#include<bits/stdc++.h>
using namespace std;
#define fast ios::sync_with_stdio(false);
#define fi first
#define se second
#define em emplace
#define eb emplace_back
#define mp make_pair
#define all(v) (v).begin(), (v).end()
typedef long long ll;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
const int inf = 1e9;
const ll INF = 1e18;
int n, m;
vector<int> g[100010];
int d[100010];
int sp[100010][21];
ll dp[100010];
ll Dp[100010];
vector<pair<pii, int>> qr[100010];
vector<pii> upd[100010];
ll sum[100010][21];
int up[100010][21];
void dfs(int x) {
up[x][0] = x;
for(int i=1; i<=20; i++) {
up[x][i] = up[sp[x][i-1]][i-1];
sp[x][i] = sp[sp[x][i-1]][i-1];
}
for(auto i : g[x]) {
if(i == sp[x][0]) continue;
d[i] = d[x] + 1;
sp[i][0] = x;
dfs(i);
}
}
int lca(int a, int b) {
if(d[a] > d[b]) swap(a, b);
for(int i=20; i>=0; i--) {
if(d[b] - d[a] >= (1<<i)) {
b = sp[b][i];
}
}
if(a == b) return a;
for(int i=20; i>=0; i--) {
if(sp[a][i] != sp[b][i]) {
a = sp[a][i];
b = sp[b][i];
}
}
return sp[a][0];
}
void f(int x) {
for(auto i : g[x]) {
if(i == sp[x][0]) continue;
f(i);
Dp[x] += dp[i];
}
dp[x] = Dp[x];
sum[x][0] = Dp[x];
for(auto i : upd[x]) {
int k = i.fi;
int u = i.se;
sum[u][k] = sum[u][k-1] + sum[sp[u][k-1]][k-1] - dp[up[u][k-1]];
}
for(auto i : qr[x]) {
ll s = i.se;
int u=i.fi.fi, v=i.fi.se;
for(int j=20; j>=0; j--) {
if(d[u] - d[x] >= (1 << j)) {
s -= dp[up[u][j]];
s += sum[u][j];
u = sp[u][j];
}
}
for(int j=20; j>=0; j--) {
if(d[v] - d[x] >= (1 << j)) {
s -= dp[up[v][j]];
s += sum[v][j];
v = sp[v][j];
}
}
s += Dp[x];
dp[x] = max(dp[x], s);
}
}
int main() {
fast;
cin >> n;
for(int i=1; i<n; i++) {
int u, v;
cin >> u >> v;
g[u].eb(v);
g[v].eb(u);
}
dfs(1);
cin >> m;
for(int i=0; i<m; i++) {
int a, b, c;
cin >> a >> b >> c;
if(d[a] > d[b]) swap(a, b);
qr[lca(a, b)].eb(mp(a, b), c);
}
for(int i=1; i<=n; i++) {
for(int j=1; j<=20; j++) {
upd[sp[i][j]].eb(j, i);
}
}
for(int i=1; i<=n; i++) sort(all(upd[i]));
f(1);
cout << dp[1];
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7424 KB |
Output is correct |
2 |
Correct |
5 ms |
7424 KB |
Output is correct |
3 |
Correct |
5 ms |
7424 KB |
Output is correct |
4 |
Correct |
6 ms |
8064 KB |
Output is correct |
5 |
Correct |
228 ms |
62544 KB |
Output is correct |
6 |
Correct |
180 ms |
69840 KB |
Output is correct |
7 |
Correct |
454 ms |
73424 KB |
Output is correct |
8 |
Correct |
146 ms |
61372 KB |
Output is correct |
9 |
Correct |
433 ms |
72540 KB |
Output is correct |
10 |
Correct |
152 ms |
61752 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7424 KB |
Output is correct |
2 |
Correct |
5 ms |
7424 KB |
Output is correct |
3 |
Correct |
7 ms |
8064 KB |
Output is correct |
4 |
Correct |
291 ms |
71768 KB |
Output is correct |
5 |
Correct |
286 ms |
71880 KB |
Output is correct |
6 |
Correct |
258 ms |
71892 KB |
Output is correct |
7 |
Correct |
275 ms |
71892 KB |
Output is correct |
8 |
Correct |
287 ms |
71944 KB |
Output is correct |
9 |
Correct |
256 ms |
71892 KB |
Output is correct |
10 |
Correct |
281 ms |
71896 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7424 KB |
Output is correct |
2 |
Correct |
5 ms |
7424 KB |
Output is correct |
3 |
Correct |
7 ms |
8064 KB |
Output is correct |
4 |
Correct |
291 ms |
71768 KB |
Output is correct |
5 |
Correct |
286 ms |
71880 KB |
Output is correct |
6 |
Correct |
258 ms |
71892 KB |
Output is correct |
7 |
Correct |
275 ms |
71892 KB |
Output is correct |
8 |
Correct |
287 ms |
71944 KB |
Output is correct |
9 |
Correct |
256 ms |
71892 KB |
Output is correct |
10 |
Correct |
281 ms |
71896 KB |
Output is correct |
11 |
Correct |
22 ms |
8576 KB |
Output is correct |
12 |
Correct |
287 ms |
71764 KB |
Output is correct |
13 |
Correct |
286 ms |
72020 KB |
Output is correct |
14 |
Correct |
263 ms |
71896 KB |
Output is correct |
15 |
Correct |
285 ms |
71892 KB |
Output is correct |
16 |
Correct |
258 ms |
71852 KB |
Output is correct |
17 |
Correct |
281 ms |
71900 KB |
Output is correct |
18 |
Correct |
293 ms |
71912 KB |
Output is correct |
19 |
Correct |
260 ms |
71892 KB |
Output is correct |
20 |
Correct |
281 ms |
71900 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
319 ms |
63744 KB |
Output is correct |
2 |
Correct |
261 ms |
71872 KB |
Output is correct |
3 |
Correct |
640 ms |
75092 KB |
Output is correct |
4 |
Correct |
225 ms |
62772 KB |
Output is correct |
5 |
Correct |
564 ms |
74708 KB |
Output is correct |
6 |
Correct |
224 ms |
62916 KB |
Output is correct |
7 |
Correct |
619 ms |
74552 KB |
Output is correct |
8 |
Correct |
305 ms |
64348 KB |
Output is correct |
9 |
Correct |
266 ms |
71892 KB |
Output is correct |
10 |
Correct |
659 ms |
73876 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7424 KB |
Output is correct |
2 |
Correct |
5 ms |
7424 KB |
Output is correct |
3 |
Correct |
5 ms |
7424 KB |
Output is correct |
4 |
Correct |
6 ms |
8064 KB |
Output is correct |
5 |
Correct |
228 ms |
62544 KB |
Output is correct |
6 |
Correct |
180 ms |
69840 KB |
Output is correct |
7 |
Correct |
454 ms |
73424 KB |
Output is correct |
8 |
Correct |
146 ms |
61372 KB |
Output is correct |
9 |
Correct |
433 ms |
72540 KB |
Output is correct |
10 |
Correct |
152 ms |
61752 KB |
Output is correct |
11 |
Correct |
7 ms |
8064 KB |
Output is correct |
12 |
Correct |
7 ms |
8064 KB |
Output is correct |
13 |
Correct |
7 ms |
8064 KB |
Output is correct |
14 |
Correct |
7 ms |
8064 KB |
Output is correct |
15 |
Correct |
7 ms |
8064 KB |
Output is correct |
16 |
Correct |
7 ms |
8064 KB |
Output is correct |
17 |
Correct |
7 ms |
8064 KB |
Output is correct |
18 |
Correct |
7 ms |
8064 KB |
Output is correct |
19 |
Correct |
7 ms |
8064 KB |
Output is correct |
20 |
Correct |
7 ms |
8064 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
7424 KB |
Output is correct |
2 |
Correct |
5 ms |
7424 KB |
Output is correct |
3 |
Correct |
5 ms |
7424 KB |
Output is correct |
4 |
Correct |
6 ms |
8064 KB |
Output is correct |
5 |
Correct |
228 ms |
62544 KB |
Output is correct |
6 |
Correct |
180 ms |
69840 KB |
Output is correct |
7 |
Correct |
454 ms |
73424 KB |
Output is correct |
8 |
Correct |
146 ms |
61372 KB |
Output is correct |
9 |
Correct |
433 ms |
72540 KB |
Output is correct |
10 |
Correct |
152 ms |
61752 KB |
Output is correct |
11 |
Correct |
5 ms |
7424 KB |
Output is correct |
12 |
Correct |
5 ms |
7424 KB |
Output is correct |
13 |
Correct |
7 ms |
8064 KB |
Output is correct |
14 |
Correct |
291 ms |
71768 KB |
Output is correct |
15 |
Correct |
286 ms |
71880 KB |
Output is correct |
16 |
Correct |
258 ms |
71892 KB |
Output is correct |
17 |
Correct |
275 ms |
71892 KB |
Output is correct |
18 |
Correct |
287 ms |
71944 KB |
Output is correct |
19 |
Correct |
256 ms |
71892 KB |
Output is correct |
20 |
Correct |
281 ms |
71896 KB |
Output is correct |
21 |
Correct |
22 ms |
8576 KB |
Output is correct |
22 |
Correct |
287 ms |
71764 KB |
Output is correct |
23 |
Correct |
286 ms |
72020 KB |
Output is correct |
24 |
Correct |
263 ms |
71896 KB |
Output is correct |
25 |
Correct |
285 ms |
71892 KB |
Output is correct |
26 |
Correct |
258 ms |
71852 KB |
Output is correct |
27 |
Correct |
281 ms |
71900 KB |
Output is correct |
28 |
Correct |
293 ms |
71912 KB |
Output is correct |
29 |
Correct |
260 ms |
71892 KB |
Output is correct |
30 |
Correct |
281 ms |
71900 KB |
Output is correct |
31 |
Correct |
319 ms |
63744 KB |
Output is correct |
32 |
Correct |
261 ms |
71872 KB |
Output is correct |
33 |
Correct |
640 ms |
75092 KB |
Output is correct |
34 |
Correct |
225 ms |
62772 KB |
Output is correct |
35 |
Correct |
564 ms |
74708 KB |
Output is correct |
36 |
Correct |
224 ms |
62916 KB |
Output is correct |
37 |
Correct |
619 ms |
74552 KB |
Output is correct |
38 |
Correct |
305 ms |
64348 KB |
Output is correct |
39 |
Correct |
266 ms |
71892 KB |
Output is correct |
40 |
Correct |
659 ms |
73876 KB |
Output is correct |
41 |
Correct |
7 ms |
8064 KB |
Output is correct |
42 |
Correct |
7 ms |
8064 KB |
Output is correct |
43 |
Correct |
7 ms |
8064 KB |
Output is correct |
44 |
Correct |
7 ms |
8064 KB |
Output is correct |
45 |
Correct |
7 ms |
8064 KB |
Output is correct |
46 |
Correct |
7 ms |
8064 KB |
Output is correct |
47 |
Correct |
7 ms |
8064 KB |
Output is correct |
48 |
Correct |
7 ms |
8064 KB |
Output is correct |
49 |
Correct |
7 ms |
8064 KB |
Output is correct |
50 |
Correct |
7 ms |
8064 KB |
Output is correct |
51 |
Correct |
316 ms |
64192 KB |
Output is correct |
52 |
Correct |
291 ms |
71892 KB |
Output is correct |
53 |
Correct |
654 ms |
73872 KB |
Output is correct |
54 |
Correct |
224 ms |
63104 KB |
Output is correct |
55 |
Correct |
319 ms |
63736 KB |
Output is correct |
56 |
Correct |
289 ms |
72020 KB |
Output is correct |
57 |
Correct |
570 ms |
74324 KB |
Output is correct |
58 |
Correct |
228 ms |
62972 KB |
Output is correct |
59 |
Correct |
314 ms |
64200 KB |
Output is correct |
60 |
Correct |
294 ms |
72004 KB |
Output is correct |
61 |
Correct |
582 ms |
74488 KB |
Output is correct |
62 |
Correct |
224 ms |
62940 KB |
Output is correct |
63 |
Correct |
331 ms |
63924 KB |
Output is correct |
64 |
Correct |
293 ms |
72020 KB |
Output is correct |
65 |
Correct |
654 ms |
74264 KB |
Output is correct |
66 |
Correct |
223 ms |
63364 KB |
Output is correct |
67 |
Correct |
312 ms |
63676 KB |
Output is correct |
68 |
Correct |
286 ms |
71896 KB |
Output is correct |
69 |
Correct |
576 ms |
73688 KB |
Output is correct |
70 |
Correct |
229 ms |
63528 KB |
Output is correct |