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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
#115045#6317. XOR Tree PathNTRLover#AC ✓35ms26204kbC++201.5kb2023-06-24 15:22:312023-06-24 15:22:32

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.
  • [2023-06-24 15:22:32]
  • 评测
  • 测评结果:AC
  • 用时:35ms
  • 内存:26204kb
  • [2023-06-24 15:22:31]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
auto solve() {
  int n;
  cin >> n;
  vector<int> a(n);
  vector<array<ll, 2>> dp(n);
  vector<vector<int>> E(n);
  for (auto &i : a) {
    cin >> i;
  }
  for (int i = 1; i < n; ++i) {
    int u, v;
    cin >> u >> v;
    u--, v--;
    E[u].emplace_back(v);
    E[v].emplace_back(u);
  }
  function<void(int, int)> dfs = [&](int u, int fa) {
    if (a[u]) {
      dp[u][0] = 1;
      dp[u][1] = 0;
    } else {
      dp[u][0] = 0;
      dp[u][1] = 1;
    }
    vector<int> dif;
    ll base = 0;
    for (auto v : E[u]) {
      if (v == fa)
        continue;
      dfs(v, u);
      base += dp[v][0];
      dif.emplace_back(dp[v][1] - dp[v][0]);
    }
    if (dif.empty())
      return;
    sort(dif.begin(), dif.end(), greater<>());
    // odd part
    dp[u][1] += base + dif[0];
    ll cnt = 0, sum = 0;
    for (int i = 1; i < (int)dif.size(); i += 2) {
      if (i + 1 >= (int)dif.size())
        break;
      sum += dif[i] + dif[i + 1];
      cnt = max(cnt, sum);
    }
    dp[u][1] += cnt;
    cnt = 0, sum = 0;
    dp[u][0] += base;
    for (int i = 0; i < (int)dif.size(); i += 2) {
      if (i + 1 >= (int)dif.size())
        break;
      sum += dif[i] + dif[i + 1];
      cnt = max(cnt, sum);
    }
    dp[u][0] += cnt;
  };
  dfs(0, 0);
  cout << max(dp[0][0], dp[0][1]) << "\n";
}
auto main() -> int {
  ios::sync_with_stdio(false);
  cin.tie(nullptr), cout.tie(nullptr);
  int _ = 1;
  // cin >> _;
  while (_--) {
    solve();
  }
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 3408kb

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: 0ms
memory: 3424kb

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: 0ms
memory: 3512kb

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: 26ms
memory: 8516kb

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: 0ms
memory: 3832kb

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: 19ms
memory: 7184kb

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: 16ms
memory: 7468kb

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: 17ms
memory: 6712kb

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: 28ms
memory: 10624kb

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: 35ms
memory: 10696kb

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: 32ms
memory: 10660kb

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: 0ms
memory: 3440kb

input:

2
1 0
1 2

output:

1

result:

ok 1 number(s): "1"

Test #13:

score: 0
Accepted
time: 1ms
memory: 3424kb

input:

2
0 0
1 2

output:

2

result:

ok 1 number(s): "2"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3496kb

input:

3
0 0 0
1 2
1 3

output:

2

result:

ok 1 number(s): "2"

Test #15:

score: 0
Accepted
time: 10ms
memory: 10120kb

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: 18ms
memory: 17752kb

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: 33ms
memory: 26204kb

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: 1ms
memory: 3532kb

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: 1ms
memory: 3564kb

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: 1ms
memory: 3420kb

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: 1ms
memory: 3536kb

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: 1ms
memory: 3496kb

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: 7ms
memory: 5684kb

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: 3ms
memory: 6804kb

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: 16ms
memory: 11648kb

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: 3472kb

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: 1ms
memory: 3476kb

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"