#include <bits/stdc++.h>
using namespace std;
#define ll int
#define pll pair<ll,ll>
#define pii pair<int,int>
#define fs first
#define sc second
#define tlll tuple<ll,ll,ll>
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("popcnt,sse4,avx2")
const int mxn = 1e5+10;
int N,Q,rt;
vector<int> tree[mxn];
vector<pair<pii,int>> req[mxn];
namespace HLD{
int idx[mxn],link_top[mxn],par[mxn],dep[mxn],bs[mxn],sz[mxn];
ll bit[mxn];
bitset<mxn> done;
void modify(int p,ll v){
done[p] = true;
bit[p] = bit[p+1]+v;
return;
/*
for(;p<mxn;p+=p&-p)bit[p] += v;
return;
*/
}
ll getval(int s,int e){
if(!done[s])return bit[s+1]-bit[e+1];
return bit[s]-bit[e+1];
/*
int re = 0;
for(;e>0;e-= e&-e)re += bit[e];
s--;
for(;s>0;s-= s&-s)re -= bit[s];
return re;
*/
}
int cnt = 0;
void dfs1(int now){
sz[now] = 1;
for(auto nxt:tree[now]){
if(nxt == par[now])continue;
par[nxt] = now;
dep[nxt] = dep[now]+1;
dfs1(nxt);
sz[now] += sz[nxt];
if(!bs[now]||sz[bs[now]]<sz[nxt])bs[now] = nxt;
}
return;
}
void dfs2(int now,int top){
idx[now] = ++cnt;
link_top[now] = top;
if(bs[now])dfs2(bs[now],top);
for(auto nxt:tree[now]){
if(nxt == par[now]||nxt == bs[now])continue;
dfs2(nxt,nxt);
}
return;
}
int LCA1(int a,int b){
int ta = link_top[a],tb = link_top[b];
while(ta != tb){
if(dep[ta]<dep[tb]){
swap(a,b);
swap(ta,tb);
}
a = par[ta];ta = link_top[a];
}
return (idx[a]<idx[b]?a:b);
}
int LCA(int a,int b){
int re = 0;
int ta = link_top[a],tb = link_top[b];
while(ta != tb){
if(dep[ta]<dep[tb]){
swap(a,b);
swap(ta,tb);
}
re += getval(idx[ta],idx[a]);
a = par[ta];ta = link_top[a];
}
if(idx[a]>idx[b])swap(a,b);
re += getval(idx[a],idx[b]);
return re;
}
}
namespace CALC{
ll ans = 0;
ll sum[mxn],dp[mxn];
void dfs(int now){
sort(tree[now].begin(),tree[now].end(),[](int a,int b){return HLD::idx[a]>HLD::idx[b];});
for(auto nxt:tree[now]){
if(nxt == HLD::par[now])continue;
dfs(nxt);
sum[now] += dp[nxt];
}
dp[now] = max(dp[now],sum[now]);
for(auto &i:req[now]){
auto [a,b] = i.fs;
int w = i.sc;
ll ts = sum[now]+HLD::LCA(a,b)+w;
dp[now] = max(dp[now],ts);
}
HLD::modify(HLD::idx[now],sum[now]-dp[now]);
}
void GO(){
dfs(rt);
cout<<dp[rt]<<'\n';
return;
}
}
int main(){
ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin>>N;
for(int i = 1;i<N;i++){
int a,b;
cin>>a>>b;
tree[a].push_back(b);
tree[b].push_back(a);
}
rt = min(N,(N+3)>>1);
HLD::dfs1(rt);
HLD::dfs2(rt,rt);
cin>>Q;
while(Q--){
int a,b,c;
cin>>a>>b>>c;
int h = HLD::LCA1(a,b);
req[h].push_back(make_pair(pii(a,b),c));
}
CALC::GO();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8280 KB |
Output is correct |
2 |
Correct |
2 ms |
8284 KB |
Output is correct |
3 |
Correct |
2 ms |
8284 KB |
Output is correct |
4 |
Correct |
2 ms |
8792 KB |
Output is correct |
5 |
Correct |
36 ms |
11828 KB |
Output is correct |
6 |
Correct |
35 ms |
24156 KB |
Output is correct |
7 |
Correct |
54 ms |
21152 KB |
Output is correct |
8 |
Correct |
28 ms |
12124 KB |
Output is correct |
9 |
Correct |
39 ms |
20600 KB |
Output is correct |
10 |
Correct |
31 ms |
12124 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8284 KB |
Output is correct |
2 |
Correct |
2 ms |
8284 KB |
Output is correct |
3 |
Correct |
2 ms |
8540 KB |
Output is correct |
4 |
Correct |
56 ms |
26208 KB |
Output is correct |
5 |
Correct |
69 ms |
26312 KB |
Output is correct |
6 |
Correct |
56 ms |
26196 KB |
Output is correct |
7 |
Correct |
70 ms |
26192 KB |
Output is correct |
8 |
Correct |
57 ms |
26192 KB |
Output is correct |
9 |
Correct |
58 ms |
26228 KB |
Output is correct |
10 |
Correct |
59 ms |
26272 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8284 KB |
Output is correct |
2 |
Correct |
2 ms |
8284 KB |
Output is correct |
3 |
Correct |
2 ms |
8540 KB |
Output is correct |
4 |
Correct |
56 ms |
26208 KB |
Output is correct |
5 |
Correct |
69 ms |
26312 KB |
Output is correct |
6 |
Correct |
56 ms |
26196 KB |
Output is correct |
7 |
Correct |
70 ms |
26192 KB |
Output is correct |
8 |
Correct |
57 ms |
26192 KB |
Output is correct |
9 |
Correct |
58 ms |
26228 KB |
Output is correct |
10 |
Correct |
59 ms |
26272 KB |
Output is correct |
11 |
Correct |
8 ms |
9052 KB |
Output is correct |
12 |
Correct |
61 ms |
26192 KB |
Output is correct |
13 |
Correct |
64 ms |
26080 KB |
Output is correct |
14 |
Correct |
67 ms |
26192 KB |
Output is correct |
15 |
Correct |
78 ms |
26192 KB |
Output is correct |
16 |
Correct |
60 ms |
26196 KB |
Output is correct |
17 |
Correct |
57 ms |
26192 KB |
Output is correct |
18 |
Correct |
70 ms |
26192 KB |
Output is correct |
19 |
Correct |
57 ms |
26196 KB |
Output is correct |
20 |
Correct |
58 ms |
26192 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
77 ms |
13452 KB |
Output is correct |
2 |
Correct |
56 ms |
26324 KB |
Output is correct |
3 |
Correct |
95 ms |
27232 KB |
Output is correct |
4 |
Correct |
59 ms |
13656 KB |
Output is correct |
5 |
Correct |
70 ms |
23004 KB |
Output is correct |
6 |
Correct |
57 ms |
13772 KB |
Output is correct |
7 |
Correct |
78 ms |
28728 KB |
Output is correct |
8 |
Correct |
73 ms |
13456 KB |
Output is correct |
9 |
Correct |
57 ms |
26316 KB |
Output is correct |
10 |
Correct |
75 ms |
28416 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8280 KB |
Output is correct |
2 |
Correct |
2 ms |
8284 KB |
Output is correct |
3 |
Correct |
2 ms |
8284 KB |
Output is correct |
4 |
Correct |
2 ms |
8792 KB |
Output is correct |
5 |
Correct |
36 ms |
11828 KB |
Output is correct |
6 |
Correct |
35 ms |
24156 KB |
Output is correct |
7 |
Correct |
54 ms |
21152 KB |
Output is correct |
8 |
Correct |
28 ms |
12124 KB |
Output is correct |
9 |
Correct |
39 ms |
20600 KB |
Output is correct |
10 |
Correct |
31 ms |
12124 KB |
Output is correct |
11 |
Correct |
3 ms |
8552 KB |
Output is correct |
12 |
Correct |
3 ms |
8540 KB |
Output is correct |
13 |
Correct |
2 ms |
8696 KB |
Output is correct |
14 |
Correct |
3 ms |
8540 KB |
Output is correct |
15 |
Correct |
3 ms |
8536 KB |
Output is correct |
16 |
Correct |
3 ms |
8536 KB |
Output is correct |
17 |
Correct |
2 ms |
8540 KB |
Output is correct |
18 |
Correct |
3 ms |
8628 KB |
Output is correct |
19 |
Correct |
2 ms |
8588 KB |
Output is correct |
20 |
Correct |
2 ms |
8540 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
8280 KB |
Output is correct |
2 |
Correct |
2 ms |
8284 KB |
Output is correct |
3 |
Correct |
2 ms |
8284 KB |
Output is correct |
4 |
Correct |
2 ms |
8792 KB |
Output is correct |
5 |
Correct |
36 ms |
11828 KB |
Output is correct |
6 |
Correct |
35 ms |
24156 KB |
Output is correct |
7 |
Correct |
54 ms |
21152 KB |
Output is correct |
8 |
Correct |
28 ms |
12124 KB |
Output is correct |
9 |
Correct |
39 ms |
20600 KB |
Output is correct |
10 |
Correct |
31 ms |
12124 KB |
Output is correct |
11 |
Correct |
2 ms |
8284 KB |
Output is correct |
12 |
Correct |
2 ms |
8284 KB |
Output is correct |
13 |
Correct |
2 ms |
8540 KB |
Output is correct |
14 |
Correct |
56 ms |
26208 KB |
Output is correct |
15 |
Correct |
69 ms |
26312 KB |
Output is correct |
16 |
Correct |
56 ms |
26196 KB |
Output is correct |
17 |
Correct |
70 ms |
26192 KB |
Output is correct |
18 |
Correct |
57 ms |
26192 KB |
Output is correct |
19 |
Correct |
58 ms |
26228 KB |
Output is correct |
20 |
Correct |
59 ms |
26272 KB |
Output is correct |
21 |
Correct |
8 ms |
9052 KB |
Output is correct |
22 |
Correct |
61 ms |
26192 KB |
Output is correct |
23 |
Correct |
64 ms |
26080 KB |
Output is correct |
24 |
Correct |
67 ms |
26192 KB |
Output is correct |
25 |
Correct |
78 ms |
26192 KB |
Output is correct |
26 |
Correct |
60 ms |
26196 KB |
Output is correct |
27 |
Correct |
57 ms |
26192 KB |
Output is correct |
28 |
Correct |
70 ms |
26192 KB |
Output is correct |
29 |
Correct |
57 ms |
26196 KB |
Output is correct |
30 |
Correct |
58 ms |
26192 KB |
Output is correct |
31 |
Correct |
77 ms |
13452 KB |
Output is correct |
32 |
Correct |
56 ms |
26324 KB |
Output is correct |
33 |
Correct |
95 ms |
27232 KB |
Output is correct |
34 |
Correct |
59 ms |
13656 KB |
Output is correct |
35 |
Correct |
70 ms |
23004 KB |
Output is correct |
36 |
Correct |
57 ms |
13772 KB |
Output is correct |
37 |
Correct |
78 ms |
28728 KB |
Output is correct |
38 |
Correct |
73 ms |
13456 KB |
Output is correct |
39 |
Correct |
57 ms |
26316 KB |
Output is correct |
40 |
Correct |
75 ms |
28416 KB |
Output is correct |
41 |
Correct |
3 ms |
8552 KB |
Output is correct |
42 |
Correct |
3 ms |
8540 KB |
Output is correct |
43 |
Correct |
2 ms |
8696 KB |
Output is correct |
44 |
Correct |
3 ms |
8540 KB |
Output is correct |
45 |
Correct |
3 ms |
8536 KB |
Output is correct |
46 |
Correct |
3 ms |
8536 KB |
Output is correct |
47 |
Correct |
2 ms |
8540 KB |
Output is correct |
48 |
Correct |
3 ms |
8628 KB |
Output is correct |
49 |
Correct |
2 ms |
8588 KB |
Output is correct |
50 |
Correct |
2 ms |
8540 KB |
Output is correct |
51 |
Correct |
79 ms |
13840 KB |
Output is correct |
52 |
Correct |
60 ms |
26196 KB |
Output is correct |
53 |
Correct |
80 ms |
26144 KB |
Output is correct |
54 |
Correct |
53 ms |
13860 KB |
Output is correct |
55 |
Correct |
80 ms |
13424 KB |
Output is correct |
56 |
Correct |
62 ms |
26288 KB |
Output is correct |
57 |
Correct |
74 ms |
29012 KB |
Output is correct |
58 |
Correct |
61 ms |
13572 KB |
Output is correct |
59 |
Correct |
70 ms |
13504 KB |
Output is correct |
60 |
Correct |
68 ms |
26332 KB |
Output is correct |
61 |
Correct |
75 ms |
21896 KB |
Output is correct |
62 |
Correct |
57 ms |
13740 KB |
Output is correct |
63 |
Correct |
79 ms |
13224 KB |
Output is correct |
64 |
Correct |
59 ms |
26224 KB |
Output is correct |
65 |
Correct |
84 ms |
27428 KB |
Output is correct |
66 |
Correct |
53 ms |
13848 KB |
Output is correct |
67 |
Correct |
82 ms |
13064 KB |
Output is correct |
68 |
Correct |
64 ms |
26324 KB |
Output is correct |
69 |
Correct |
71 ms |
23640 KB |
Output is correct |
70 |
Correct |
52 ms |
13712 KB |
Output is correct |