#include <bits/stdc++.h>
using namespace std;
int n, res;
const int MAXN = 200'050;
vector<int> v[MAXN];
string s;
bool has_gen[MAXN];
int dfs(int x, int p) {
int mx = 0, sum = 0;
for (auto z : v[x]) {
if (z != p) {
int dp = dfs(z, x);
mx = max(mx, dp);
sum += dp;
}
}
int ans;
// My key concern was that if we assume there is
// an ON node above x, but there actually isn't.
// But in ans we can pretend x is the root node
// E.g. if there is actually no ON node above x
// then one possible case for ans would be
// mx + 1 (ON x if has_gen[x]) (although dp is still 1)
// Basically also calculate ans at each node assuming the root of the tree is x besides dp
if (!has_gen[x]) {
ans = sum;
res = max(res, ans);
return sum; // = dp
}
// Force generator ON
ans = 1 + mx; // Assuming x is the root (i.e. no ON above x)
int ret = 1; // Assuming has ON above x, we must pick only 1
// Force generator OFF
ans = max(ans, sum - 1); // Again assuming x is the root
ret = max(ret, sum - 1); // Even if there is ON above x it's still this. Here we maximise dp before returning it
res = max(res, ans);
return ret;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cin >> n;
for (int i = 0, a, b; i < n - 1; i++) {
cin >> a >> b;
v[a].push_back(b);
v[b].push_back(a);
}
cin >> s;
for (int i = 1; i <= n; i++) {
has_gen[i] = s[i - 1] == '1';
}
dfs(1, -1);
cout << res;
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 2 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 3 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 4 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 5 |
Correct |
3 ms |
5012 KB |
Output is correct |
| 6 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 7 |
Correct |
4 ms |
5020 KB |
Output is correct |
| 8 |
Correct |
3 ms |
4932 KB |
Output is correct |
| 9 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 10 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 11 |
Correct |
3 ms |
5012 KB |
Output is correct |
| 12 |
Correct |
3 ms |
4916 KB |
Output is correct |
| 13 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 14 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 15 |
Correct |
3 ms |
5016 KB |
Output is correct |
| 16 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 17 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 18 |
Correct |
4 ms |
4940 KB |
Output is correct |
| 19 |
Correct |
3 ms |
4980 KB |
Output is correct |
| 20 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 21 |
Correct |
2 ms |
5012 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 2 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 3 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 4 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 5 |
Correct |
3 ms |
5012 KB |
Output is correct |
| 6 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 7 |
Correct |
4 ms |
5020 KB |
Output is correct |
| 8 |
Correct |
3 ms |
4932 KB |
Output is correct |
| 9 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 10 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 11 |
Correct |
3 ms |
5012 KB |
Output is correct |
| 12 |
Correct |
3 ms |
4916 KB |
Output is correct |
| 13 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 14 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 15 |
Correct |
3 ms |
5016 KB |
Output is correct |
| 16 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 17 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 18 |
Correct |
4 ms |
4940 KB |
Output is correct |
| 19 |
Correct |
3 ms |
4980 KB |
Output is correct |
| 20 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 21 |
Correct |
2 ms |
5012 KB |
Output is correct |
| 22 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 23 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 24 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 25 |
Correct |
4 ms |
5028 KB |
Output is correct |
| 26 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 27 |
Correct |
4 ms |
5020 KB |
Output is correct |
| 28 |
Correct |
4 ms |
5076 KB |
Output is correct |
| 29 |
Correct |
4 ms |
5196 KB |
Output is correct |
| 30 |
Correct |
3 ms |
5080 KB |
Output is correct |
| 31 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 32 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 33 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 34 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 35 |
Correct |
3 ms |
5028 KB |
Output is correct |
| 36 |
Correct |
3 ms |
5196 KB |
Output is correct |
| 37 |
Correct |
4 ms |
5020 KB |
Output is correct |
| 38 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 39 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 40 |
Correct |
3 ms |
5020 KB |
Output is correct |
| 41 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 42 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 43 |
Correct |
3 ms |
5120 KB |
Output is correct |
| 44 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 45 |
Correct |
4 ms |
5072 KB |
Output is correct |
| 46 |
Correct |
5 ms |
5028 KB |
Output is correct |
| 47 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 48 |
Correct |
3 ms |
5076 KB |
Output is correct |
| 49 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 50 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 51 |
Correct |
3 ms |
5004 KB |
Output is correct |
| 52 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 53 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 54 |
Correct |
3 ms |
5028 KB |
Output is correct |
| 55 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 56 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 57 |
Correct |
5 ms |
5196 KB |
Output is correct |
| 58 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 59 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 60 |
Correct |
4 ms |
5048 KB |
Output is correct |
| 61 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 62 |
Correct |
3 ms |
5196 KB |
Output is correct |
| 63 |
Correct |
4 ms |
5024 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 2 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 3 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 4 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 5 |
Correct |
3 ms |
5012 KB |
Output is correct |
| 6 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 7 |
Correct |
4 ms |
5020 KB |
Output is correct |
| 8 |
Correct |
3 ms |
4932 KB |
Output is correct |
| 9 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 10 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 11 |
Correct |
3 ms |
5012 KB |
Output is correct |
| 12 |
Correct |
3 ms |
4916 KB |
Output is correct |
| 13 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 14 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 15 |
Correct |
3 ms |
5016 KB |
Output is correct |
| 16 |
Correct |
3 ms |
4940 KB |
Output is correct |
| 17 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 18 |
Correct |
4 ms |
4940 KB |
Output is correct |
| 19 |
Correct |
3 ms |
4980 KB |
Output is correct |
| 20 |
Correct |
2 ms |
4940 KB |
Output is correct |
| 21 |
Correct |
2 ms |
5012 KB |
Output is correct |
| 22 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 23 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 24 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 25 |
Correct |
4 ms |
5028 KB |
Output is correct |
| 26 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 27 |
Correct |
4 ms |
5020 KB |
Output is correct |
| 28 |
Correct |
4 ms |
5076 KB |
Output is correct |
| 29 |
Correct |
4 ms |
5196 KB |
Output is correct |
| 30 |
Correct |
3 ms |
5080 KB |
Output is correct |
| 31 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 32 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 33 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 34 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 35 |
Correct |
3 ms |
5028 KB |
Output is correct |
| 36 |
Correct |
3 ms |
5196 KB |
Output is correct |
| 37 |
Correct |
4 ms |
5020 KB |
Output is correct |
| 38 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 39 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 40 |
Correct |
3 ms |
5020 KB |
Output is correct |
| 41 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 42 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 43 |
Correct |
3 ms |
5120 KB |
Output is correct |
| 44 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 45 |
Correct |
4 ms |
5072 KB |
Output is correct |
| 46 |
Correct |
5 ms |
5028 KB |
Output is correct |
| 47 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 48 |
Correct |
3 ms |
5076 KB |
Output is correct |
| 49 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 50 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 51 |
Correct |
3 ms |
5004 KB |
Output is correct |
| 52 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 53 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 54 |
Correct |
3 ms |
5028 KB |
Output is correct |
| 55 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 56 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 57 |
Correct |
5 ms |
5196 KB |
Output is correct |
| 58 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 59 |
Correct |
4 ms |
5068 KB |
Output is correct |
| 60 |
Correct |
4 ms |
5048 KB |
Output is correct |
| 61 |
Correct |
3 ms |
5068 KB |
Output is correct |
| 62 |
Correct |
3 ms |
5196 KB |
Output is correct |
| 63 |
Correct |
4 ms |
5024 KB |
Output is correct |
| 64 |
Correct |
154 ms |
14648 KB |
Output is correct |
| 65 |
Correct |
127 ms |
14596 KB |
Output is correct |
| 66 |
Correct |
110 ms |
14512 KB |
Output is correct |
| 67 |
Correct |
112 ms |
14556 KB |
Output is correct |
| 68 |
Correct |
126 ms |
14560 KB |
Output is correct |
| 69 |
Correct |
155 ms |
14592 KB |
Output is correct |
| 70 |
Correct |
129 ms |
14664 KB |
Output is correct |
| 71 |
Correct |
118 ms |
14508 KB |
Output is correct |
| 72 |
Correct |
111 ms |
14592 KB |
Output is correct |
| 73 |
Correct |
141 ms |
27136 KB |
Output is correct |
| 74 |
Correct |
131 ms |
27168 KB |
Output is correct |
| 75 |
Correct |
128 ms |
14456 KB |
Output is correct |
| 76 |
Correct |
103 ms |
14476 KB |
Output is correct |
| 77 |
Correct |
116 ms |
14424 KB |
Output is correct |
| 78 |
Correct |
111 ms |
14468 KB |
Output is correct |
| 79 |
Correct |
117 ms |
14476 KB |
Output is correct |
| 80 |
Correct |
107 ms |
14492 KB |
Output is correct |
| 81 |
Correct |
94 ms |
14864 KB |
Output is correct |
| 82 |
Correct |
101 ms |
14620 KB |
Output is correct |
| 83 |
Correct |
116 ms |
19612 KB |
Output is correct |
| 84 |
Correct |
128 ms |
21756 KB |
Output is correct |
| 85 |
Correct |
117 ms |
21488 KB |
Output is correct |
| 86 |
Correct |
123 ms |
15952 KB |
Output is correct |
| 87 |
Correct |
117 ms |
15400 KB |
Output is correct |
| 88 |
Correct |
104 ms |
15808 KB |
Output is correct |
| 89 |
Correct |
122 ms |
15848 KB |
Output is correct |
| 90 |
Correct |
120 ms |
15552 KB |
Output is correct |
| 91 |
Correct |
133 ms |
15792 KB |
Output is correct |
| 92 |
Correct |
102 ms |
16196 KB |
Output is correct |
| 93 |
Correct |
109 ms |
18512 KB |
Output is correct |
| 94 |
Correct |
102 ms |
20292 KB |
Output is correct |
| 95 |
Correct |
94 ms |
18980 KB |
Output is correct |
| 96 |
Correct |
120 ms |
17208 KB |
Output is correct |
| 97 |
Correct |
130 ms |
15640 KB |
Output is correct |
| 98 |
Correct |
101 ms |
15128 KB |
Output is correct |
| 99 |
Correct |
123 ms |
14868 KB |
Output is correct |
| 100 |
Correct |
107 ms |
18056 KB |
Output is correct |
| 101 |
Correct |
120 ms |
16000 KB |
Output is correct |
| 102 |
Correct |
123 ms |
15276 KB |
Output is correct |
| 103 |
Correct |
125 ms |
15140 KB |
Output is correct |
| 104 |
Correct |
63 ms |
15356 KB |
Output is correct |
| 105 |
Correct |
130 ms |
23980 KB |
Output is correct |
| 106 |
Correct |
71 ms |
15268 KB |
Output is correct |
| 107 |
Correct |
73 ms |
15360 KB |
Output is correct |
| 108 |
Correct |
135 ms |
27876 KB |
Output is correct |
| 109 |
Correct |
64 ms |
15412 KB |
Output is correct |
| 110 |
Correct |
147 ms |
28256 KB |
Output is correct |
| 111 |
Correct |
115 ms |
14480 KB |
Output is correct |
