#include <bits/stdc++.h>
using namespace std;
struct path{
int a, b, c;
};
#define pb push_back
#define F first
#define S second
const int N = 1e5+3;
vector<int> adj[N];
int tin[N], tout[N], h[N];
vector<path> pth[N];
int p[N][18];
int timer=1;
int dp[N][2];
int f[2*N];
void dfs(int v, int par){
h[v]=h[par]+1;
tin[v]=timer++;
p[v][0]=par;
for(int i=1; i<18; i++){
p[v][i]=p[p[v][i-1]][i-1];
}
for(int to : adj[v]){
if(to!=par){
dfs(to, v);
}
}
tout[v]=timer++;
}
bool anc(int a, int b){
if(tin[a]<=tin[b] && tout[a]>=tout[b])return 1;
return 0;
}
int lca(int a, int b){
if(anc(a, b))return a;
if(anc(b, a))return b;
for(int i=17; i>=0; i--){
if(!anc(p[a][i], b)){
a=p[a][i];
}
}
return p[a][0];
}
void Update(int ind, int add){
for(int i=ind; i<2*N; i+=i&-i)f[i]+=add;
}
int Get(int ind){
int ret=0;
for(int i = ind; i>0; i-=i&-i)ret+=f[i];
return ret;
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
int n, m;
cin >> n;
for(int i=0; i< n-1; i++){
int a, b;
cin >> a >> b;
adj[a].pb(b);
adj[b].pb(a);
}
dfs(1, 1);
cin >> m;
for(int i=0; i< m; i++){
int a, b, c;
cin >> a >> b >> c;
pth[lca(a, b)].pb({a, b, c});
}
pair<int, int> order[n];
for(int i=0; i< n; i++){
order[i]={h[i+1], i+1};
}
sort(order, order+n);
reverse(order, order+n);
for(int i=0; i< n; i++){
int node=order[i].S;
for(int to : adj[node]){
if(to!=p[node][0]){
dp[node][0]+=dp[to][1];
}
}
dp[node][1]=dp[node][0];
for(path pt : pth[node]){
dp[node][1]=max(dp[node][1], dp[node][0]+Get(tin[pt.a])+Get(tin[pt.b])-2*Get(tin[node])+pt.c);
}
Update(tin[node], dp[node][0]-dp[node][1]);
Update(tout[node], dp[node][1]-dp[node][0]);
}
cout << dp[1][1] << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
8536 KB |
Output is correct |
2 |
Correct |
2 ms |
8540 KB |
Output is correct |
3 |
Correct |
3 ms |
8540 KB |
Output is correct |
4 |
Correct |
2 ms |
8540 KB |
Output is correct |
5 |
Correct |
60 ms |
20052 KB |
Output is correct |
6 |
Correct |
45 ms |
23892 KB |
Output is correct |
7 |
Correct |
92 ms |
22096 KB |
Output is correct |
8 |
Correct |
48 ms |
20316 KB |
Output is correct |
9 |
Correct |
56 ms |
21252 KB |
Output is correct |
10 |
Correct |
59 ms |
20388 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
2 ms |
8540 KB |
Output is correct |
3 |
Correct |
2 ms |
8540 KB |
Output is correct |
4 |
Correct |
77 ms |
27100 KB |
Output is correct |
5 |
Correct |
60 ms |
27212 KB |
Output is correct |
6 |
Correct |
62 ms |
27216 KB |
Output is correct |
7 |
Correct |
70 ms |
27352 KB |
Output is correct |
8 |
Correct |
60 ms |
27072 KB |
Output is correct |
9 |
Correct |
61 ms |
27068 KB |
Output is correct |
10 |
Correct |
61 ms |
27048 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
8540 KB |
Output is correct |
2 |
Correct |
2 ms |
8540 KB |
Output is correct |
3 |
Correct |
2 ms |
8540 KB |
Output is correct |
4 |
Correct |
77 ms |
27100 KB |
Output is correct |
5 |
Correct |
60 ms |
27212 KB |
Output is correct |
6 |
Correct |
62 ms |
27216 KB |
Output is correct |
7 |
Correct |
70 ms |
27352 KB |
Output is correct |
8 |
Correct |
60 ms |
27072 KB |
Output is correct |
9 |
Correct |
61 ms |
27068 KB |
Output is correct |
10 |
Correct |
61 ms |
27048 KB |
Output is correct |
11 |
Correct |
9 ms |
9308 KB |
Output is correct |
12 |
Correct |
72 ms |
27316 KB |
Output is correct |
13 |
Correct |
64 ms |
27476 KB |
Output is correct |
14 |
Correct |
62 ms |
27432 KB |
Output is correct |
15 |
Correct |
65 ms |
27476 KB |
Output is correct |
16 |
Correct |
61 ms |
27424 KB |
Output is correct |
17 |
Correct |
72 ms |
27244 KB |
Output is correct |
18 |
Correct |
69 ms |
27472 KB |
Output is correct |
19 |
Correct |
66 ms |
27340 KB |
Output is correct |
20 |
Correct |
61 ms |
27472 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
98 ms |
22796 KB |
Output is correct |
2 |
Correct |
78 ms |
27204 KB |
Output is correct |
3 |
Correct |
100 ms |
25172 KB |
Output is correct |
4 |
Correct |
92 ms |
23368 KB |
Output is correct |
5 |
Correct |
90 ms |
24912 KB |
Output is correct |
6 |
Correct |
82 ms |
23364 KB |
Output is correct |
7 |
Correct |
115 ms |
24684 KB |
Output is correct |
8 |
Correct |
115 ms |
23436 KB |
Output is correct |
9 |
Correct |
60 ms |
27100 KB |
Output is correct |
10 |
Correct |
120 ms |
24324 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
8536 KB |
Output is correct |
2 |
Correct |
2 ms |
8540 KB |
Output is correct |
3 |
Correct |
3 ms |
8540 KB |
Output is correct |
4 |
Correct |
2 ms |
8540 KB |
Output is correct |
5 |
Correct |
60 ms |
20052 KB |
Output is correct |
6 |
Correct |
45 ms |
23892 KB |
Output is correct |
7 |
Correct |
92 ms |
22096 KB |
Output is correct |
8 |
Correct |
48 ms |
20316 KB |
Output is correct |
9 |
Correct |
56 ms |
21252 KB |
Output is correct |
10 |
Correct |
59 ms |
20388 KB |
Output is correct |
11 |
Correct |
3 ms |
8536 KB |
Output is correct |
12 |
Correct |
3 ms |
8540 KB |
Output is correct |
13 |
Correct |
4 ms |
8540 KB |
Output is correct |
14 |
Correct |
3 ms |
8540 KB |
Output is correct |
15 |
Correct |
3 ms |
8540 KB |
Output is correct |
16 |
Correct |
3 ms |
8540 KB |
Output is correct |
17 |
Correct |
3 ms |
8540 KB |
Output is correct |
18 |
Correct |
3 ms |
8540 KB |
Output is correct |
19 |
Correct |
3 ms |
8668 KB |
Output is correct |
20 |
Correct |
3 ms |
8540 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
4 ms |
8536 KB |
Output is correct |
2 |
Correct |
2 ms |
8540 KB |
Output is correct |
3 |
Correct |
3 ms |
8540 KB |
Output is correct |
4 |
Correct |
2 ms |
8540 KB |
Output is correct |
5 |
Correct |
60 ms |
20052 KB |
Output is correct |
6 |
Correct |
45 ms |
23892 KB |
Output is correct |
7 |
Correct |
92 ms |
22096 KB |
Output is correct |
8 |
Correct |
48 ms |
20316 KB |
Output is correct |
9 |
Correct |
56 ms |
21252 KB |
Output is correct |
10 |
Correct |
59 ms |
20388 KB |
Output is correct |
11 |
Correct |
2 ms |
8540 KB |
Output is correct |
12 |
Correct |
2 ms |
8540 KB |
Output is correct |
13 |
Correct |
2 ms |
8540 KB |
Output is correct |
14 |
Correct |
77 ms |
27100 KB |
Output is correct |
15 |
Correct |
60 ms |
27212 KB |
Output is correct |
16 |
Correct |
62 ms |
27216 KB |
Output is correct |
17 |
Correct |
70 ms |
27352 KB |
Output is correct |
18 |
Correct |
60 ms |
27072 KB |
Output is correct |
19 |
Correct |
61 ms |
27068 KB |
Output is correct |
20 |
Correct |
61 ms |
27048 KB |
Output is correct |
21 |
Correct |
9 ms |
9308 KB |
Output is correct |
22 |
Correct |
72 ms |
27316 KB |
Output is correct |
23 |
Correct |
64 ms |
27476 KB |
Output is correct |
24 |
Correct |
62 ms |
27432 KB |
Output is correct |
25 |
Correct |
65 ms |
27476 KB |
Output is correct |
26 |
Correct |
61 ms |
27424 KB |
Output is correct |
27 |
Correct |
72 ms |
27244 KB |
Output is correct |
28 |
Correct |
69 ms |
27472 KB |
Output is correct |
29 |
Correct |
66 ms |
27340 KB |
Output is correct |
30 |
Correct |
61 ms |
27472 KB |
Output is correct |
31 |
Correct |
98 ms |
22796 KB |
Output is correct |
32 |
Correct |
78 ms |
27204 KB |
Output is correct |
33 |
Correct |
100 ms |
25172 KB |
Output is correct |
34 |
Correct |
92 ms |
23368 KB |
Output is correct |
35 |
Correct |
90 ms |
24912 KB |
Output is correct |
36 |
Correct |
82 ms |
23364 KB |
Output is correct |
37 |
Correct |
115 ms |
24684 KB |
Output is correct |
38 |
Correct |
115 ms |
23436 KB |
Output is correct |
39 |
Correct |
60 ms |
27100 KB |
Output is correct |
40 |
Correct |
120 ms |
24324 KB |
Output is correct |
41 |
Correct |
3 ms |
8536 KB |
Output is correct |
42 |
Correct |
3 ms |
8540 KB |
Output is correct |
43 |
Correct |
4 ms |
8540 KB |
Output is correct |
44 |
Correct |
3 ms |
8540 KB |
Output is correct |
45 |
Correct |
3 ms |
8540 KB |
Output is correct |
46 |
Correct |
3 ms |
8540 KB |
Output is correct |
47 |
Correct |
3 ms |
8540 KB |
Output is correct |
48 |
Correct |
3 ms |
8540 KB |
Output is correct |
49 |
Correct |
3 ms |
8668 KB |
Output is correct |
50 |
Correct |
3 ms |
8540 KB |
Output is correct |
51 |
Correct |
141 ms |
23376 KB |
Output is correct |
52 |
Correct |
67 ms |
27476 KB |
Output is correct |
53 |
Correct |
103 ms |
24328 KB |
Output is correct |
54 |
Correct |
86 ms |
23424 KB |
Output is correct |
55 |
Correct |
96 ms |
23052 KB |
Output is correct |
56 |
Correct |
64 ms |
27284 KB |
Output is correct |
57 |
Correct |
95 ms |
24900 KB |
Output is correct |
58 |
Correct |
91 ms |
23460 KB |
Output is correct |
59 |
Correct |
105 ms |
23492 KB |
Output is correct |
60 |
Correct |
64 ms |
27468 KB |
Output is correct |
61 |
Correct |
107 ms |
25256 KB |
Output is correct |
62 |
Correct |
84 ms |
23316 KB |
Output is correct |
63 |
Correct |
109 ms |
23056 KB |
Output is correct |
64 |
Correct |
64 ms |
27408 KB |
Output is correct |
65 |
Correct |
111 ms |
24812 KB |
Output is correct |
66 |
Correct |
86 ms |
23460 KB |
Output is correct |
67 |
Correct |
108 ms |
23108 KB |
Output is correct |
68 |
Correct |
63 ms |
27476 KB |
Output is correct |
69 |
Correct |
95 ms |
24120 KB |
Output is correct |
70 |
Correct |
83 ms |
23604 KB |
Output is correct |