#include<bits/stdc++.h>
#pragma GCC optimize ("Ofast")
using namespace std;
#define all(v) v.begin(), v.end()
#define pii pair<int, int>
#define F first
#define S second
typedef long long ll;
const int N=1e5+5;
int n, q, lg, dp[N], pd[N][18], s[N], f[N], dis[N], h[N];
vector<int>g[N], kd[N], nd;
vector<pair<int, pii>>w[N];
struct fenwick{
vector<ll>bit=vector<ll>(n, 0);
void add(int v, int x){
for(int i=v;i<n;i|=i+1)
bit[i]+=x;
}
void add(int l, int r, int x){
add(l, x);
add(r, -x);
}
int num(int v){
ll ans=0;
for(int i=v;i>=0;i=(i&(i+1))-1)
ans+=bit[i];
return ans;
}
};
void dfs(const int &v, const int &p, int &t){
s[v]=t++;
nd.push_back(v);
for(auto u: g[v]){
if(u!=p){
dis[u]=dis[v]+1;
kd[v].push_back(u);
pd[u][0]=v;
for(int i=1;i<=lg;++i)
pd[u][i]=pd[pd[u][i-1]][i-1];
dfs(u, v, t);
}
}
f[v]=t;
}
int par(int v, int p){
int pp;
while(p>0){
pp=p&(-p);
v=pd[v][31-__builtin_clz(pp)];
p-=pp;
}
return v;
}
int lca(int v, int u){
v=par(v, dis[v]-dis[u]);
u=par(u, dis[u]-dis[v]);
if(u==v)
return v;
for(int i=lg;i>=0;--i){
if(pd[v][i]!=pd[u][i]){
v=pd[v][i];
u=pd[u][i];
}
}
return pd[v][0];
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin>>n;
lg=31-__builtin_clz(n);
int v, u;
for(int i=0;i<n-1;++i){
cin>>u>>v;
g[--u].push_back(--v);
g[v].push_back(u);
}
int t=0;
dfs(0, 0, t);
cin>>q;
int x, y;
while(q--){
cin>>v>>u>>x;
y=lca(--v, --u);
w[y].push_back({x, {v, u}});
}
fenwick A;
for(int i=n-1;i>=0;--i){
v=nd[i];
dp[v]=h[v];
for(auto u: w[v]){
x=A.num(s[u.S.F])+A.num(s[u.S.S])-2*A.num(s[v])+h[v]+u.F;
dp[v]=max(dp[v], x);
}
h[pd[v][0]]+=dp[v];
A.add(s[v], f[v], -dp[v]);
A.add(s[pd[v][0]], f[pd[v][0]], dp[v]);
}
cout<<dp[0];
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
7372 KB |
Output is correct |
2 |
Correct |
3 ms |
7372 KB |
Output is correct |
3 |
Correct |
3 ms |
7372 KB |
Output is correct |
4 |
Correct |
4 ms |
7500 KB |
Output is correct |
5 |
Correct |
84 ms |
23352 KB |
Output is correct |
6 |
Correct |
48 ms |
34112 KB |
Output is correct |
7 |
Correct |
92 ms |
30160 KB |
Output is correct |
8 |
Correct |
59 ms |
22328 KB |
Output is correct |
9 |
Correct |
104 ms |
28484 KB |
Output is correct |
10 |
Correct |
66 ms |
22548 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
7372 KB |
Output is correct |
2 |
Correct |
4 ms |
7372 KB |
Output is correct |
3 |
Correct |
4 ms |
7628 KB |
Output is correct |
4 |
Correct |
91 ms |
35104 KB |
Output is correct |
5 |
Correct |
92 ms |
35100 KB |
Output is correct |
6 |
Correct |
88 ms |
35188 KB |
Output is correct |
7 |
Correct |
111 ms |
35388 KB |
Output is correct |
8 |
Correct |
96 ms |
35132 KB |
Output is correct |
9 |
Correct |
85 ms |
35116 KB |
Output is correct |
10 |
Correct |
90 ms |
35108 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
7372 KB |
Output is correct |
2 |
Correct |
4 ms |
7372 KB |
Output is correct |
3 |
Correct |
4 ms |
7628 KB |
Output is correct |
4 |
Correct |
91 ms |
35104 KB |
Output is correct |
5 |
Correct |
92 ms |
35100 KB |
Output is correct |
6 |
Correct |
88 ms |
35188 KB |
Output is correct |
7 |
Correct |
111 ms |
35388 KB |
Output is correct |
8 |
Correct |
96 ms |
35132 KB |
Output is correct |
9 |
Correct |
85 ms |
35116 KB |
Output is correct |
10 |
Correct |
90 ms |
35108 KB |
Output is correct |
11 |
Correct |
10 ms |
8092 KB |
Output is correct |
12 |
Correct |
95 ms |
35080 KB |
Output is correct |
13 |
Correct |
103 ms |
35324 KB |
Output is correct |
14 |
Correct |
88 ms |
35160 KB |
Output is correct |
15 |
Correct |
94 ms |
35212 KB |
Output is correct |
16 |
Correct |
88 ms |
35132 KB |
Output is correct |
17 |
Correct |
100 ms |
35180 KB |
Output is correct |
18 |
Correct |
95 ms |
35116 KB |
Output is correct |
19 |
Correct |
93 ms |
35204 KB |
Output is correct |
20 |
Correct |
93 ms |
35164 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
116 ms |
23716 KB |
Output is correct |
2 |
Correct |
88 ms |
36780 KB |
Output is correct |
3 |
Correct |
182 ms |
32444 KB |
Output is correct |
4 |
Correct |
88 ms |
24460 KB |
Output is correct |
5 |
Correct |
152 ms |
31756 KB |
Output is correct |
6 |
Correct |
96 ms |
24504 KB |
Output is correct |
7 |
Correct |
174 ms |
31536 KB |
Output is correct |
8 |
Correct |
123 ms |
25732 KB |
Output is correct |
9 |
Correct |
92 ms |
36772 KB |
Output is correct |
10 |
Correct |
161 ms |
30268 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
7372 KB |
Output is correct |
2 |
Correct |
3 ms |
7372 KB |
Output is correct |
3 |
Correct |
3 ms |
7372 KB |
Output is correct |
4 |
Correct |
4 ms |
7500 KB |
Output is correct |
5 |
Correct |
84 ms |
23352 KB |
Output is correct |
6 |
Correct |
48 ms |
34112 KB |
Output is correct |
7 |
Correct |
92 ms |
30160 KB |
Output is correct |
8 |
Correct |
59 ms |
22328 KB |
Output is correct |
9 |
Correct |
104 ms |
28484 KB |
Output is correct |
10 |
Correct |
66 ms |
22548 KB |
Output is correct |
11 |
Correct |
4 ms |
7500 KB |
Output is correct |
12 |
Correct |
4 ms |
7628 KB |
Output is correct |
13 |
Correct |
4 ms |
7632 KB |
Output is correct |
14 |
Correct |
5 ms |
7584 KB |
Output is correct |
15 |
Correct |
4 ms |
7500 KB |
Output is correct |
16 |
Correct |
6 ms |
7500 KB |
Output is correct |
17 |
Correct |
4 ms |
7500 KB |
Output is correct |
18 |
Correct |
5 ms |
7628 KB |
Output is correct |
19 |
Correct |
4 ms |
7508 KB |
Output is correct |
20 |
Correct |
4 ms |
7640 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
7372 KB |
Output is correct |
2 |
Correct |
3 ms |
7372 KB |
Output is correct |
3 |
Correct |
3 ms |
7372 KB |
Output is correct |
4 |
Correct |
4 ms |
7500 KB |
Output is correct |
5 |
Correct |
84 ms |
23352 KB |
Output is correct |
6 |
Correct |
48 ms |
34112 KB |
Output is correct |
7 |
Correct |
92 ms |
30160 KB |
Output is correct |
8 |
Correct |
59 ms |
22328 KB |
Output is correct |
9 |
Correct |
104 ms |
28484 KB |
Output is correct |
10 |
Correct |
66 ms |
22548 KB |
Output is correct |
11 |
Correct |
3 ms |
7372 KB |
Output is correct |
12 |
Correct |
4 ms |
7372 KB |
Output is correct |
13 |
Correct |
4 ms |
7628 KB |
Output is correct |
14 |
Correct |
91 ms |
35104 KB |
Output is correct |
15 |
Correct |
92 ms |
35100 KB |
Output is correct |
16 |
Correct |
88 ms |
35188 KB |
Output is correct |
17 |
Correct |
111 ms |
35388 KB |
Output is correct |
18 |
Correct |
96 ms |
35132 KB |
Output is correct |
19 |
Correct |
85 ms |
35116 KB |
Output is correct |
20 |
Correct |
90 ms |
35108 KB |
Output is correct |
21 |
Correct |
10 ms |
8092 KB |
Output is correct |
22 |
Correct |
95 ms |
35080 KB |
Output is correct |
23 |
Correct |
103 ms |
35324 KB |
Output is correct |
24 |
Correct |
88 ms |
35160 KB |
Output is correct |
25 |
Correct |
94 ms |
35212 KB |
Output is correct |
26 |
Correct |
88 ms |
35132 KB |
Output is correct |
27 |
Correct |
100 ms |
35180 KB |
Output is correct |
28 |
Correct |
95 ms |
35116 KB |
Output is correct |
29 |
Correct |
93 ms |
35204 KB |
Output is correct |
30 |
Correct |
93 ms |
35164 KB |
Output is correct |
31 |
Correct |
116 ms |
23716 KB |
Output is correct |
32 |
Correct |
88 ms |
36780 KB |
Output is correct |
33 |
Correct |
182 ms |
32444 KB |
Output is correct |
34 |
Correct |
88 ms |
24460 KB |
Output is correct |
35 |
Correct |
152 ms |
31756 KB |
Output is correct |
36 |
Correct |
96 ms |
24504 KB |
Output is correct |
37 |
Correct |
174 ms |
31536 KB |
Output is correct |
38 |
Correct |
123 ms |
25732 KB |
Output is correct |
39 |
Correct |
92 ms |
36772 KB |
Output is correct |
40 |
Correct |
161 ms |
30268 KB |
Output is correct |
41 |
Correct |
4 ms |
7500 KB |
Output is correct |
42 |
Correct |
4 ms |
7628 KB |
Output is correct |
43 |
Correct |
4 ms |
7632 KB |
Output is correct |
44 |
Correct |
5 ms |
7584 KB |
Output is correct |
45 |
Correct |
4 ms |
7500 KB |
Output is correct |
46 |
Correct |
6 ms |
7500 KB |
Output is correct |
47 |
Correct |
4 ms |
7500 KB |
Output is correct |
48 |
Correct |
5 ms |
7628 KB |
Output is correct |
49 |
Correct |
4 ms |
7508 KB |
Output is correct |
50 |
Correct |
4 ms |
7640 KB |
Output is correct |
51 |
Correct |
154 ms |
25848 KB |
Output is correct |
52 |
Correct |
103 ms |
36848 KB |
Output is correct |
53 |
Correct |
198 ms |
30432 KB |
Output is correct |
54 |
Correct |
98 ms |
24604 KB |
Output is correct |
55 |
Correct |
145 ms |
25408 KB |
Output is correct |
56 |
Correct |
98 ms |
36796 KB |
Output is correct |
57 |
Correct |
179 ms |
31396 KB |
Output is correct |
58 |
Correct |
94 ms |
24444 KB |
Output is correct |
59 |
Correct |
134 ms |
25744 KB |
Output is correct |
60 |
Correct |
97 ms |
36792 KB |
Output is correct |
61 |
Correct |
167 ms |
31296 KB |
Output is correct |
62 |
Correct |
99 ms |
24408 KB |
Output is correct |
63 |
Correct |
125 ms |
25316 KB |
Output is correct |
64 |
Correct |
98 ms |
36780 KB |
Output is correct |
65 |
Correct |
188 ms |
31116 KB |
Output is correct |
66 |
Correct |
111 ms |
24596 KB |
Output is correct |
67 |
Correct |
148 ms |
25508 KB |
Output is correct |
68 |
Correct |
100 ms |
36756 KB |
Output is correct |
69 |
Correct |
162 ms |
29764 KB |
Output is correct |
70 |
Correct |
104 ms |
24764 KB |
Output is correct |