#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define sp ' '
#define en '\n'
#define smin(a, b) a = min(a, b)
#define smax(a, b) a = max(a, b)
using namespace std;
const int N = 1e5 + 2;
const int inf = 2e9;
vector<int> g[N];
int par[N][17], in[N], out[N], tsz;
void Dfs(int s, int e) {
in[s] = ++tsz;
par[s][0] = e;
for (int i = 1; i < 17; i++) par[s][i] = par[par[s][i - 1]][i - 1];
for (int u : g[s]) {
if (u != e) Dfs(u, s);
}
out[s] = ++tsz;
}
bool Ancestor(int u, int v) {
return in[u] <= in[v] && out[v] <= out[u];
}
int Lca(int u, int v) {
if (Ancestor(u, v)) return u;
if (Ancestor(v, u)) return v;
for (int i = 16; i >= 0; i--) {
if (par[u][i] && !Ancestor(par[u][i], v)) u = par[u][i];
}
return par[u][0];
}
ll dp[N], sum[N];
vector<array<int, 3>> paths[N];
struct fenwick {
ll bit[2 * N];
void Add(int x, ll v) {
for (; x < 2 * N; x += x & (-x)) bit[x] += v;
}
ll P(int x) {
ll ans = 0;
for (; x > 0; x -= x & (-x)) ans += bit[x];
return ans;
}
ll Get(int l, int r) {
if (l > r) return 0;
return P(r) - P(l - 1);
}
}f1, f2;
void Dfs1(int s, int e) {
for (int u : g[s]) {
if (u == e) continue;
Dfs1(u, s);
sum[s] += dp[u];
}
dp[s] = sum[s];
f1.Add(in[s], sum[s]); f1.Add(out[s], -sum[s]);
for (auto u : paths[s]) {
int a = u[0]; int b = u[1]; int c = u[2];
smax(dp[s], f1.Get(in[s], in[a]) + f1.Get(in[s] + 1, in[b]) - f2.Get(in[s] + 1, in[a]) - f2.Get(in[s] + 1, in[b]) + c);
}
f2.Add(in[s], dp[s]); f2.Add(out[s], -dp[s]);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n; cin >> n;
for (int i = 0; i < n - 1; i++) {
int u, v;
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
Dfs(1, 0);
int m; cin >> m;
for (int i = 0; i < m; i++) {
int a, b, c;
cin >> a >> b >> c;
paths[Lca(a, b)].push_back({a, b, c});
}
Dfs1(1, 0);
cout << dp[1] << en;
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5076 KB |
Output is correct |
2 |
Correct |
3 ms |
5040 KB |
Output is correct |
3 |
Correct |
3 ms |
5040 KB |
Output is correct |
4 |
Correct |
3 ms |
5168 KB |
Output is correct |
5 |
Correct |
92 ms |
21572 KB |
Output is correct |
6 |
Correct |
56 ms |
29160 KB |
Output is correct |
7 |
Correct |
83 ms |
26516 KB |
Output is correct |
8 |
Correct |
70 ms |
21140 KB |
Output is correct |
9 |
Correct |
78 ms |
24948 KB |
Output is correct |
10 |
Correct |
63 ms |
21168 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5076 KB |
Output is correct |
2 |
Correct |
3 ms |
5076 KB |
Output is correct |
3 |
Correct |
5 ms |
5332 KB |
Output is correct |
4 |
Correct |
85 ms |
32480 KB |
Output is correct |
5 |
Correct |
93 ms |
32528 KB |
Output is correct |
6 |
Correct |
81 ms |
32552 KB |
Output is correct |
7 |
Correct |
84 ms |
32528 KB |
Output is correct |
8 |
Correct |
85 ms |
32572 KB |
Output is correct |
9 |
Correct |
82 ms |
32496 KB |
Output is correct |
10 |
Correct |
87 ms |
32604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5076 KB |
Output is correct |
2 |
Correct |
3 ms |
5076 KB |
Output is correct |
3 |
Correct |
5 ms |
5332 KB |
Output is correct |
4 |
Correct |
85 ms |
32480 KB |
Output is correct |
5 |
Correct |
93 ms |
32528 KB |
Output is correct |
6 |
Correct |
81 ms |
32552 KB |
Output is correct |
7 |
Correct |
84 ms |
32528 KB |
Output is correct |
8 |
Correct |
85 ms |
32572 KB |
Output is correct |
9 |
Correct |
82 ms |
32496 KB |
Output is correct |
10 |
Correct |
87 ms |
32604 KB |
Output is correct |
11 |
Correct |
9 ms |
6100 KB |
Output is correct |
12 |
Correct |
90 ms |
32788 KB |
Output is correct |
13 |
Correct |
89 ms |
32836 KB |
Output is correct |
14 |
Correct |
91 ms |
32752 KB |
Output is correct |
15 |
Correct |
89 ms |
32768 KB |
Output is correct |
16 |
Correct |
85 ms |
32856 KB |
Output is correct |
17 |
Correct |
86 ms |
32744 KB |
Output is correct |
18 |
Correct |
85 ms |
32844 KB |
Output is correct |
19 |
Correct |
98 ms |
32816 KB |
Output is correct |
20 |
Correct |
89 ms |
32844 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
128 ms |
24324 KB |
Output is correct |
2 |
Correct |
82 ms |
32536 KB |
Output is correct |
3 |
Correct |
148 ms |
29476 KB |
Output is correct |
4 |
Correct |
102 ms |
24040 KB |
Output is correct |
5 |
Correct |
141 ms |
28936 KB |
Output is correct |
6 |
Correct |
111 ms |
24056 KB |
Output is correct |
7 |
Correct |
177 ms |
28616 KB |
Output is correct |
8 |
Correct |
131 ms |
24616 KB |
Output is correct |
9 |
Correct |
85 ms |
32544 KB |
Output is correct |
10 |
Correct |
146 ms |
27612 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5076 KB |
Output is correct |
2 |
Correct |
3 ms |
5040 KB |
Output is correct |
3 |
Correct |
3 ms |
5040 KB |
Output is correct |
4 |
Correct |
3 ms |
5168 KB |
Output is correct |
5 |
Correct |
92 ms |
21572 KB |
Output is correct |
6 |
Correct |
56 ms |
29160 KB |
Output is correct |
7 |
Correct |
83 ms |
26516 KB |
Output is correct |
8 |
Correct |
70 ms |
21140 KB |
Output is correct |
9 |
Correct |
78 ms |
24948 KB |
Output is correct |
10 |
Correct |
63 ms |
21168 KB |
Output is correct |
11 |
Correct |
3 ms |
5204 KB |
Output is correct |
12 |
Correct |
3 ms |
5372 KB |
Output is correct |
13 |
Correct |
4 ms |
5332 KB |
Output is correct |
14 |
Correct |
5 ms |
5308 KB |
Output is correct |
15 |
Correct |
3 ms |
5204 KB |
Output is correct |
16 |
Correct |
4 ms |
5332 KB |
Output is correct |
17 |
Correct |
4 ms |
5204 KB |
Output is correct |
18 |
Correct |
4 ms |
5308 KB |
Output is correct |
19 |
Correct |
4 ms |
5308 KB |
Output is correct |
20 |
Correct |
4 ms |
5308 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
5076 KB |
Output is correct |
2 |
Correct |
3 ms |
5040 KB |
Output is correct |
3 |
Correct |
3 ms |
5040 KB |
Output is correct |
4 |
Correct |
3 ms |
5168 KB |
Output is correct |
5 |
Correct |
92 ms |
21572 KB |
Output is correct |
6 |
Correct |
56 ms |
29160 KB |
Output is correct |
7 |
Correct |
83 ms |
26516 KB |
Output is correct |
8 |
Correct |
70 ms |
21140 KB |
Output is correct |
9 |
Correct |
78 ms |
24948 KB |
Output is correct |
10 |
Correct |
63 ms |
21168 KB |
Output is correct |
11 |
Correct |
3 ms |
5076 KB |
Output is correct |
12 |
Correct |
3 ms |
5076 KB |
Output is correct |
13 |
Correct |
5 ms |
5332 KB |
Output is correct |
14 |
Correct |
85 ms |
32480 KB |
Output is correct |
15 |
Correct |
93 ms |
32528 KB |
Output is correct |
16 |
Correct |
81 ms |
32552 KB |
Output is correct |
17 |
Correct |
84 ms |
32528 KB |
Output is correct |
18 |
Correct |
85 ms |
32572 KB |
Output is correct |
19 |
Correct |
82 ms |
32496 KB |
Output is correct |
20 |
Correct |
87 ms |
32604 KB |
Output is correct |
21 |
Correct |
9 ms |
6100 KB |
Output is correct |
22 |
Correct |
90 ms |
32788 KB |
Output is correct |
23 |
Correct |
89 ms |
32836 KB |
Output is correct |
24 |
Correct |
91 ms |
32752 KB |
Output is correct |
25 |
Correct |
89 ms |
32768 KB |
Output is correct |
26 |
Correct |
85 ms |
32856 KB |
Output is correct |
27 |
Correct |
86 ms |
32744 KB |
Output is correct |
28 |
Correct |
85 ms |
32844 KB |
Output is correct |
29 |
Correct |
98 ms |
32816 KB |
Output is correct |
30 |
Correct |
89 ms |
32844 KB |
Output is correct |
31 |
Correct |
128 ms |
24324 KB |
Output is correct |
32 |
Correct |
82 ms |
32536 KB |
Output is correct |
33 |
Correct |
148 ms |
29476 KB |
Output is correct |
34 |
Correct |
102 ms |
24040 KB |
Output is correct |
35 |
Correct |
141 ms |
28936 KB |
Output is correct |
36 |
Correct |
111 ms |
24056 KB |
Output is correct |
37 |
Correct |
177 ms |
28616 KB |
Output is correct |
38 |
Correct |
131 ms |
24616 KB |
Output is correct |
39 |
Correct |
85 ms |
32544 KB |
Output is correct |
40 |
Correct |
146 ms |
27612 KB |
Output is correct |
41 |
Correct |
3 ms |
5204 KB |
Output is correct |
42 |
Correct |
3 ms |
5372 KB |
Output is correct |
43 |
Correct |
4 ms |
5332 KB |
Output is correct |
44 |
Correct |
5 ms |
5308 KB |
Output is correct |
45 |
Correct |
3 ms |
5204 KB |
Output is correct |
46 |
Correct |
4 ms |
5332 KB |
Output is correct |
47 |
Correct |
4 ms |
5204 KB |
Output is correct |
48 |
Correct |
4 ms |
5308 KB |
Output is correct |
49 |
Correct |
4 ms |
5308 KB |
Output is correct |
50 |
Correct |
4 ms |
5308 KB |
Output is correct |
51 |
Correct |
141 ms |
24880 KB |
Output is correct |
52 |
Correct |
85 ms |
32840 KB |
Output is correct |
53 |
Correct |
155 ms |
28200 KB |
Output is correct |
54 |
Correct |
101 ms |
24316 KB |
Output is correct |
55 |
Correct |
129 ms |
24644 KB |
Output is correct |
56 |
Correct |
95 ms |
32748 KB |
Output is correct |
57 |
Correct |
139 ms |
28816 KB |
Output is correct |
58 |
Correct |
102 ms |
24224 KB |
Output is correct |
59 |
Correct |
134 ms |
24820 KB |
Output is correct |
60 |
Correct |
85 ms |
32732 KB |
Output is correct |
61 |
Correct |
150 ms |
28856 KB |
Output is correct |
62 |
Correct |
109 ms |
24020 KB |
Output is correct |
63 |
Correct |
136 ms |
24516 KB |
Output is correct |
64 |
Correct |
89 ms |
32788 KB |
Output is correct |
65 |
Correct |
152 ms |
28652 KB |
Output is correct |
66 |
Correct |
103 ms |
24356 KB |
Output is correct |
67 |
Correct |
131 ms |
24484 KB |
Output is correct |
68 |
Correct |
92 ms |
32808 KB |
Output is correct |
69 |
Correct |
134 ms |
27592 KB |
Output is correct |
70 |
Correct |
105 ms |
24456 KB |
Output is correct |