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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#528039#6756. 桂花树Qwerty123225 210ms3816kbC++235.4kb2024-08-23 05:22:352024-08-23 05:22:36

Judging History

你现在查看的是最新测评结果

  • [2024-08-23 05:22:36]
  • 评测
  • 测评结果:25
  • 用时:210ms
  • 内存:3816kb
  • [2024-08-23 05:22:35]
  • 提交

answer

#include <bits/stdc++.h>

constexpr int mod = 1e9 + 7;

int add(int a, int b) {
    return a + b - mod * (a + b >= mod);
}
void add_to(int& a, int b) {
    a = add(a, b);
}
int mul(int a, int b) {
    return a * 1ULL * b % mod;
}
int power(int b, int e) {
    int r = 1;
    for (; e > 0; e >>= 1) {
        if (e & 1)
            r = mul(r, b);
        b = mul(b, b);
    }
    return r;
}

//

int group_id;

void solve() {
    int n, m, k;
    std::cin >> n >> m >> k;
    std::vector<int> prev(n, -1);
    for (int i = 1; i < n; i++) {
        std::cin >> prev[i];
        prev[i]--;
    }

    if (m == 0) {
        std::cout << 1 << "\n";
        return;
    }
    if (m == 1) {
        std::cout << 2 * n - 1 << "\n";
        return;
    }

    std::vector<std::vector<int>> init_lca(n, std::vector<int>(n));
    {
        std::vector<std::vector<int>> gr(n);
        for (int i = 1; i < n; i++) {
            gr[prev[i]].push_back(i);
        }
        std::vector<int> depth(n), prv(n), jmp(n);
        auto dfs = [&](auto dfs, int v, int f) -> void {
            prv[v] = f;
            jmp[v] = f;
            if (depth[v] > 1 && depth[f] + depth[jmp[jmp[f]]] == 2 * depth[jmp[f]]) {
                jmp[v] = jmp[jmp[f]];
            }
            for (int t : gr[v]) {
                if (t != f) {
                    depth[t] = depth[v] + 1;
                    dfs(dfs, t, v);
                }
            }
        };
        dfs(dfs, 0, 0);

        auto jump = [&](int v, int d) {
            while (depth[v] > d) {
                v = (depth[jmp[v]] >= d ? jmp[v] : prv[v]);
            }
            return v;
        };
        auto get_lca = [&](int u, int v) {
            if (depth[u] < depth[v]) {
                std::swap(u, v);
            }
            u = jump(u, depth[v]);
            while (u != v) {
                if (jmp[u] != jmp[v]) {
                    u = jmp[u], v = jmp[v];
                } else {
                    u = prv[u], v = prv[v];
                }
            }
            return u;
        };
        auto get_dist = [&](int u, int v) {
            return depth[u] + depth[v] - 2 * depth[get_lca(u, v)];
        };
        for (int i = 0; i < n; i++) {
            for (int j = i; j < n; j++) {
                init_lca[i][j] = init_lca[j][i] = get_lca(i, j);
            }
        }
    }

    int ans = 0;
    prev.resize(n + m);
    auto fuck = [&](auto fuck, int i) {
        if (i == n + m) {
            for (int j = 1; j < n + m; j++) {
                int v = j;
                for (int k = 0; v != -1 && k < n + m; k++) {
                    v = prev[v];
                }
                if (v != -1) {
                    return;
                }
            }

            std::vector<std::vector<int>> gr(n + m);
            for (int i = 1; i < n + m; i++) {
                gr[prev[i]].push_back(i);
            }
            std::vector<int> depth(n + m), prv(n + m), jmp(n + m);
            auto dfs = [&](auto dfs, int v, int f) -> void {
                prv[v] = f;
                jmp[v] = f;
                if (depth[v] > 1 && depth[f] + depth[jmp[jmp[f]]] == 2 * depth[jmp[f]]) {
                    jmp[v] = jmp[jmp[f]];
                }
                for (int t : gr[v]) {
                    if (t != f) {
                        depth[t] = depth[v] + 1;
                        dfs(dfs, t, v);
                    }
                }
            };
            dfs(dfs, 0, 0);

            auto jump = [&](int v, int d) {
                while (depth[v] > d) {
                    v = (depth[jmp[v]] >= d ? jmp[v] : prv[v]);
                }
                return v;
            };
            auto get_lca = [&](int u, int v) {
                if (depth[u] < depth[v]) {
                    std::swap(u, v);
                }
                u = jump(u, depth[v]);
                while (u != v) {
                    if (jmp[u] != jmp[v]) {
                        u = jmp[u], v = jmp[v];
                    } else {
                        u = prv[u], v = prv[v];
                    }
                }
                return u;
            };
            auto get_dist = [&](int u, int v) {
                return depth[u] + depth[v] - 2 * depth[get_lca(u, v)];
            };

            bool suc = true;
            for (int i = 0; i < n && suc; i++) {
                for (int j = i + 1; j < n; j++) {
                    if (get_lca(i, j) != init_lca[i][j]) {
                        suc = false;
                        break;
                    }
                }
            }
            for (int i = 0; i < n + m && suc; i++) {
                for (int j = 0; j < n + m; j++) {
                    if (get_lca(i, j) > std::max(i, j) + k) {
                        suc = false;
                        break;
                    }
                }
            }
            ans += suc;
            return;
        }
        for (int j = 0; j < n + m; j++) {
            if (i == j) {
                continue;
            }
            prev[i] = j;
            fuck(fuck, i + 1);
        }
    };

    fuck(fuck, 1);

    std::cout << ans << "\n";
}

int32_t main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);

    int t;
    std::cin >> group_id >> t;
    while (t--) {
        solve();
    }

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Pretests


Final Tests

Test #1:

score: 5
Accepted
time: 210ms
memory: 3816kb

input:

1 15
4 2 9
1 2 3
4 4 1
1 1 1
4 3 10
1 2 3
4 2 10
1 2 3
2 3 0
1
2 2 8
1
2 4 10
1
3 3 0
1 2
3 2 0
1 1
2 2 0
1
2 4 9
1
4 2 0
1 1 1
2 4 1
1
4 4 8
1 1 1
3 3 0
1 2

output:

66
10132
787
66
105
16
1296
315
35
15
1296
63
1110
11384
315

result:

ok 15 numbers

Test #2:

score: 5
Accepted
time: 128ms
memory: 3504kb

input:

2 15
4 2 0
1 1 1
3 4 8
1 2
2 2 9
1
3 4 0
1 1
4 2 9
1 1 1
3 4 2
1 1
3 3 10
1 1
3 3 0
1 2
3 2 0
1 1
3 2 0
1 1
3 4 2
1 2
2 2 0
1
2 2 0
1
4 4 8
1 1 2
3 2 0
1 2

output:

63
4553
16
3465
66
4347
366
315
35
35
4347
15
15
11384
35

result:

ok 15 numbers

Test #3:

score: 5
Accepted
time: 13ms
memory: 3736kb

input:

3 15
25363 0 10
1 2 2 4 5 6 5 7 5 7 7 8 13 11 13 12 17 14 19 20 20 22 23 24 22 26 26 24 28 28 30 32 32 30 34 33 35 34 38 37 41 41 40 40 42 46 45 44 47 49 51 49 51 54 54 56 55 58 57 59 60 62 60 61 64 65 63 65 68 66 70 68 69 74 75 72 76 77 78 77 77 78 79 84 83 83 85 87 89 90 91 90 90 91 93 93 97 95 98...

output:

1
1
1
1
1
1
1
1
1
1
1
1
1
1
1

result:

ok 15 numbers

Test #4:

score: 5
Accepted
time: 0ms
memory: 3568kb

input:

4 15
95 1 0
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
81 1 0
1 1 3 3 2 4 4 4 7 8 8 11 11 12 15 16 17 18 19 17 19 22 20 22 24 25 27 24 25 26 28 29 32 33 32...

output:

189
161
157
183
179
179
185
165
161
179
191
159
199
177
195

result:

ok 15 numbers

Test #5:

score: 5
Accepted
time: 15ms
memory: 3676kb

input:

5 15
24238 1 9
1 2 2 3 2 3 7 6 6 8 11 8 13 14 14 13 14 15 15 20 17 21 19 24 25 22 23 28 27 29 28 31 32 34 35 32 35 35 39 37 38 42 39 41 43 42 47 47 45 48 49 52 50 52 51 55 53 57 58 58 60 58 60 64 62 66 66 65 65 69 68 68 73 71 72 73 75 78 77 76 78 82 81 84 82 85 84 87 86 89 90 90 90 90 91 93 94 94 98...

output:

48475
54131
56879
54501
49951
55359
46639
52775
56387
53417
55987
58213
48849
46865
56865

result:

ok 15 numbers

Test #6:

score: 0
Time Limit Exceeded

input:

6 15
90 2 0
1 1 3 3 4 6 3 5 6 1 4 8 6 3 7 2 8 17 12 1 15 8 10 17 4 7 22 1 16 15 13 17 6 24 18 20 29 24 5 37 26 19 1 36 10 11 1 32 12 29 25 36 43 25 36 35 27 30 48 13 57 43 3 48 20 49 10 42 33 32 15 67 3 72 18 59 45 65 22 47 21 76 44 36 70 31 40 36 75
97 2 10
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1...

output:


result:


Test #7:

score: 0
Time Limit Exceeded

input:

7 15
23937 2 0
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50 51 ...

output:


result:


Test #8:

score: 0
Time Limit Exceeded

input:

8 15
1 89 0

1 88 0

1 86 0

1 81 0

1 89 0

1 88 0

1 85 0

1 88 0

1 99 0

1 93 0

1 94 0

1 79 0

1 97 0

1 88 0

1 96 0


output:


result:


Test #9:

score: 0
Time Limit Exceeded

input:

9 15
1 85 0

1 86 0

1 90 0

1 87 0

1 87 0

1 91 0

1 81 0

1 79 0

1 86 0

1 80 0

1 81 0

1 88 0

1 98 0

1 89 0

1 78 0


output:


result:


Test #10:

score: 0
Time Limit Exceeded

input:

10 15
1 2600 0

1 2562 0

1 2885 0

1 2926 0

1 2980 0

1 2796 0

1 2809 0

1 2441 0

1 2964 0

1 2384 0

1 2634 0

1 2284 0

1 2732 0

1 2525 0

1 2635 0


output:


result:


Test #11:

score: 0
Time Limit Exceeded

input:

11 15
1 97 8

1 98 8

1 75 9

1 86 10

1 91 10

1 80 10

1 99 10

1 75 10

1 81 3

1 86 8

1 76 10

1 79 9

1 77 9

1 79 8

1 92 10


output:


result:


Test #12:

score: 0
Time Limit Exceeded

input:

12 15
1 2419 9

1 3000 8

1 2952 9

1 2911 10

1 2596 8

1 2997 10

1 2479 10

1 2447 10

1 2504 8

1 2325 9

1 2473 10

1 2674 8

1 2817 9

1 2303 8

1 2253 6


output:


result:


Test #13:

score: 0
Time Limit Exceeded

input:

13 15
96 77 0
1 1 2 2 3 3 4 4 5 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 65 17 9 33 83 76 52 42 17 56 39 82 26 53
89 96 0
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 ...

output:


result:


Test #14:

score: 0
Time Limit Exceeded

input:

14 15
79 92 0
1 2 1 3 2 5 6 6 6 10 7 8 10 13 14 13 15 16 17 18 17 18 21 24 25 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 18 33 33 18 9 48 19 2 6 12 28 3 22 50 5 24 14 10 15 42 11 44 36 38 58 21 9
96 81 0
1 2 3 4 3 2 4 7 7 1 7 10 12 13 1 9 14 6 13 18 4 2 4 14 25 3 3...

output:


result:


Test #15:

score: 0
Time Limit Exceeded

input:

15 15
27219 2720 0
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50...

output:


result:


Test #16:

score: 0
Time Limit Exceeded

input:

16 15
23470 2270 0
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50...

output:


result:


Test #17:

score: 0
Time Limit Exceeded

input:

17 15
94 82 9
1 2 2 3 3 6 6 8 6 10 7 10 13 10 14 14 16 17 18 17 20 18 23 24 22 26 25 27 25 26 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 59 39 56 52 21 51 66 59 33 68 29 34 62 47 59 76 54 72 40 40 3 4 63 33 44 73 59 18 19 70 25 77
93 86 8
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

output:


result:


Test #18:

score: 0
Time Limit Exceeded

input:

18 15
78 96 1
1 1 2 2 3 3 4 4 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 52 54 22 16 21 56 64 32 42 64 52 49 19
87 86 9
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1...

output:


result:


Test #19:

score: 0
Time Limit Exceeded

input:

19 15
26104 2591 3
1 1 2 2 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13 14 14 15 15 16 16 17 17 18 18 19 19 20 20 21 21 22 22 23 23 24 24 25 25 26 26 27 27 28 28 29 29 30 30 31 31 32 32 33 33 34 34 35 35 36 36 37 37 38 38 39 39 40 40 41 41 42 42 43 43 44 44 45 45 46 46 47 47 48 48 49 49 50 50...

output:


result:


Test #20:

score: 0
Time Limit Exceeded

input:

20 15
22821 2558 8
1 1 1 3 2 4 2 5 5 5 7 7 13 4 15 12 1 17 15 6 10 10 13 20 20 1 16 14 9 9 28 24 14 28 2 28 35 20 30 37 1 9 21 35 42 23 41 11 15 29 10 1 13 6 24 11 11 46 32 39 32 10 59 57 20 24 51 24 60 28 65 16 31 42 25 12 27 28 53 49 15 12 58 73 83 47 7 71 2 2 26 57 82 61 17 17 48 96 23 83 2 41 59...

output:


result: