#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set;
#define scan(x) do{while((x=getchar())<'0'); for(x-='0'; '0'<=(_=getchar()); x=(x<<3)+(x<<1)+_-'0');}while(0)
char _;
#define complete_unique(a) a.erase(unique(a.begin(),a.end()),a.end())
#define all(a) a.begin(),a.end()
#define println printf("\n");
#define readln(x) getline(cin,x);
#define pb push_back
#define endl "\n"
#define INT_INF 0x3f3f3f3f
#define LL_INF 0x3f3f3f3f3f3f3f3f
#define EPS 1e-9
#define MOD 1000000007
#define MOD2 1494318097
#define SEED 131
#define mp make_pair
#define fastio cin.tie(0); cin.sync_with_stdio(0);
#define MAXN 100005
typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<double,double> pdd;
typedef pair<ll,ll> pll;
typedef pair<int,pii> triple;
typedef int8_t byte;
const ld PI = (ld)4*atanl(1);
mt19937 g1(chrono::steady_clock::now().time_since_epoch().count());
int randint(int a, int b){return uniform_int_distribution<int>(a, b)(g1);}
ll randlong(ll a,ll b){return uniform_int_distribution<long long>(a, b)(g1);}
ll gcd(ll a, ll b){return b == 0 ? a : gcd(b, a % b);}
ll lcm(ll a, ll b){return a*b/gcd(a,b);}
ll fpow(ll b, ll exp, ll mod){if(exp == 0) return 1;ll t = fpow(b,exp/2,mod);if(exp&1) return t*t%mod*b%mod;return t*t%mod;}
ll divmod(ll i, ll j, ll mod){i%=mod,j%=mod;return i*fpow(j,mod-2,mod)%mod;}
template<typename T>
struct node{
int l,r;
T mx,mn,sum,lazy;
};
template<typename T>
struct HLDSegTree{
node<T> seg[4*MAXN];
inline ll sz(int rt){return seg[rt].r-seg[rt].l+1;}
inline void push_up(int rt){
seg[rt].mx = max(seg[rt<<1].mx,seg[rt<<1|1].mx);
seg[rt].mn = min(seg[rt<<1].mn,seg[rt<<1|1].mn);
seg[rt].sum = seg[rt<<1].sum+seg[rt<<1|1].sum;
}
inline void push_down(int rt){
seg[rt<<1].mx+=seg[rt].lazy, seg[rt<<1|1].mx+=seg[rt].lazy;
seg[rt<<1].mn+=seg[rt].lazy, seg[rt<<1|1].mn+=seg[rt].lazy;
seg[rt<<1].sum+=seg[rt].lazy*sz(rt<<1), seg[rt<<1|1].sum+=seg[rt].lazy*sz(rt<<1|1);
seg[rt<<1].lazy+=seg[rt].lazy, seg[rt<<1|1].lazy+=seg[rt].lazy;
seg[rt].lazy = 0;
}
void build(int l, int r, int rt){
seg[rt].l = l, seg[rt].r = r, seg[rt].sum = seg[rt].lazy = 0, seg[rt].mn = INT_INF, seg[rt].mx = -INT_INF;
if(l == r) return;
int mid = (l+r)/2;
build(l,mid,rt<<1);
build(mid+1,r,rt<<1|1);
}
void update(int l, int r, int rt, T val){
if(l > r) return;
if(seg[rt].l == l && seg[rt].r == r){
seg[rt].mx+=val, seg[rt].mn+=val, seg[rt].lazy+=val;
seg[rt].sum+=val*sz(rt);
return;
}
if(seg[rt].lazy) push_down(rt);
int mid = (seg[rt].l+seg[rt].r)/2;
if(r <= mid) update(l,r,rt<<1,val);
else if(l > mid) update(l,r,rt<<1|1,val);
else update(l,mid,rt<<1,val), update(mid+1,r,rt<<1|1,val);
push_up(rt);
}
T query(int l, int r, int rt){
if(seg[rt].l == l && seg[rt].r == r) return seg[rt].sum;
if(seg[rt].lazy) push_down(rt);
int mid = (seg[rt].l+seg[rt].r)/2;
if(r <= mid) return query(l,r,rt<<1);
else if(l > mid) return query(l,r,rt<<1|1);
return query(l,mid,rt<<1)+query(mid+1,r,rt<<1|1);
}
};
template<typename T>
struct HLD{
int sz[MAXN],heavy[MAXN],par[MAXN],head[MAXN],depth[MAXN],pos[MAXN],cnt=0;
HLDSegTree<T> seg;
vector<pair<int,ll>> connections[MAXN];
vector<pair<pii,int>> paths[MAXN];
inline void add_edge(int a, int b, ll val = 0){
connections[a].pb(mp(b,val));
connections[b].pb(mp(a,val));
}
int dfs(int node, int prev){
sz[node] = 1;
for(pair<int,ll> check:connections[node]){
if(check.first == prev) continue;
par[check.first] = node, depth[check.first] = depth[node]+1;
int tmp = dfs(check.first,node);
if(tmp > sz[heavy[node]]) heavy[node] = check.first;
sz[node]+=tmp;
}
return sz[node];
}
void decompose(int node, int prev, int hh){
head[node] = hh, pos[node] = ++cnt;
if(heavy[node]) decompose(heavy[node],node,hh);
for(pair<int,ll> check:connections[node]){
if(check.first == prev || check.first == heavy[node]) continue;
decompose(check.first,node,check.first);
}
}
inline void init(){
memset(heavy,0,sizeof heavy);
memset(head,0,sizeof head);
memset(depth,0,sizeof depth);
memset(par,0,sizeof par);
dfs(1,-1);
decompose(1,-1,1);
seg.build(1,cnt,1);
}
inline int lca(int a, int b){
for(; head[a] != head[b]; b = par[head[b]])
if(depth[head[a]] > depth[head[b]]) swap(a,b);
if(depth[a] > depth[b]) swap(a,b);
return a;
}
inline void update(int a, int b, T v){
for(; head[a] != head[b]; b = par[head[b]]){
if(depth[head[a]] > depth[head[b]]) swap(a,b);
seg.update(pos[head[b]],pos[b],1,v);
}
if(depth[a] > depth[b]) swap(a,b);
seg.update(pos[a],pos[b],1,v);
}
inline T query(int a, int b){
T res = 0;
for(; head[a] != head[b]; b = par[head[b]]){
if(depth[head[a]] > depth[head[b]]) swap(a,b);
res+=seg.query(pos[head[b]],pos[b],1);
}
if(depth[a] > depth[b]) swap(a,b);
return res+seg.query(pos[a],pos[b],1);
}
};
int N,M;
ll dp[MAXN],ch_sum[MAXN];
HLD<ll> hld,d;
void solve(int node, int prev){
for(auto check:hld.connections[node]){
if(check.first == prev) continue;
solve(check.first,node);
ch_sum[node]+=dp[check.first];
}
dp[node] = ch_sum[node];
hld.update(node,node,ch_sum[node]);
for(pair<pii,int> check:hld.paths[node]){
ll val = hld.query(check.first.first,check.first.second)-d.query(check.first.first,check.first.second)+check.second;
dp[node] = max(dp[node],val);
}
d.update(node,node,dp[node]);
}
int main(){
fastio; cin >> N;
for(int i=1; i<N; i++){
int a,b; cin >> a >> b;
hld.add_edge(a,b);
d.add_edge(a,b);
}
hld.init();
d.init();
cin >> M;
for(int i=1; i<=M; i++){
int a,b,c; cin >> a >> b >> c;
hld.paths[hld.lca(a,b)].pb(mp(mp(a,b),c));
}
solve(1,-1);
cout << dp[1] << endl;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
12928 KB |
Output is correct |
2 |
Correct |
12 ms |
12928 KB |
Output is correct |
3 |
Correct |
12 ms |
12928 KB |
Output is correct |
4 |
Correct |
13 ms |
13184 KB |
Output is correct |
5 |
Correct |
248 ms |
48632 KB |
Output is correct |
6 |
Correct |
137 ms |
68984 KB |
Output is correct |
7 |
Correct |
200 ms |
62200 KB |
Output is correct |
8 |
Correct |
170 ms |
46524 KB |
Output is correct |
9 |
Correct |
193 ms |
57848 KB |
Output is correct |
10 |
Correct |
172 ms |
46396 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
12928 KB |
Output is correct |
2 |
Correct |
12 ms |
12928 KB |
Output is correct |
3 |
Correct |
13 ms |
13440 KB |
Output is correct |
4 |
Correct |
251 ms |
72376 KB |
Output is correct |
5 |
Correct |
237 ms |
72312 KB |
Output is correct |
6 |
Correct |
212 ms |
72440 KB |
Output is correct |
7 |
Correct |
243 ms |
72352 KB |
Output is correct |
8 |
Correct |
245 ms |
72236 KB |
Output is correct |
9 |
Correct |
211 ms |
72312 KB |
Output is correct |
10 |
Correct |
238 ms |
72312 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
12928 KB |
Output is correct |
2 |
Correct |
12 ms |
12928 KB |
Output is correct |
3 |
Correct |
13 ms |
13440 KB |
Output is correct |
4 |
Correct |
251 ms |
72376 KB |
Output is correct |
5 |
Correct |
237 ms |
72312 KB |
Output is correct |
6 |
Correct |
212 ms |
72440 KB |
Output is correct |
7 |
Correct |
243 ms |
72352 KB |
Output is correct |
8 |
Correct |
245 ms |
72236 KB |
Output is correct |
9 |
Correct |
211 ms |
72312 KB |
Output is correct |
10 |
Correct |
238 ms |
72312 KB |
Output is correct |
11 |
Correct |
26 ms |
14208 KB |
Output is correct |
12 |
Correct |
252 ms |
72572 KB |
Output is correct |
13 |
Correct |
239 ms |
72568 KB |
Output is correct |
14 |
Correct |
213 ms |
72568 KB |
Output is correct |
15 |
Correct |
243 ms |
72696 KB |
Output is correct |
16 |
Correct |
214 ms |
72568 KB |
Output is correct |
17 |
Correct |
239 ms |
72568 KB |
Output is correct |
18 |
Correct |
241 ms |
72672 KB |
Output is correct |
19 |
Correct |
218 ms |
72584 KB |
Output is correct |
20 |
Correct |
239 ms |
72696 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
793 ms |
51412 KB |
Output is correct |
2 |
Correct |
212 ms |
72312 KB |
Output is correct |
3 |
Correct |
394 ms |
64760 KB |
Output is correct |
4 |
Correct |
375 ms |
49520 KB |
Output is correct |
5 |
Correct |
326 ms |
63236 KB |
Output is correct |
6 |
Correct |
369 ms |
49324 KB |
Output is correct |
7 |
Correct |
402 ms |
62772 KB |
Output is correct |
8 |
Correct |
480 ms |
51192 KB |
Output is correct |
9 |
Correct |
215 ms |
72312 KB |
Output is correct |
10 |
Correct |
421 ms |
60208 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
12928 KB |
Output is correct |
2 |
Correct |
12 ms |
12928 KB |
Output is correct |
3 |
Correct |
12 ms |
12928 KB |
Output is correct |
4 |
Correct |
13 ms |
13184 KB |
Output is correct |
5 |
Correct |
248 ms |
48632 KB |
Output is correct |
6 |
Correct |
137 ms |
68984 KB |
Output is correct |
7 |
Correct |
200 ms |
62200 KB |
Output is correct |
8 |
Correct |
170 ms |
46524 KB |
Output is correct |
9 |
Correct |
193 ms |
57848 KB |
Output is correct |
10 |
Correct |
172 ms |
46396 KB |
Output is correct |
11 |
Correct |
14 ms |
13312 KB |
Output is correct |
12 |
Correct |
13 ms |
13440 KB |
Output is correct |
13 |
Correct |
13 ms |
13440 KB |
Output is correct |
14 |
Correct |
13 ms |
13312 KB |
Output is correct |
15 |
Correct |
14 ms |
13312 KB |
Output is correct |
16 |
Correct |
13 ms |
13312 KB |
Output is correct |
17 |
Correct |
14 ms |
13184 KB |
Output is correct |
18 |
Correct |
13 ms |
13440 KB |
Output is correct |
19 |
Correct |
13 ms |
13312 KB |
Output is correct |
20 |
Correct |
13 ms |
13440 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
12 ms |
12928 KB |
Output is correct |
2 |
Correct |
12 ms |
12928 KB |
Output is correct |
3 |
Correct |
12 ms |
12928 KB |
Output is correct |
4 |
Correct |
13 ms |
13184 KB |
Output is correct |
5 |
Correct |
248 ms |
48632 KB |
Output is correct |
6 |
Correct |
137 ms |
68984 KB |
Output is correct |
7 |
Correct |
200 ms |
62200 KB |
Output is correct |
8 |
Correct |
170 ms |
46524 KB |
Output is correct |
9 |
Correct |
193 ms |
57848 KB |
Output is correct |
10 |
Correct |
172 ms |
46396 KB |
Output is correct |
11 |
Correct |
12 ms |
12928 KB |
Output is correct |
12 |
Correct |
12 ms |
12928 KB |
Output is correct |
13 |
Correct |
13 ms |
13440 KB |
Output is correct |
14 |
Correct |
251 ms |
72376 KB |
Output is correct |
15 |
Correct |
237 ms |
72312 KB |
Output is correct |
16 |
Correct |
212 ms |
72440 KB |
Output is correct |
17 |
Correct |
243 ms |
72352 KB |
Output is correct |
18 |
Correct |
245 ms |
72236 KB |
Output is correct |
19 |
Correct |
211 ms |
72312 KB |
Output is correct |
20 |
Correct |
238 ms |
72312 KB |
Output is correct |
21 |
Correct |
26 ms |
14208 KB |
Output is correct |
22 |
Correct |
252 ms |
72572 KB |
Output is correct |
23 |
Correct |
239 ms |
72568 KB |
Output is correct |
24 |
Correct |
213 ms |
72568 KB |
Output is correct |
25 |
Correct |
243 ms |
72696 KB |
Output is correct |
26 |
Correct |
214 ms |
72568 KB |
Output is correct |
27 |
Correct |
239 ms |
72568 KB |
Output is correct |
28 |
Correct |
241 ms |
72672 KB |
Output is correct |
29 |
Correct |
218 ms |
72584 KB |
Output is correct |
30 |
Correct |
239 ms |
72696 KB |
Output is correct |
31 |
Correct |
793 ms |
51412 KB |
Output is correct |
32 |
Correct |
212 ms |
72312 KB |
Output is correct |
33 |
Correct |
394 ms |
64760 KB |
Output is correct |
34 |
Correct |
375 ms |
49520 KB |
Output is correct |
35 |
Correct |
326 ms |
63236 KB |
Output is correct |
36 |
Correct |
369 ms |
49324 KB |
Output is correct |
37 |
Correct |
402 ms |
62772 KB |
Output is correct |
38 |
Correct |
480 ms |
51192 KB |
Output is correct |
39 |
Correct |
215 ms |
72312 KB |
Output is correct |
40 |
Correct |
421 ms |
60208 KB |
Output is correct |
41 |
Correct |
14 ms |
13312 KB |
Output is correct |
42 |
Correct |
13 ms |
13440 KB |
Output is correct |
43 |
Correct |
13 ms |
13440 KB |
Output is correct |
44 |
Correct |
13 ms |
13312 KB |
Output is correct |
45 |
Correct |
14 ms |
13312 KB |
Output is correct |
46 |
Correct |
13 ms |
13312 KB |
Output is correct |
47 |
Correct |
14 ms |
13184 KB |
Output is correct |
48 |
Correct |
13 ms |
13440 KB |
Output is correct |
49 |
Correct |
13 ms |
13312 KB |
Output is correct |
50 |
Correct |
13 ms |
13440 KB |
Output is correct |
51 |
Correct |
479 ms |
51576 KB |
Output is correct |
52 |
Correct |
240 ms |
72568 KB |
Output is correct |
53 |
Correct |
414 ms |
60844 KB |
Output is correct |
54 |
Correct |
307 ms |
49664 KB |
Output is correct |
55 |
Correct |
788 ms |
51740 KB |
Output is correct |
56 |
Correct |
249 ms |
72568 KB |
Output is correct |
57 |
Correct |
328 ms |
62328 KB |
Output is correct |
58 |
Correct |
372 ms |
49812 KB |
Output is correct |
59 |
Correct |
491 ms |
51448 KB |
Output is correct |
60 |
Correct |
236 ms |
72568 KB |
Output is correct |
61 |
Correct |
327 ms |
62584 KB |
Output is correct |
62 |
Correct |
378 ms |
49304 KB |
Output is correct |
63 |
Correct |
776 ms |
51568 KB |
Output is correct |
64 |
Correct |
245 ms |
72696 KB |
Output is correct |
65 |
Correct |
403 ms |
62512 KB |
Output is correct |
66 |
Correct |
311 ms |
50044 KB |
Output is correct |
67 |
Correct |
753 ms |
51564 KB |
Output is correct |
68 |
Correct |
236 ms |
72568 KB |
Output is correct |
69 |
Correct |
323 ms |
59128 KB |
Output is correct |
70 |
Correct |
346 ms |
49828 KB |
Output is correct |