// Judges with GCC >= 12 only needs Ofast
// #pragma GCC optimize("O3,no-stack-protector,fast-math,unroll-loops,tree-vectorize")
// MLE optimization
// #pragma GCC optimize("conserve-stack")
// Old judges
// #pragma GCC target("sse4.2,popcnt,lzcnt,abm,mmx,fma,bmi,bmi2")
// New judges. Test with assert(__builtin_cpu_supports("avx2"));
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma,tune=native")
// Atcoder
// #pragma GCC target("avx2,popcnt,lzcnt,abm,bmi,bmi2,fma")
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int,null_type,less<int>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
- insert(x),erase(x)
- find_by_order(k): return iterator to the k-th smallest element
- order_of_key(x): the number of elements that are strictly smaller
*/
#include<bits/stdc++.h>
using namespace std;
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_real_distribution<> pp(0.0,1.0);
#define int long long
#define ld long double
#define pii pair<int,int>
#define piii pair<pii,int>
#define mpp make_pair
#define fi first
#define se second
const int inf=1e18;
const int mod=1e9+7;
const int maxn=200005;
const int bl=650;
const int maxs=655;
const int maxm=200005;
const int maxq=500005;
const int maxl=18;
const int maxa=250000;
const int root=3;
int power(int a,int n){
int res=1;
while(n){
if(n&1) res=res*a%mod;
a=a*a%mod;n>>=1;
}
return res;
}
const int iroot=power(3,mod-2);
const int base=101;
namespace BIT{
int n;
vector<int> bit;
void init(int N){
n=N;
bit.assign(n+1,0);
}
int query(int x){
int res=0;
for(int i=x;i>=1;i-=(i&(-i))) res+=bit[i];
return res;
}
void update(int x,int val){
for(int i=x;i<=n;i+=(i&(-i))) bit[i]+=val;
}
void update_range(int l,int r,int val){
update(l,val);update(r+1,-val);
}
}
namespace Tree{
vector<vector<int>> edge,Min;
vector<int> lg2,dep,L,R;
int pos;
int cmp(int u,int v){
return (dep[u]<dep[v]?u:v);
}
int lca(int u,int v){
u=L[u];v=L[v];
if(u>v) swap(u,v);
int p=lg2[v-u+1];
return cmp(Min[u][p],Min[v-(1<<p)+1][p]);
}
int dist(int u,int v){
return dep[u]+dep[v]-2*dep[lca(u,v)];
}
void dfs(int u,int p){
L[u]=++pos;Min[pos][0]=u;
dep[u]=dep[p]+1;
for(int v:edge[u]){
if(v==p) continue;
dfs(v,u);Min[++pos][0]=u;
}
R[u]=pos;
}
void init(int n){
lg2.assign(2*n+1,0);
dep.assign(n+1,0);
L.assign(n+1,0);
R.assign(n+1,0);
edge.resize(n+1);
Min.assign(2*n+1,vector<int>(maxl,0));
}
void build(int n){
init(n);
for(int i=1;i<n;i++){
int u,v;cin >> u >> v;
edge[u].push_back(v);
edge[v].push_back(u);
}
dfs(1,0);
for(int i=2;i<=pos;i++) lg2[i]=lg2[i/2]+1;
for(int i=1;i<maxl;i++){
for(int j=1;j<=(pos-(1<<i)+1);j++) Min[j][i]=cmp(Min[j][i-1],Min[j+(1<<(i-1))][i-1]);
}
}
}
void solve(){
int n;cin >> n;
vector<vector<tuple<int,int,int>>> ss(n+1);
vector<int> dp(n+1,0LL);
Tree::build(n);
BIT::init(2*n);
int m;cin >> m;
for(int i=1;i<=m;i++){
int u,v,w;cin >> u >> v >> w;
ss[Tree::lca(u,v)].push_back({u,v,w});
}
function<void(int,int)> dfs = [&](int u,int p){
int sum=0;
for(int v:Tree::edge[u]){
if(v==p) continue;
dfs(v,u);sum+=dp[v];
//cout << u << ' ' << v << ' ' << dp[v] << ' ' << sum << '\n';
}
dp[u]=sum;
//cout << sum << '\n';
//cout << u << ' ' << sum << '\n';
for(auto &[x,y,w]:ss[u]){
//cout << x << ' ' << y << ' ' << w << '\n';
int cur=sum+w+BIT::query(Tree::L[x])+BIT::query(Tree::L[y]);
//cout << cur << '\n';
dp[u]=max(dp[u],cur);
}
BIT::update_range(Tree::L[u],Tree::R[u],sum-dp[u]);
//cout << u << ' ' << sum << ' ' << dp[u] << '\n';
};
dfs(1,0);
cout << dp[1] << '\n';
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
int test=1;//cin >> test;
while(test--) solve();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
852 KB |
Output is correct |
5 |
Correct |
115 ms |
52368 KB |
Output is correct |
6 |
Correct |
93 ms |
64004 KB |
Output is correct |
7 |
Correct |
121 ms |
60076 KB |
Output is correct |
8 |
Correct |
96 ms |
52480 KB |
Output is correct |
9 |
Correct |
116 ms |
57676 KB |
Output is correct |
10 |
Correct |
120 ms |
52416 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
324 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
972 KB |
Output is correct |
4 |
Correct |
132 ms |
68892 KB |
Output is correct |
5 |
Correct |
155 ms |
68940 KB |
Output is correct |
6 |
Correct |
138 ms |
68972 KB |
Output is correct |
7 |
Correct |
136 ms |
68904 KB |
Output is correct |
8 |
Correct |
134 ms |
68908 KB |
Output is correct |
9 |
Correct |
137 ms |
68936 KB |
Output is correct |
10 |
Correct |
135 ms |
68924 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
324 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
972 KB |
Output is correct |
4 |
Correct |
132 ms |
68892 KB |
Output is correct |
5 |
Correct |
155 ms |
68940 KB |
Output is correct |
6 |
Correct |
138 ms |
68972 KB |
Output is correct |
7 |
Correct |
136 ms |
68904 KB |
Output is correct |
8 |
Correct |
134 ms |
68908 KB |
Output is correct |
9 |
Correct |
137 ms |
68936 KB |
Output is correct |
10 |
Correct |
135 ms |
68924 KB |
Output is correct |
11 |
Correct |
7 ms |
2188 KB |
Output is correct |
12 |
Correct |
137 ms |
69196 KB |
Output is correct |
13 |
Correct |
138 ms |
69164 KB |
Output is correct |
14 |
Correct |
137 ms |
69208 KB |
Output is correct |
15 |
Correct |
133 ms |
69156 KB |
Output is correct |
16 |
Correct |
130 ms |
69172 KB |
Output is correct |
17 |
Correct |
136 ms |
69204 KB |
Output is correct |
18 |
Correct |
138 ms |
69160 KB |
Output is correct |
19 |
Correct |
152 ms |
69276 KB |
Output is correct |
20 |
Correct |
134 ms |
69152 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
167 ms |
56496 KB |
Output is correct |
2 |
Correct |
136 ms |
68964 KB |
Output is correct |
3 |
Correct |
163 ms |
64408 KB |
Output is correct |
4 |
Correct |
143 ms |
56960 KB |
Output is correct |
5 |
Correct |
162 ms |
63432 KB |
Output is correct |
6 |
Correct |
136 ms |
56988 KB |
Output is correct |
7 |
Correct |
165 ms |
63116 KB |
Output is correct |
8 |
Correct |
169 ms |
56556 KB |
Output is correct |
9 |
Correct |
137 ms |
68900 KB |
Output is correct |
10 |
Correct |
173 ms |
61508 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
852 KB |
Output is correct |
5 |
Correct |
115 ms |
52368 KB |
Output is correct |
6 |
Correct |
93 ms |
64004 KB |
Output is correct |
7 |
Correct |
121 ms |
60076 KB |
Output is correct |
8 |
Correct |
96 ms |
52480 KB |
Output is correct |
9 |
Correct |
116 ms |
57676 KB |
Output is correct |
10 |
Correct |
120 ms |
52416 KB |
Output is correct |
11 |
Correct |
1 ms |
848 KB |
Output is correct |
12 |
Correct |
1 ms |
980 KB |
Output is correct |
13 |
Correct |
1 ms |
852 KB |
Output is correct |
14 |
Correct |
1 ms |
852 KB |
Output is correct |
15 |
Correct |
1 ms |
852 KB |
Output is correct |
16 |
Correct |
1 ms |
844 KB |
Output is correct |
17 |
Correct |
1 ms |
864 KB |
Output is correct |
18 |
Correct |
1 ms |
852 KB |
Output is correct |
19 |
Correct |
1 ms |
852 KB |
Output is correct |
20 |
Correct |
1 ms |
980 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
852 KB |
Output is correct |
5 |
Correct |
115 ms |
52368 KB |
Output is correct |
6 |
Correct |
93 ms |
64004 KB |
Output is correct |
7 |
Correct |
121 ms |
60076 KB |
Output is correct |
8 |
Correct |
96 ms |
52480 KB |
Output is correct |
9 |
Correct |
116 ms |
57676 KB |
Output is correct |
10 |
Correct |
120 ms |
52416 KB |
Output is correct |
11 |
Correct |
1 ms |
324 KB |
Output is correct |
12 |
Correct |
1 ms |
212 KB |
Output is correct |
13 |
Correct |
1 ms |
972 KB |
Output is correct |
14 |
Correct |
132 ms |
68892 KB |
Output is correct |
15 |
Correct |
155 ms |
68940 KB |
Output is correct |
16 |
Correct |
138 ms |
68972 KB |
Output is correct |
17 |
Correct |
136 ms |
68904 KB |
Output is correct |
18 |
Correct |
134 ms |
68908 KB |
Output is correct |
19 |
Correct |
137 ms |
68936 KB |
Output is correct |
20 |
Correct |
135 ms |
68924 KB |
Output is correct |
21 |
Correct |
7 ms |
2188 KB |
Output is correct |
22 |
Correct |
137 ms |
69196 KB |
Output is correct |
23 |
Correct |
138 ms |
69164 KB |
Output is correct |
24 |
Correct |
137 ms |
69208 KB |
Output is correct |
25 |
Correct |
133 ms |
69156 KB |
Output is correct |
26 |
Correct |
130 ms |
69172 KB |
Output is correct |
27 |
Correct |
136 ms |
69204 KB |
Output is correct |
28 |
Correct |
138 ms |
69160 KB |
Output is correct |
29 |
Correct |
152 ms |
69276 KB |
Output is correct |
30 |
Correct |
134 ms |
69152 KB |
Output is correct |
31 |
Correct |
167 ms |
56496 KB |
Output is correct |
32 |
Correct |
136 ms |
68964 KB |
Output is correct |
33 |
Correct |
163 ms |
64408 KB |
Output is correct |
34 |
Correct |
143 ms |
56960 KB |
Output is correct |
35 |
Correct |
162 ms |
63432 KB |
Output is correct |
36 |
Correct |
136 ms |
56988 KB |
Output is correct |
37 |
Correct |
165 ms |
63116 KB |
Output is correct |
38 |
Correct |
169 ms |
56556 KB |
Output is correct |
39 |
Correct |
137 ms |
68900 KB |
Output is correct |
40 |
Correct |
173 ms |
61508 KB |
Output is correct |
41 |
Correct |
1 ms |
848 KB |
Output is correct |
42 |
Correct |
1 ms |
980 KB |
Output is correct |
43 |
Correct |
1 ms |
852 KB |
Output is correct |
44 |
Correct |
1 ms |
852 KB |
Output is correct |
45 |
Correct |
1 ms |
852 KB |
Output is correct |
46 |
Correct |
1 ms |
844 KB |
Output is correct |
47 |
Correct |
1 ms |
864 KB |
Output is correct |
48 |
Correct |
1 ms |
852 KB |
Output is correct |
49 |
Correct |
1 ms |
852 KB |
Output is correct |
50 |
Correct |
1 ms |
980 KB |
Output is correct |
51 |
Correct |
169 ms |
56968 KB |
Output is correct |
52 |
Correct |
134 ms |
69204 KB |
Output is correct |
53 |
Correct |
162 ms |
62000 KB |
Output is correct |
54 |
Correct |
143 ms |
57000 KB |
Output is correct |
55 |
Correct |
157 ms |
56832 KB |
Output is correct |
56 |
Correct |
137 ms |
69240 KB |
Output is correct |
57 |
Correct |
167 ms |
63052 KB |
Output is correct |
58 |
Correct |
137 ms |
57100 KB |
Output is correct |
59 |
Correct |
171 ms |
56956 KB |
Output is correct |
60 |
Correct |
155 ms |
69176 KB |
Output is correct |
61 |
Correct |
160 ms |
63140 KB |
Output is correct |
62 |
Correct |
139 ms |
57272 KB |
Output is correct |
63 |
Correct |
164 ms |
56860 KB |
Output is correct |
64 |
Correct |
131 ms |
69160 KB |
Output is correct |
65 |
Correct |
167 ms |
63032 KB |
Output is correct |
66 |
Correct |
136 ms |
56896 KB |
Output is correct |
67 |
Correct |
167 ms |
57692 KB |
Output is correct |
68 |
Correct |
132 ms |
69168 KB |
Output is correct |
69 |
Correct |
161 ms |
61192 KB |
Output is correct |
70 |
Correct |
147 ms |
57220 KB |
Output is correct |