QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#103035#6317. XOR Tree PathAlpha_Q#AC ✓130ms24200kbC++171.2kb2023-05-04 02:54:362023-05-04 02:54:37

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-05-04 02:54:37]
  • 评测
  • 测评结果:AC
  • 用时:130ms
  • 内存:24200kb
  • [2023-05-04 02:54:36]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

const int N = 100010;

vector <int> g[N];
int n, a[N], f[N][2];

void go (int u = 1) {
  for (int v : g[u]) {
    g[v].erase(find(g[v].begin(), g[v].end(), u));
    go(v);
  }
  if (g[u].empty()) {
    f[u][0] = a[u], f[u][1] = a[u] ^ 1;
    return;
  }
  vector <int> oth;
  for (int v : g[u]) oth.emplace_back(f[v][1] - f[v][0]);
  sort(oth.rbegin(), oth.rend());
  {
    int total = 0;
    for (int v : g[u]) total += f[v][0];
    f[u][0] = total;
    for (int i = 2; i <= oth.size(); i += 2) {
      total += oth[i - 1] + oth[i - 2];
      f[u][0] = max(f[u][0], total);
    }
    f[u][0] += a[u];
  }
  {
    int total = 0;
    for (int v : g[u]) total += f[v][0];
    total += oth[0], f[u][1] = total;
    for (int i = 3; i <= oth.size(); i += 2) {
      total += oth[i - 1] + oth[i - 2];
      f[u][1] = max(f[u][1], total);
    }
    f[u][1] += a[u] ^ 1;
  }
}

int main() {
  cin >> n;
  for (int i = 1; i <= n; ++i) {
    scanf("%d", a + i);
  }
  for (int i = 1, u, v; i < n; ++i) {
    scanf("%d %d", &u, &v);
    g[u].emplace_back(v);
    g[v].emplace_back(u);
  }
  go();
  cout << max(f[1][0], f[1][1]) << '\n';
  return 0; 
}


Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 5892kb

input:

5
1 0 0 1 0
1 2
1 3
3 4
3 5

output:

5

result:

ok 1 number(s): "5"

Test #2:

score: 0
Accepted
time: 3ms
memory: 5848kb

input:

6
1 1 0 0 1 0
3 1
2 5
1 2
4 1
2 6

output:

5

result:

ok 1 number(s): "5"

Test #3:

score: 0
Accepted
time: 1ms
memory: 7024kb

input:

9
1 0 1 0 1 0 1 0 1
2 9
1 2
6 9
3 8
4 5
5 9
2 8
7 8

output:

6

result:

ok 1 number(s): "6"

Test #4:

score: 0
Accepted
time: 46ms
memory: 9072kb

input:

73537
0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 0 1 0 0 1 0 0 0 1 1 1 0 1 1 1 0 1 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 0 1 1 0 0 1 1 1 1 1 1 1 0 1 0 0 1 0 1 1 1 0 0 0 1 0 1 1 0 0 ...

output:

56486

result:

ok 1 number(s): "56486"

Test #5:

score: 0
Accepted
time: 2ms
memory: 6128kb

input:

4440
1 1 1 1 1 0 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 1 0 1 1 1 0 1 0 0 0 1 0 0 0 1 0 1 0 0 1 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 0 0 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 1 0 0...

output:

3419

result:

ok 1 number(s): "3419"

Test #6:

score: 0
Accepted
time: 31ms
memory: 8356kb

input:

55025
1 0 1 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 0 1 1 1 0 1 1 0 1 1 1 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 0 1 1 0 1 0 1 1 1 0 0 0 1 1 1 0 1 0 1 0 1 1 1 1 0 1 0 0 1 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 1 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 0 0 0 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 ...

output:

42221

result:

ok 1 number(s): "42221"

Test #7:

score: 0
Accepted
time: 24ms
memory: 8972kb

input:

59260
1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 0 0 1 0 0 0 1 1 0 0 1 0 0 1 1 0 0 0 0 1 1 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 0 1 1 1 1 0 1 1 1 0 0 0 1 1 0 1 0 1 0 1 1 1 0 1 0 0 0 1 ...

output:

45452

result:

ok 1 number(s): "45452"

Test #8:

score: 0
Accepted
time: 20ms
memory: 7988kb

input:

48580
1 1 1 1 1 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 1 1 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 0 1 0 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 0 1 1 1 1 0 1 0 1 1 0 0 0 0 0 1 0 0 1 1 0 1 0 1 1 0 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 1 0 1 0 1 0 1 1 1 0 0 1 0 1 0 ...

output:

37287

result:

ok 1 number(s): "37287"

Test #9:

score: 0
Accepted
time: 65ms
memory: 10184kb

input:

100000
1 1 0 1 1 1 0 1 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 1 0 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 1 1 0 0 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 0 1 1 0 0 1 0 0 0 1 0 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 0 1 0 1 1 0 0 1 1 0 0 1 0 1 0 0 0 0 1 1 0 1 1...

output:

76831

result:

ok 1 number(s): "76831"

Test #10:

score: 0
Accepted
time: 56ms
memory: 10388kb

input:

100000
1 0 1 0 0 1 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 1 0 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 1 1 1 1 0 0 1 1 0 1 0 0 0 1 0 0 1 1 0 1 1 1 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 1 0 1 0 1 0 0 0 0 0 1 0 1 0 0 1 0 0 1 1 0...

output:

76692

result:

ok 1 number(s): "76692"

Test #11:

score: 0
Accepted
time: 69ms
memory: 10292kb

input:

100000
0 1 0 0 1 1 1 1 1 0 1 1 1 0 1 0 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 0 1 0 1 0 0 1 0 1 0 0 0 0 1 0 0 1 1 1 1 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 1 0 1 1 1 0 0 0 0 1 1 1 0 1 1 0 1 1 0 1 0 1 0 1 1 1 0 1 1 1 0 0 1 0 0 1 1 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 1 0 0 1 0 0 0 0 1 0 0 1 1 1 1 0...

output:

76715

result:

ok 1 number(s): "76715"

Test #12:

score: 0
Accepted
time: 3ms
memory: 5920kb

input:

2
1 0
1 2

output:

1

result:

ok 1 number(s): "1"

Test #13:

score: 0
Accepted
time: 2ms
memory: 6524kb

input:

2
0 0
1 2

output:

2

result:

ok 1 number(s): "2"

Test #14:

score: 0
Accepted
time: 3ms
memory: 6080kb

input:

3
0 0 0
1 2
1 3

output:

2

result:

ok 1 number(s): "2"

Test #15:

score: 0
Accepted
time: 25ms
memory: 11480kb

input:

30258
1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 ...

output:

15162

result:

ok 1 number(s): "15162"

Test #16:

score: 0
Accepted
time: 46ms
memory: 17612kb

input:

63626
1 0 0 1 1 1 1 1 1 1 1 0 1 0 0 0 0 1 1 1 0 1 0 0 1 0 0 1 1 1 1 1 1 1 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 0 0 0 0 1 1 0 1 1 1 0 1 0 0 0 0 0 0 0 1 1 0 1 0 0 0 1 0 0 0 1 1 1 1 0 1 1 0 1 1 1 1 0 1 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 0 0 0 1 0 0 1 1 0 1 1 1 1 0 1 1 1 0 ...

output:

31871

result:

ok 1 number(s): "31871"

Test #17:

score: 0
Accepted
time: 130ms
memory: 24200kb

input:

100000
0 0 1 0 0 0 1 1 1 0 0 0 0 1 1 1 1 0 1 1 1 1 0 1 1 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0 0 1 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 1 0 1 1 1 0 0 0 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 1 0 1 0 1 0 0 0 1 0 1 1 0 0 1 0 1 0 1 1 1 0 1 1 0 0 0 0 1 1 1 1 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 0 0 0 1 0 1...

output:

50029

result:

ok 1 number(s): "50029"

Test #18:

score: 0
Accepted
time: 2ms
memory: 5956kb

input:

702
1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 0 ...

output:

532

result:

ok 1 number(s): "532"

Test #19:

score: 0
Accepted
time: 0ms
memory: 5832kb

input:

555
1 0 1 1 1 1 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 1 0 0 1 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 1 1 0 0 0 0 0 0 1 0 0 1 0 0 1 0 0 1 1 0 0 1 1 0 0 1 1 0 1 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 1 0 1 0 0 1 0 1 0 0 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 1 1 1 0 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1 1 1 0 0 1 0 ...

output:

424

result:

ok 1 number(s): "424"

Test #20:

score: 0
Accepted
time: 4ms
memory: 5900kb

input:

81
0 0 0 0 1 1 0 0 0 0 1 0 0 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 0 1 1 0 0 0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 1 1 1
1 31
11 53
51 76
10 17
12 68
10 43
36 56
79 81
55 56
68 81
27 50
18 64
29 36
8 59
4 52
6 7
4 54
5 16
49 56
38 41
24 33
25 52
32 71
14 5...

output:

57

result:

ok 1 number(s): "57"

Test #21:

score: 0
Accepted
time: 4ms
memory: 5840kb

input:

654
0 1 0 1 0 0 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 1 1 0 1 0 1 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 0 0 1 0 1 0 1 1 0 0 1 0 0 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 0 ...

output:

503

result:

ok 1 number(s): "503"

Test #22:

score: 0
Accepted
time: 2ms
memory: 5932kb

input:

721
1 0 0 1 0 0 0 1 0 1 1 0 0 1 1 0 1 1 0 1 1 1 1 0 0 1 0 0 1 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 1 0 0 0 0 0 0 1 0 0 1 1 1 1 0 0 1 1 1 0 1 0 0 0 1 0 0 0 1 0 0 1 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 1 0 1 1 0 1 0 1 1 1 1 1 ...

output:

557

result:

ok 1 number(s): "557"

Test #23:

score: 0
Accepted
time: 4ms
memory: 7896kb

input:

30258
1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 1 0 1 0 0 1 1 0 0 0 1 0 0 1 1 1 1 1 1 0 0 0 1 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 0 0 1 0 1 0 0 1 1 0 0 1 0 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 0 1 1 0 0 1 1 0 0 1 1 0 1 1 0 0 0 1 1 1 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 1 1 ...

output:

30258

result:

ok 1 number(s): "30258"

Test #24:

score: 0
Accepted
time: 8ms
memory: 7980kb

input:

43363
0 1 0 1 0 1 0 1 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 1 0 0 0 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 0 1 1 0 0 1 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 0 1 1 0 1 1 1 0 0 1 0 0 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 0 1 1 0 0 0 0 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 0 0 0 0 1 0 1 1 0 1 0 0 1 ...

output:

43363

result:

ok 1 number(s): "43363"

Test #25:

score: 0
Accepted
time: 21ms
memory: 11124kb

input:

100000
0 0 0 0 1 1 1 0 1 1 1 0 0 1 1 1 0 0 1 1 0 0 0 1 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0 1 0 1 0 1 1 0 0 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 0 1 1 0 0 1 1 1 1 1 0 0 1 0 1 0 1 1 1 0 0 1 0 1 1 0 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 1 0 1 0 0 1 1 0 1 1 1 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 1 0 1 0 0 0...

output:

100000

result:

ok 1 number(s): "100000"

Test #26:

score: 0
Accepted
time: 1ms
memory: 6372kb

input:

20
0 1 0 0 1 1 0 0 1 1 0 0 0 0 0 0 0 1 1 0
1 20
17 18
10 11
5 19
5 12
6 18
2 13
8 18
8 13
13 15
1 3
5 11
14 15
3 16
9 17
7 19
4 12
4 16
7 15

output:

13

result:

ok 1 number(s): "13"

Test #27:

score: 0
Accepted
time: 4ms
memory: 5932kb

input:

8
1 0 0 1 0 1 0 0
3 5
3 8
1 2
6 8
3 4
1 6
7 8

output:

6

result:

ok 1 number(s): "6"