QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#99492#6317. XOR Tree PathSorting#AC ✓48ms25720kbC++141.4kb2023-04-22 18:21:262023-04-22 18:21:31

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.
  • [2023-04-22 18:21:31]
  • 评测
  • 测评结果:AC
  • 用时:48ms
  • 内存:25720kb
  • [2023-04-22 18:21:26]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
template<class T> void check_min(T &a, const T &b){ a = (a < b) ? a : b; }
template<class T> void check_max(T &a, const T &b){ a = (a > b) ? a : b; }
#define all(x) (x).begin(), (x).end()

const int N = 1e5 + 3;
const int INF = 1e9;

int n, a[N];
vector<int> adj[N];

int dp[N][2];

void solve(int u, int p = -1){
    vector<int> v;
    for(int to: adj[u]){
        if(to == p) continue;
        v.push_back(to);
        solve(to, u);
    }

    static int dp2[N][2];
    for(int i = 0; i <= v.size(); ++i){
        if(i == 0){
            dp2[i][0] = 0;
            dp2[i][1] = -INF;
            continue;
        }
        int x = v[i - 1];
        dp2[i][0] = max(dp[x][0] + dp2[i - 1][0], dp[x][1] + dp2[i - 1][1]);
        dp2[i][1] = max(dp[x][0] + dp2[i - 1][1], dp[x][1] + dp2[i - 1][0]);
    }

    if(v.size() == 0){
        dp[u][0] = a[u];
        dp[u][1] = !a[u];
    }
    else{
        dp[u][0] = dp2[v.size()][0] + a[u];
        dp[u][1] = dp2[v.size()][1] + !a[u];
    }
}

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

    cin >> n;
    for(int i = 1; i <= n; ++i)
        cin >> a[i];
    for(int i = 0; i < n - 1; ++i){
        int u, v;
        cin >> u >> v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }

    solve(1);

    cout << max(dp[1][0], dp[1][1]) << "\n";
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 5872kb

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: 1ms
memory: 7436kb

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: 2ms
memory: 6200kb

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: 16ms
memory: 10096kb

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: 1ms
memory: 6016kb

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: 24ms
memory: 8472kb

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: 27ms
memory: 9596kb

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: 8468kb

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: 40ms
memory: 10160kb

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: 34ms
memory: 10124kb

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: 48ms
memory: 10108kb

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: 7436kb

input:

2
1 0
1 2

output:

1

result:

ok 1 number(s): "1"

Test #13:

score: 0
Accepted
time: 3ms
memory: 6500kb

input:

2
0 0
1 2

output:

2

result:

ok 1 number(s): "2"

Test #14:

score: 0
Accepted
time: 3ms
memory: 5992kb

input:

3
0 0 0
1 2
1 3

output:

2

result:

ok 1 number(s): "2"

Test #15:

score: 0
Accepted
time: 15ms
memory: 11996kb

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: 24ms
memory: 18632kb

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: 45ms
memory: 25720kb

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: 4ms
memory: 7584kb

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: 3ms
memory: 5772kb

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: 3ms
memory: 6580kb

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: 3ms
memory: 5908kb

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: 6056kb

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: 12ms
memory: 7576kb

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: 14ms
memory: 9044kb

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: 19ms
memory: 11376kb

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: 3ms
memory: 5944kb

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: 3ms
memory: 6100kb

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"