QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#151499 | #6317. XOR Tree Path | UFRJ# | AC ✓ | 42ms | 21716kb | C++20 | 1.2kb | 2023-08-26 20:32:44 | 2023-08-26 20:32:46 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using lint = int64_t;
int main() {
cin.tie(nullptr)->sync_with_stdio(false);
int N; cin >> N;
vector<int> A(N); for (int& a : A) cin >> a;
vector<vector<int>> adj(N);
for (int i = 0; i+1 < N; ++i) {
int a, b; cin >> a >> b;
--a, --b;
adj[a].push_back(b);
adj[b].push_back(a);
}
vector<vector<int>> dp(N, vector<int>(2));
const int INF = INT_MAX/2;
auto dfs = [&](auto&& self, int cur, int prv) -> void {
dp[cur] = {0, -INF};
bool is_leaf = true;
for (int nxt : adj[cur]) {
if (nxt == prv) continue;
self(self, nxt, cur);
is_leaf = false;
vector<int> ndp(2, -INF);
for (int a = 0; a < 2; ++a) {
for (int b = 0; b < 2; ++b) {
ndp[a^b] = max(ndp[a^b], dp[cur][a] + dp[nxt][b]);
}
}
dp[cur].swap(ndp);
}
if (is_leaf) {
dp[cur] = {A[cur], A[cur]^1};
} else {
dp[cur][A[cur]^1] += 1;
}
};
dfs(dfs, 0, -1);
cout << max(dp[0][0], dp[0][1]) << '\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 3484kb
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: 3440kb
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: 3484kb
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: 30ms
memory: 11492kb
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: 4048kb
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: 23ms
memory: 9356kb
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: 19ms
memory: 9908kb
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: 21ms
memory: 8584kb
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: 14392kb
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: 40ms
memory: 14328kb
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: 42ms
memory: 14584kb
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: 1ms
memory: 3512kb
input:
2 1 0 1 2
output:
1
result:
ok 1 number(s): "1"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3444kb
input:
2 0 0 1 2
output:
2
result:
ok 1 number(s): "2"
Test #14:
score: 0
Accepted
time: 1ms
memory: 3540kb
input:
3 0 0 0 1 2 1 3
output:
2
result:
ok 1 number(s): "2"
Test #15:
score: 0
Accepted
time: 11ms
memory: 8784kb
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: 23ms
memory: 14832kb
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: 34ms
memory: 21716kb
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: 3480kb
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: 3572kb
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: 3504kb
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: 3612kb
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: 3572kb
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: 9ms
memory: 6656kb
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: 12ms
memory: 8132kb
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: 14908kb
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: 0ms
memory: 3424kb
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"