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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#178660#6317. XOR Tree PathKKT89AC ✓42ms22912kbC++172.0kb2023-09-14 10:46:532023-09-14 10:46:54

Judging History

你现在查看的是最新测评结果

  • [2023-09-14 10:46:54]
  • 评测
  • 测评结果:AC
  • 用时:42ms
  • 内存:22912kb
  • [2023-09-14 10:46:53]
  • 提交

answer

#pragma GCC optimize("Ofast")
#include <iostream>
#include <vector>
#include <algorithm>
#include <map>
#include <queue>
#include <assert.h>
#include <chrono>
#include <random>
#include <set>
#include <utility>
#include <array>
#include <bitset>
#include <unordered_set>
using namespace std;
typedef long long int ll;
typedef unsigned long long int ull;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll myRand(ll B) {
    return (ull)rng() % B;
}
inline double time() {
    return static_cast<long double>(chrono::duration_cast<chrono::nanoseconds>(chrono::steady_clock::now().time_since_epoch()).count()) * 1e-9;
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int n; cin >> n;
    vector<int> a(n);
    for (int i = 0; i < n; ++i) {
        cin >> a[i];
    }
    vector<vector<int>> g(n);
    for (int i = 0; i < n - 1; ++i) {
        int x,y; cin >> x >> y;
        x--; y--;
        g[x].push_back(y);
        g[y].push_back(x);
    }
    vector<vector<int>> dp(2, vector<int>(n));
    auto dfs = [&](auto dfs, int s, int p) -> void {
        vector<int> c;
        for (int t : g[s]) {
            if (t == p) continue;
            dfs(dfs, t, s);
            c.push_back(t);
        }
        if (c.size() == 0) {
            dp[0][s] = a[s];
            dp[1][s] = 1-a[s];
        }
        else {
            int mx = 1e9;
            int sum = 0;
            int bit = 0;
            for (auto t : c) {
                if (dp[0][t] > dp[1][t]) {
                    sum += dp[0][t];
                    mx = min(mx, dp[0][t]-dp[1][t]);
                }
                else {
                    sum += dp[1][t];
                    mx = min(mx, dp[1][t]-dp[0][t]);
                    bit ^= 1;
                }
            }
            int ad = (a[s]^bit);
            dp[bit][s] = sum+ad;
            dp[1-bit][s] = sum-mx+(1-ad);
        }
    };
    dfs(dfs, 0, -1);
    cout << max(dp[0][0], dp[1][0]) << endl;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3508kb

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: 3528kb

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: 3464kb

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: 20ms
memory: 8368kb

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: 3828kb

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: 16ms
memory: 7020kb

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: 22ms
memory: 7364kb

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: 18ms
memory: 6552kb

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: 42ms
memory: 10188kb

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: 41ms
memory: 10264kb

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: 36ms
memory: 10208kb

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: 0ms
memory: 3504kb

input:

2
0 0
1 2

output:

2

result:

ok 1 number(s): "2"

Test #14:

score: 0
Accepted
time: 0ms
memory: 3512kb

input:

3
0 0 0
1 2
1 3

output:

2

result:

ok 1 number(s): "2"

Test #15:

score: 0
Accepted
time: 13ms
memory: 9296kb

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: 20ms
memory: 15712kb

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: 42ms
memory: 22912kb

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: 3504kb

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: 3484kb

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: 3500kb

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: 3560kb

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: 3564kb

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: 6ms
memory: 5656kb

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: 4ms
memory: 6616kb

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: 15ms
memory: 11076kb

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: 3532kb

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: 3544kb

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"