 15
74 6
59 30
47 4
32 24
82 33
20 31
44 40
54 38
51 28
32...

output:

3

result:

wrong answer 1st lines differ - expected: '2', found: '3'

Subtask #2:

score: 0
Skipped

Dependency #1:

0%

Subtask #3:

score: 0
Skipped

Dependency #2:

0%

Subtask #4:

score: 0
Wrong Answer

Test #66:

score: 0
Wrong Answer
time: 36ms
memory: 25868kb

input:

100000 100000
14957 4585
67467 70858
61843 47396
50630 17382
61027 39858
94990 21698
10240 22940
23505 67581
91432 14182
22040 40125
24556 60351
75822 41519
82801 23601
90653 29138
85096 34582
99587 59109
8932 45189
18235 36632
43160 14939
67600 76675
60175 65542
99294 53955
46429 66931
16822 48854
...

output:

50082

result:

wrong answer 1st lines differ - expected: '25042', found: '50082'

Subtask #5:

score: 0
Skipped

Dependency #1:

0%