QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#182848#6738. Coverucup-team004#AC ✓783ms37552kbC++203.1kb2023-09-18 16:55:462023-09-18 16:55:46

Judging History

你现在查看的是最新测评结果

  • [2023-09-18 16:55:46]
  • 评测
  • 测评结果:AC
  • 用时:783ms
  • 内存:37552kb
  • [2023-09-18 16:55:46]
  • 提交

answer

#include <bits/stdc++.h>

using i64 = long long;

constexpr int N = 1E5;

int f[N];

int find(int x) {
    while (x != f[x]) {
        x = f[x] = f[f[x]];
    }
    return x;
}

i64 fen[N];
void add(int x, i64 y) {
    for (int i = x + 1; i <= N; i += i & -i) {
        fen[i - 1] += y;
    }
}

i64 sum(int x) {
    i64 res = 0;
    for (int i = x; i; i &= i - 1) {
        res += fen[i - 1];
    }
    return res;
}

int main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
    
    int n, m, k;
    std::cin >> n >> m >> k;
    
    std::vector<std::vector<int>> adj(n);
    for (int i = 1; i < n; i++) {
        int u, v;
        std::cin >> u >> v;
        u--, v--;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    
    std::vector<std::vector<int>> q(n), ch(n);
    std::vector<int> a(m), b(m), w(m);
    for (int i = 0; i < m; i++) {
        std::cin >> a[i] >> b[i] >> w[i];
        a[i]--, b[i]--;
        q[a[i]].push_back(i);
        q[b[i]].push_back(i);
    }
    std::vector<int> vis(m, -1);
    std::vector<int> in(n), out(n);
    int cur = 0;
    std::vector<i64> dp(n), g(n);
    std::iota(f, f + n, 0);
    auto dfs = [&](auto self, int x, int p) -> void {
        if (p != -1) {
            adj[x].erase(std::find(adj[x].begin(), adj[x].end(), p));
        }
        in[x] = cur++;
        const int deg = adj[x].size();
        for (auto y : adj[x]) {
            self(self, y, x);
            f[y] = x;
        }
        for (auto i : q[x]) {
            if (vis[i] == -1) {
                vis[i] = x;
            } else {
                int lca = find(vis[i]);
                ch[lca].push_back(i);
            }
        }
        out[x] = cur;
        std::vector<i64> f(1 << deg);
        for (int i = 1; i < (1 << deg); i++) {
            int u = __builtin_ctz(i);
            f[i] = f[i & (i - 1)] + dp[adj[x][u]];
        }
        for (auto i : ch[x]) {
            int mask = 0;
            i64 val = w[i];
            if (a[i] != x) {
                int j = 0;
                while (out[adj[x][j]] <= in[a[i]]) {
                    j++;
                }
                mask |= 1 << j;
                val += dp[a[i]] + sum(in[a[i]] + 1);
            }
            if (b[i] != x) {
                int j = 0;
                while (out[adj[x][j]] <= in[b[i]]) {
                    j++;
                }
                mask |= 1 << j;
                val += dp[b[i]] + sum(in[b[i]] + 1);
            }
            int s = (1 << deg) - 1 - mask;
            for (int t = s; ; t = (t - 1) & s) {
                f[t | mask] = std::max(f[t | mask], f[t] + val);
                if (!t) {
                    break;
                }
            }
        }
        dp[x] = f.back();
        for (int i = 0; i < deg; i++) {
            int y = adj[x][i];
            g[y] = f[(1 << deg) - 1 - (1 << i)];
            add(in[y], g[y]);
            add(out[y], -g[y]);
        }
    };
    dfs(dfs, 0, -1);
    
    std::cout << dp[0] << "\n";
    
    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 3896kb

input:

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

output:

19

result:

ok 1 number(s): "19"

Test #2:

score: 0
Accepted
time: 706ms
memory: 36304kb

input:

100000 500000 12
2 1
3 2
4 2
5 2
6 5
7 2
8 5
9 3
10 2
11 2
12 5
13 1
14 1
15 1
16 1
17 1
18 1
19 1
20 1
21 1
22 1
23 1
24 12
25 2
26 2
27 2
28 2
29 2
30 15
31 30
32 23
33 26
34 22
35 30
36 26
37 3
38 3
39 3
40 3
41 3
42 3
43 3
44 3
45 3
46 3
47 20
48 21
49 4
50 4
51 4
52 4
53 4
54 4
55 4
56 4
57 4
5...

output:

660925834533

result:

ok 1 number(s): "660925834533"

Test #3:

score: 0
Accepted
time: 749ms
memory: 35812kb

input:

100000 500000 12
2 1
3 2
4 1
5 4
6 2
7 5
8 2
9 7
10 8
11 3
12 11
13 1
14 1
15 1
16 1
17 1
18 1
19 1
20 1
21 1
22 1
23 22
24 8
25 2
26 2
27 2
28 2
29 2
30 2
31 2
32 2
33 26
34 27
35 23
36 13
37 3
38 3
39 3
40 3
41 3
42 3
43 3
44 3
45 3
46 3
47 14
48 8
49 4
50 4
51 4
52 4
53 4
54 4
55 4
56 4
57 4
58 4...

output:

664434138007

result:

ok 1 number(s): "664434138007"

Test #4:

score: 0
Accepted
time: 737ms
memory: 35956kb

input:

100000 500000 12
2 1
3 1
4 2
5 3
6 4
7 2
8 7
9 2
10 6
11 4
12 8
13 1
14 1
15 1
16 1
17 1
18 1
19 1
20 1
21 1
22 1
23 13
24 23
25 2
26 2
27 2
28 2
29 2
30 2
31 2
32 2
33 26
34 31
35 33
36 33
37 3
38 3
39 3
40 3
41 3
42 3
43 3
44 3
45 3
46 3
47 34
48 16
49 4
50 4
51 4
52 4
53 4
54 4
55 4
56 4
57 4
58 ...

output:

639691495391

result:

ok 1 number(s): "639691495391"

Test #5:

score: 0
Accepted
time: 744ms
memory: 36176kb

input:

100000 500000 12
2 1
3 1
4 2
5 1
6 5
7 4
8 2
9 1
10 4
11 8
12 7
13 1
14 1
15 1
16 1
17 1
18 1
19 1
20 1
21 14
22 14
23 21
24 20
25 2
26 2
27 2
28 2
29 2
30 2
31 2
32 2
33 2
34 23
35 31
36 7
37 3
38 3
39 3
40 3
41 3
42 3
43 3
44 3
45 3
46 3
47 3
48 29
49 4
50 4
51 4
52 4
53 4
54 4
55 4
56 4
57 4
58 3...

output:

662244733768

result:

ok 1 number(s): "662244733768"

Test #6:

score: 0
Accepted
time: 783ms
memory: 35540kb

input:

100000 500000 12
2 1
3 1
4 1
5 1
6 3
7 1
8 4
9 3
10 7
11 2
12 5
13 1
14 1
15 1
16 1
17 1
18 1
19 1
20 14
21 12
22 11
23 9
24 20
25 2
26 2
27 2
28 2
29 2
30 2
31 2
32 2
33 2
34 2
35 14
36 30
37 3
38 3
39 3
40 3
41 3
42 3
43 3
44 3
45 3
46 24
47 38
48 35
49 4
50 4
51 4
52 4
53 4
54 4
55 4
56 4
57 4
58...

output:

669458090009

result:

ok 1 number(s): "669458090009"

Test #7:

score: 0
Accepted
time: 189ms
memory: 36852kb

input:

100000 500000 12
2 1
3 2
4 3
5 4
6 5
7 6
8 7
9 8
10 9
11 10
12 11
13 12
14 13
15 14
16 15
17 16
18 17
19 18
20 19
21 20
22 21
23 22
24 23
25 24
26 25
27 26
28 27
29 28
30 29
31 30
32 31
33 32
34 33
35 34
36 35
37 36
38 37
39 38
40 39
41 40
42 41
43 42
44 43
45 44
46 45
47 46
48 47
49 48
50 49
51 50
...

output:

488921502446

result:

ok 1 number(s): "488921502446"

Test #8:

score: 0
Accepted
time: 194ms
memory: 36392kb

input:

100000 500000 12
2 1
3 2
4 3
5 4
6 5
7 6
8 7
9 8
10 9
11 10
12 11
13 12
14 13
15 14
16 15
17 16
18 17
19 18
20 19
21 20
22 21
23 22
24 23
25 24
26 25
27 26
28 27
29 28
30 29
31 30
32 31
33 32
34 33
35 34
36 35
37 36
38 37
39 38
40 16
41 40
42 41
43 42
44 33
45 44
46 45
47 46
48 47
49 48
50 49
51 50
...

output:

468137226275

result:

ok 1 number(s): "468137226275"

Test #9:

score: 0
Accepted
time: 180ms
memory: 35400kb

input:

100000 500000 12
2 1
3 2
4 3
5 4
6 5
7 6
8 7
9 8
10 9
11 10
12 11
13 12
14 13
15 14
16 15
17 16
18 17
19 18
20 19
21 20
22 21
23 22
24 23
25 24
26 25
27 26
28 27
29 28
30 29
31 30
32 31
33 32
34 33
35 34
36 35
37 36
38 37
39 38
40 39
41 40
42 41
43 42
44 43
45 44
46 45
47 46
48 47
49 48
50 35
51 50
...

output:

483733769728

result:

ok 1 number(s): "483733769728"

Test #10:

score: 0
Accepted
time: 183ms
memory: 36320kb

input:

100000 500000 12
2 1
3 2
4 3
5 4
6 5
7 6
8 7
9 8
10 9
11 10
12 11
13 12
14 13
15 14
16 15
17 16
18 17
19 18
20 19
21 20
22 21
23 22
24 23
25 24
26 25
27 26
28 27
29 28
30 29
31 30
32 31
33 32
34 33
35 34
36 35
37 36
38 37
39 38
40 39
41 40
42 41
43 42
44 43
45 44
46 45
47 46
48 47
49 48
50 49
51 50
...

output:

478945297872

result:

ok 1 number(s): "478945297872"

Test #11:

score: 0
Accepted
time: 169ms
memory: 37552kb

input:

100000 500000 12
2 1
3 2
4 3
5 4
6 5
7 6
8 7
9 8
10 9
11 10
12 11
13 12
14 13
15 14
16 15
17 16
18 17
19 18
20 19
21 20
22 21
23 22
24 23
25 24
26 25
27 26
28 27
29 28
30 29
31 30
32 31
33 32
34 33
35 34
36 35
37 36
38 37
39 38
40 39
41 40
42 41
43 42
44 43
45 44
46 45
47 46
48 47
49 48
50 49
51 50
...

output:

489443708266

result:

ok 1 number(s): "489443708266"

Test #12:

score: 0
Accepted
time: 619ms
memory: 20960kb

input:

10000 500000 12
2 1
3 2
4 1
5 1
6 2
7 5
8 2
9 8
10 6
11 8
12 4
13 11
14 1
15 6
16 5
17 10
18 17
19 12
20 8
21 16
22 1
23 5
24 21
25 23
26 3
27 18
28 6
29 8
30 15
31 1
32 30
33 17
34 23
35 5
36 24
37 33
38 25
39 34
40 1
41 24
42 11
43 6
44 18
45 28
46 25
47 32
48 40
49 29
50 43
51 33
52 9
53 2
54 20
...

output:

560772428222

result:

ok 1 number(s): "560772428222"

Test #13:

score: 0
Accepted
time: 161ms
memory: 20828kb

input:

10000 500000 12
2 1
3 2
4 2
5 2
6 4
7 5
8 4
9 4
10 4
11 4
12 10
13 5
14 13
15 9
16 15
17 2
18 5
19 14
20 11
21 11
22 20
23 20
24 1
25 5
26 15
27 20
28 17
29 4
30 18
31 12
32 14
33 18
34 18
35 16
36 31
37 18
38 19
39 12
40 17
41 14
42 7
43 27
44 25
45 13
46 35
47 10
48 15
49 46
50 44
51 21
52 15
53 2...

output:

572767352204

result:

ok 1 number(s): "572767352204"

Test #14:

score: 0
Accepted
time: 292ms
memory: 20728kb

input:

10000 500000 12
2 1
3 1
4 2
5 2
6 2
7 4
8 7
9 7
10 2
11 9
12 3
13 1
14 7
15 9
16 8
17 2
18 13
19 12
20 2
21 16
22 8
23 13
24 8
25 20
26 25
27 14
28 4
29 28
30 4
31 12
32 13
33 24
34 1
35 21
36 5
37 16
38 28
39 35
40 28
41 13
42 20
43 19
44 16
45 40
46 28
47 3
48 5
49 14
50 2
51 4
52 47
53 47
54 15
5...

output:

585482767864

result:

ok 1 number(s): "585482767864"

Test #15:

score: 0
Accepted
time: 187ms
memory: 20644kb

input:

10000 500000 12
2 1
3 2
4 3
5 3
6 3
7 5
8 7
9 4
10 3
11 2
12 7
13 4
14 8
15 9
16 1
17 12
18 13
19 2
20 3
21 16
22 10
23 20
24 4
25 19
26 6
27 17
28 5
29 17
30 27
31 22
32 14
33 11
34 4
35 24
36 34
37 14
38 23
39 18
40 30
41 28
42 36
43 12
44 5
45 14
46 17
47 11
48 14
49 16
50 16
51 18
52 30
53 17
54...

output:

564574799774

result:

ok 1 number(s): "564574799774"

Test #16:

score: 0
Accepted
time: 219ms
memory: 20808kb

input:

10000 500000 12
2 1
3 1
4 2
5 2
6 4
7 6
8 5
9 8
10 7
11 7
12 5
13 1
14 5
15 11
16 9
17 3
18 4
19 10
20 8
21 2
22 11
23 18
24 10
25 8
26 16
27 22
28 11
29 20
30 12
31 4
32 19
33 27
34 6
35 1
36 24
37 18
38 30
39 32
40 10
41 9
42 15
43 34
44 27
45 34
46 7
47 34
48 39
49 32
50 13
51 11
52 38
53 17
54 5...

output:

575291114848

result:

ok 1 number(s): "575291114848"