#include <bits/stdc++.h>
using namespace std;
#define int long long
#define all(x) x.begin(), x.end()
#define size(x) (int)x.size()
template<class S, class T>
bool chmin(S &a, const T &b) {
return a > b && (a = b) == b;
}
template<class S, class T>
bool chmax(S &a, const T &b) {
return a < b && (a = b) == b;
}
const int inf = 1e9 + 7;
const int INF = 1e18 + 7;
const int mod = 998244353;
const int N = 1e5 + 1;
struct Fenwick {
int n;
vector<int> t;
void build(int n) {
this->n = n;
t.assign(n + 1, 0);
}
void upd(int i, int x) {
for (; i <= n; i += i & -i) {
t[i] += x;
}
}
int sum(int i) {
int res = 0;
for (; i > 0; i -= i & -i) {
res += t[i];
}
return res;
} int get(int l, int r) {
return sum(r) - sum(l - 1);
}
};
int position, timer, up[N][17];
vector<int> g[N], sub(N), heavy(N), head(N), pos(N), dp(N), tin(N), tout(N), depth(N);
vector<array<int, 3>> path[N];
vector<Fenwick> t(2);
void dfs(int v, int p) {
tin[v] = ++timer;
sub[v] = 1;
up[v][0] = p;
for (int i = 1; i < 17; ++i) {
up[v][i] = up[up[v][i - 1]][i - 1];
}
for (int to : g[v]) {
if (to != p) {
depth[to] = depth[v] + 1;
dfs(to, v);
sub[v] += sub[to];
}
}
for (int to : g[v]) {
if (to != p && sub[to] * 2 >= sub[v]) {
heavy[v] = to;
}
}
tout[v] = ++timer;
}
void decompose(int v, int p, int h) {
head[v] = h;
pos[v] = ++position;
if (heavy[v]) {
decompose(heavy[v], v, h);
}
for (int to : g[v]) {
if (to != p && to != heavy[v]) {
decompose(to, v, to);
}
}
}
bool upper(int u, int v) {
return tin[u] <= tin[v] && tout[u] >= tout[v];
}
int lca(int u, int v) {
if (upper(u, v)) {
return u;
}
if (upper(v, u)) {
return v;
}
for (int i = 16; i >= 0; --i) {
if (!upper(up[u][i], v)) {
u = up[u][i];
}
}
return up[u][0];
}
int count(int a, int b, int i) {
int res = 0;
while (head[a] != head[b]) {
if (depth[b] > depth[a]) {
swap(a, b);
}
res += t[i].get(pos[head[a]], pos[a]);
a = up[head[a]][0];
}
if (depth[b] > depth[a]) {
swap(a, b);
}
res += t[i].get(pos[b], pos[a]);
return res;
}
void count_dp(int v, int p) {
int sum = 0;
for (int to : g[v]) {
if (to != p) {
count_dp(to, v);
sum += dp[to];
}
}
dp[v] = sum;
for (auto [a, b, c] : path[v]) {
chmax(dp[v], count(a, b, 0) - count(a, b, 1) + sum + c);
}
t[0].upd(pos[v], sum);
t[1].upd(pos[v], dp[v]);
}
signed main() {
cin.tie(nullptr)->sync_with_stdio(false);
int n;
cin >> n;
t[0].build(n), t[1].build(n);
for (int i = 1; i < n; ++i) {
int a, b;
cin >> a >> b;
g[a].push_back(b);
g[b].push_back(a);
}
dfs(1, 1);
decompose(1, -1, 1);
int m;
cin >> m;
for (int i = 0; i < m; ++i) {
int a, b, c;
cin >> a >> b >> c;
path[lca(a, b)].push_back({a, b, c});
}
count_dp(1, 1);
cout << dp[1];
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
12892 KB |
Output is correct |
2 |
Correct |
5 ms |
13096 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
4 ms |
13148 KB |
Output is correct |
5 |
Correct |
79 ms |
31392 KB |
Output is correct |
6 |
Correct |
50 ms |
38412 KB |
Output is correct |
7 |
Correct |
85 ms |
35924 KB |
Output is correct |
8 |
Correct |
49 ms |
31324 KB |
Output is correct |
9 |
Correct |
65 ms |
34384 KB |
Output is correct |
10 |
Correct |
45 ms |
31324 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
12888 KB |
Output is correct |
2 |
Correct |
5 ms |
12888 KB |
Output is correct |
3 |
Correct |
4 ms |
13148 KB |
Output is correct |
4 |
Correct |
76 ms |
43028 KB |
Output is correct |
5 |
Correct |
72 ms |
43092 KB |
Output is correct |
6 |
Correct |
75 ms |
43280 KB |
Output is correct |
7 |
Correct |
74 ms |
43184 KB |
Output is correct |
8 |
Correct |
74 ms |
43088 KB |
Output is correct |
9 |
Correct |
70 ms |
43088 KB |
Output is correct |
10 |
Correct |
73 ms |
43020 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
12888 KB |
Output is correct |
2 |
Correct |
5 ms |
12888 KB |
Output is correct |
3 |
Correct |
4 ms |
13148 KB |
Output is correct |
4 |
Correct |
76 ms |
43028 KB |
Output is correct |
5 |
Correct |
72 ms |
43092 KB |
Output is correct |
6 |
Correct |
75 ms |
43280 KB |
Output is correct |
7 |
Correct |
74 ms |
43184 KB |
Output is correct |
8 |
Correct |
74 ms |
43088 KB |
Output is correct |
9 |
Correct |
70 ms |
43088 KB |
Output is correct |
10 |
Correct |
73 ms |
43020 KB |
Output is correct |
11 |
Correct |
10 ms |
14428 KB |
Output is correct |
12 |
Correct |
78 ms |
43304 KB |
Output is correct |
13 |
Correct |
76 ms |
43340 KB |
Output is correct |
14 |
Correct |
72 ms |
43364 KB |
Output is correct |
15 |
Correct |
75 ms |
43348 KB |
Output is correct |
16 |
Correct |
73 ms |
43508 KB |
Output is correct |
17 |
Correct |
80 ms |
43432 KB |
Output is correct |
18 |
Correct |
74 ms |
43328 KB |
Output is correct |
19 |
Correct |
75 ms |
43396 KB |
Output is correct |
20 |
Correct |
75 ms |
43548 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
182 ms |
35404 KB |
Output is correct |
2 |
Correct |
70 ms |
43048 KB |
Output is correct |
3 |
Correct |
138 ms |
40508 KB |
Output is correct |
4 |
Correct |
116 ms |
35844 KB |
Output is correct |
5 |
Correct |
127 ms |
39820 KB |
Output is correct |
6 |
Correct |
106 ms |
35876 KB |
Output is correct |
7 |
Correct |
169 ms |
39404 KB |
Output is correct |
8 |
Correct |
143 ms |
35500 KB |
Output is correct |
9 |
Correct |
71 ms |
43092 KB |
Output is correct |
10 |
Correct |
183 ms |
38436 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
12892 KB |
Output is correct |
2 |
Correct |
5 ms |
13096 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
4 ms |
13148 KB |
Output is correct |
5 |
Correct |
79 ms |
31392 KB |
Output is correct |
6 |
Correct |
50 ms |
38412 KB |
Output is correct |
7 |
Correct |
85 ms |
35924 KB |
Output is correct |
8 |
Correct |
49 ms |
31324 KB |
Output is correct |
9 |
Correct |
65 ms |
34384 KB |
Output is correct |
10 |
Correct |
45 ms |
31324 KB |
Output is correct |
11 |
Correct |
4 ms |
13148 KB |
Output is correct |
12 |
Correct |
4 ms |
13268 KB |
Output is correct |
13 |
Correct |
4 ms |
13148 KB |
Output is correct |
14 |
Correct |
5 ms |
13144 KB |
Output is correct |
15 |
Correct |
5 ms |
13148 KB |
Output is correct |
16 |
Correct |
5 ms |
13108 KB |
Output is correct |
17 |
Correct |
5 ms |
13148 KB |
Output is correct |
18 |
Correct |
5 ms |
13148 KB |
Output is correct |
19 |
Correct |
4 ms |
13148 KB |
Output is correct |
20 |
Correct |
4 ms |
13148 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
12892 KB |
Output is correct |
2 |
Correct |
5 ms |
13096 KB |
Output is correct |
3 |
Correct |
4 ms |
12892 KB |
Output is correct |
4 |
Correct |
4 ms |
13148 KB |
Output is correct |
5 |
Correct |
79 ms |
31392 KB |
Output is correct |
6 |
Correct |
50 ms |
38412 KB |
Output is correct |
7 |
Correct |
85 ms |
35924 KB |
Output is correct |
8 |
Correct |
49 ms |
31324 KB |
Output is correct |
9 |
Correct |
65 ms |
34384 KB |
Output is correct |
10 |
Correct |
45 ms |
31324 KB |
Output is correct |
11 |
Correct |
4 ms |
12888 KB |
Output is correct |
12 |
Correct |
5 ms |
12888 KB |
Output is correct |
13 |
Correct |
4 ms |
13148 KB |
Output is correct |
14 |
Correct |
76 ms |
43028 KB |
Output is correct |
15 |
Correct |
72 ms |
43092 KB |
Output is correct |
16 |
Correct |
75 ms |
43280 KB |
Output is correct |
17 |
Correct |
74 ms |
43184 KB |
Output is correct |
18 |
Correct |
74 ms |
43088 KB |
Output is correct |
19 |
Correct |
70 ms |
43088 KB |
Output is correct |
20 |
Correct |
73 ms |
43020 KB |
Output is correct |
21 |
Correct |
10 ms |
14428 KB |
Output is correct |
22 |
Correct |
78 ms |
43304 KB |
Output is correct |
23 |
Correct |
76 ms |
43340 KB |
Output is correct |
24 |
Correct |
72 ms |
43364 KB |
Output is correct |
25 |
Correct |
75 ms |
43348 KB |
Output is correct |
26 |
Correct |
73 ms |
43508 KB |
Output is correct |
27 |
Correct |
80 ms |
43432 KB |
Output is correct |
28 |
Correct |
74 ms |
43328 KB |
Output is correct |
29 |
Correct |
75 ms |
43396 KB |
Output is correct |
30 |
Correct |
75 ms |
43548 KB |
Output is correct |
31 |
Correct |
182 ms |
35404 KB |
Output is correct |
32 |
Correct |
70 ms |
43048 KB |
Output is correct |
33 |
Correct |
138 ms |
40508 KB |
Output is correct |
34 |
Correct |
116 ms |
35844 KB |
Output is correct |
35 |
Correct |
127 ms |
39820 KB |
Output is correct |
36 |
Correct |
106 ms |
35876 KB |
Output is correct |
37 |
Correct |
169 ms |
39404 KB |
Output is correct |
38 |
Correct |
143 ms |
35500 KB |
Output is correct |
39 |
Correct |
71 ms |
43092 KB |
Output is correct |
40 |
Correct |
183 ms |
38436 KB |
Output is correct |
41 |
Correct |
4 ms |
13148 KB |
Output is correct |
42 |
Correct |
4 ms |
13268 KB |
Output is correct |
43 |
Correct |
4 ms |
13148 KB |
Output is correct |
44 |
Correct |
5 ms |
13144 KB |
Output is correct |
45 |
Correct |
5 ms |
13148 KB |
Output is correct |
46 |
Correct |
5 ms |
13108 KB |
Output is correct |
47 |
Correct |
5 ms |
13148 KB |
Output is correct |
48 |
Correct |
5 ms |
13148 KB |
Output is correct |
49 |
Correct |
4 ms |
13148 KB |
Output is correct |
50 |
Correct |
4 ms |
13148 KB |
Output is correct |
51 |
Correct |
145 ms |
35728 KB |
Output is correct |
52 |
Correct |
75 ms |
43348 KB |
Output is correct |
53 |
Correct |
162 ms |
38756 KB |
Output is correct |
54 |
Correct |
97 ms |
36048 KB |
Output is correct |
55 |
Correct |
196 ms |
35652 KB |
Output is correct |
56 |
Correct |
75 ms |
43420 KB |
Output is correct |
57 |
Correct |
134 ms |
39508 KB |
Output is correct |
58 |
Correct |
106 ms |
35848 KB |
Output is correct |
59 |
Correct |
139 ms |
35844 KB |
Output is correct |
60 |
Correct |
74 ms |
43348 KB |
Output is correct |
61 |
Correct |
154 ms |
40024 KB |
Output is correct |
62 |
Correct |
113 ms |
36308 KB |
Output is correct |
63 |
Correct |
236 ms |
35696 KB |
Output is correct |
64 |
Correct |
74 ms |
43308 KB |
Output is correct |
65 |
Correct |
142 ms |
40088 KB |
Output is correct |
66 |
Correct |
99 ms |
35716 KB |
Output is correct |
67 |
Correct |
230 ms |
36352 KB |
Output is correct |
68 |
Correct |
92 ms |
43600 KB |
Output is correct |
69 |
Correct |
124 ms |
38544 KB |
Output is correct |
70 |
Correct |
106 ms |
36224 KB |
Output is correct |