#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
const int MOD = 1000000007;
const ll INF = 1e18;
const int MX = 100001;
template<int SZ> struct LCA {
const int MAXK = 32-__builtin_clz(SZ);
int N, R = 1; // vertices from 1 to N, R = root
vi edges[SZ];
int parK[32-__builtin_clz(SZ)][SZ], depth[SZ];
void addEdge(int u, int v) {
edges[u].pb(v), edges[v].pb(u);
}
void dfs(int u, int prev){
parK[0][u] = prev;
depth[u] = depth[prev]+1;
for (int v: edges[u]) if (v != prev) dfs(v, u);
}
void construct() {
dfs(R, 0);
FOR(k,1,MAXK) FOR(i,1,N+1)
parK[k][i] = parK[k-1][parK[k-1][i]];
}
int lca(int u, int v){
if (depth[u] < depth[v]) swap(u,v);
F0Rd(k,MAXK) if (depth[u] >= depth[v]+(1<<k)) u = parK[k][u];
F0Rd(k,MAXK) if (parK[k][u] != parK[k][v]) u = parK[k][u], v = parK[k][v];
if(u != v) u = parK[0][u], v = parK[0][v];
return u;
}
int dist(int u, int v) {
return depth[u]+depth[v]-2*depth[lca(u,v)];
}
};
LCA<MX> L;
template<class T, int SZ> struct BIT {
T bit[SZ+1];
BIT() { memset(bit,0,sizeof bit); }
void upd(int k, T val) { // add val to index k
for( ;k <= SZ; k += (k&-k)) bit[k] += val;
}
void upd(int l, int r, T val) {
upd(l,val);
upd(r+1,-val);
}
T query(int k) {
T temp = 0;
for (;k > 0;k -= (k&-k)) temp += bit[k];
return temp;
}
T query(int l, int r) { return query(r)-query(l-1); } // range query [l,r]
};
BIT<ll,MX> child, path;
int N, nex = 1, rev[MX];
ll val[MX];
vi adj[MX];
vector<array<int,3>> que[MX];
void dfs(int x, int y) {
pi range; range.f = nex++;
rev[x] = range.f;
ll cur = 0;
for (int i: adj[x]) if (i != y) {
dfs(i,x);
cur += val[i];
}
val[x] = cur;
range.s = nex-1;
// cout << x << " " << range.f << " " << range.s << "\n";
for (auto a: que[x]) {
/*cout << "OOH " << x << " " << a[0] << ' ' << a[1] << ' ' << a[2] << ' ' << cur << "\n";
cout << child.query(a[0])+child.query(a[1]) << "\n";
cout << -path.query(a[0]) << " " << -path.query(a[1]) << "\n";*/
val[x] = max(val[x],a[2]+cur
+child.query(rev[a[0]])+child.query(rev[a[1]])
-path.query(rev[a[0]])-path.query(rev[a[1]]));
}
// cout << "OH " << x << " " << val[x] << " " << sz(que[x]) << "\n";
// if (x == 4) cout << "AH " << x << " " << y << " " << val[x] << "\n";
child.upd(range.f,range.s,cur);
path.upd(range.f,range.s,val[x]);
}
int main() {
ios_base::sync_with_stdio(0); cin.tie(0);
cin >> N;
F0R(i,N-1) {
int x,y; cin >> x >> y;
adj[x].pb(y), adj[y].pb(x);
L.addEdge(x,y);
}
L.N = N;
L.construct();
int M; cin >> M;
F0R(i,M) {
int x,y,z; cin >> x >> y >> z;
// cout << x << " " << y << ' ' << z << ' ' << L.lca(x,y) << "\n";
que[L.lca(x,y)].pb({x,y,z});
}
dfs(1,0);
cout << val[1];
}
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( )
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
8956 KB |
Output is correct |
2 |
Correct |
11 ms |
9088 KB |
Output is correct |
3 |
Correct |
10 ms |
9140 KB |
Output is correct |
4 |
Correct |
12 ms |
9304 KB |
Output is correct |
5 |
Correct |
246 ms |
25164 KB |
Output is correct |
6 |
Correct |
140 ms |
35292 KB |
Output is correct |
7 |
Correct |
243 ms |
35292 KB |
Output is correct |
8 |
Correct |
152 ms |
35292 KB |
Output is correct |
9 |
Correct |
220 ms |
35292 KB |
Output is correct |
10 |
Correct |
192 ms |
35292 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
35292 KB |
Output is correct |
2 |
Correct |
13 ms |
35292 KB |
Output is correct |
3 |
Correct |
13 ms |
35292 KB |
Output is correct |
4 |
Correct |
352 ms |
44540 KB |
Output is correct |
5 |
Correct |
233 ms |
47064 KB |
Output is correct |
6 |
Correct |
248 ms |
49512 KB |
Output is correct |
7 |
Correct |
258 ms |
51908 KB |
Output is correct |
8 |
Correct |
264 ms |
54324 KB |
Output is correct |
9 |
Correct |
228 ms |
56840 KB |
Output is correct |
10 |
Correct |
276 ms |
59240 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
14 ms |
35292 KB |
Output is correct |
2 |
Correct |
13 ms |
35292 KB |
Output is correct |
3 |
Correct |
13 ms |
35292 KB |
Output is correct |
4 |
Correct |
352 ms |
44540 KB |
Output is correct |
5 |
Correct |
233 ms |
47064 KB |
Output is correct |
6 |
Correct |
248 ms |
49512 KB |
Output is correct |
7 |
Correct |
258 ms |
51908 KB |
Output is correct |
8 |
Correct |
264 ms |
54324 KB |
Output is correct |
9 |
Correct |
228 ms |
56840 KB |
Output is correct |
10 |
Correct |
276 ms |
59240 KB |
Output is correct |
11 |
Correct |
31 ms |
59240 KB |
Output is correct |
12 |
Correct |
302 ms |
62396 KB |
Output is correct |
13 |
Correct |
276 ms |
65216 KB |
Output is correct |
14 |
Correct |
292 ms |
67880 KB |
Output is correct |
15 |
Correct |
326 ms |
70620 KB |
Output is correct |
16 |
Correct |
286 ms |
73412 KB |
Output is correct |
17 |
Correct |
346 ms |
76128 KB |
Output is correct |
18 |
Correct |
276 ms |
78900 KB |
Output is correct |
19 |
Correct |
240 ms |
81552 KB |
Output is correct |
20 |
Correct |
319 ms |
84452 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
348 ms |
84452 KB |
Output is correct |
2 |
Correct |
286 ms |
86916 KB |
Output is correct |
3 |
Correct |
509 ms |
86916 KB |
Output is correct |
4 |
Correct |
302 ms |
86916 KB |
Output is correct |
5 |
Correct |
424 ms |
89948 KB |
Output is correct |
6 |
Correct |
261 ms |
89948 KB |
Output is correct |
7 |
Correct |
516 ms |
94564 KB |
Output is correct |
8 |
Correct |
370 ms |
94564 KB |
Output is correct |
9 |
Correct |
213 ms |
104152 KB |
Output is correct |
10 |
Correct |
424 ms |
104152 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
8956 KB |
Output is correct |
2 |
Correct |
11 ms |
9088 KB |
Output is correct |
3 |
Correct |
10 ms |
9140 KB |
Output is correct |
4 |
Correct |
12 ms |
9304 KB |
Output is correct |
5 |
Correct |
246 ms |
25164 KB |
Output is correct |
6 |
Correct |
140 ms |
35292 KB |
Output is correct |
7 |
Correct |
243 ms |
35292 KB |
Output is correct |
8 |
Correct |
152 ms |
35292 KB |
Output is correct |
9 |
Correct |
220 ms |
35292 KB |
Output is correct |
10 |
Correct |
192 ms |
35292 KB |
Output is correct |
11 |
Correct |
14 ms |
104152 KB |
Output is correct |
12 |
Correct |
13 ms |
104152 KB |
Output is correct |
13 |
Correct |
13 ms |
104152 KB |
Output is correct |
14 |
Correct |
12 ms |
104152 KB |
Output is correct |
15 |
Correct |
14 ms |
104152 KB |
Output is correct |
16 |
Correct |
14 ms |
104152 KB |
Output is correct |
17 |
Correct |
13 ms |
104152 KB |
Output is correct |
18 |
Correct |
17 ms |
104152 KB |
Output is correct |
19 |
Correct |
14 ms |
104152 KB |
Output is correct |
20 |
Correct |
11 ms |
104152 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
8956 KB |
Output is correct |
2 |
Correct |
11 ms |
9088 KB |
Output is correct |
3 |
Correct |
10 ms |
9140 KB |
Output is correct |
4 |
Correct |
12 ms |
9304 KB |
Output is correct |
5 |
Correct |
246 ms |
25164 KB |
Output is correct |
6 |
Correct |
140 ms |
35292 KB |
Output is correct |
7 |
Correct |
243 ms |
35292 KB |
Output is correct |
8 |
Correct |
152 ms |
35292 KB |
Output is correct |
9 |
Correct |
220 ms |
35292 KB |
Output is correct |
10 |
Correct |
192 ms |
35292 KB |
Output is correct |
11 |
Correct |
14 ms |
35292 KB |
Output is correct |
12 |
Correct |
13 ms |
35292 KB |
Output is correct |
13 |
Correct |
13 ms |
35292 KB |
Output is correct |
14 |
Correct |
352 ms |
44540 KB |
Output is correct |
15 |
Correct |
233 ms |
47064 KB |
Output is correct |
16 |
Correct |
248 ms |
49512 KB |
Output is correct |
17 |
Correct |
258 ms |
51908 KB |
Output is correct |
18 |
Correct |
264 ms |
54324 KB |
Output is correct |
19 |
Correct |
228 ms |
56840 KB |
Output is correct |
20 |
Correct |
276 ms |
59240 KB |
Output is correct |
21 |
Correct |
31 ms |
59240 KB |
Output is correct |
22 |
Correct |
302 ms |
62396 KB |
Output is correct |
23 |
Correct |
276 ms |
65216 KB |
Output is correct |
24 |
Correct |
292 ms |
67880 KB |
Output is correct |
25 |
Correct |
326 ms |
70620 KB |
Output is correct |
26 |
Correct |
286 ms |
73412 KB |
Output is correct |
27 |
Correct |
346 ms |
76128 KB |
Output is correct |
28 |
Correct |
276 ms |
78900 KB |
Output is correct |
29 |
Correct |
240 ms |
81552 KB |
Output is correct |
30 |
Correct |
319 ms |
84452 KB |
Output is correct |
31 |
Correct |
348 ms |
84452 KB |
Output is correct |
32 |
Correct |
286 ms |
86916 KB |
Output is correct |
33 |
Correct |
509 ms |
86916 KB |
Output is correct |
34 |
Correct |
302 ms |
86916 KB |
Output is correct |
35 |
Correct |
424 ms |
89948 KB |
Output is correct |
36 |
Correct |
261 ms |
89948 KB |
Output is correct |
37 |
Correct |
516 ms |
94564 KB |
Output is correct |
38 |
Correct |
370 ms |
94564 KB |
Output is correct |
39 |
Correct |
213 ms |
104152 KB |
Output is correct |
40 |
Correct |
424 ms |
104152 KB |
Output is correct |
41 |
Correct |
14 ms |
104152 KB |
Output is correct |
42 |
Correct |
13 ms |
104152 KB |
Output is correct |
43 |
Correct |
13 ms |
104152 KB |
Output is correct |
44 |
Correct |
12 ms |
104152 KB |
Output is correct |
45 |
Correct |
14 ms |
104152 KB |
Output is correct |
46 |
Correct |
14 ms |
104152 KB |
Output is correct |
47 |
Correct |
13 ms |
104152 KB |
Output is correct |
48 |
Correct |
17 ms |
104152 KB |
Output is correct |
49 |
Correct |
14 ms |
104152 KB |
Output is correct |
50 |
Correct |
11 ms |
104152 KB |
Output is correct |
51 |
Correct |
356 ms |
104152 KB |
Output is correct |
52 |
Correct |
360 ms |
112220 KB |
Output is correct |
53 |
Correct |
510 ms |
112220 KB |
Output is correct |
54 |
Correct |
326 ms |
112220 KB |
Output is correct |
55 |
Correct |
414 ms |
112220 KB |
Output is correct |
56 |
Correct |
306 ms |
123312 KB |
Output is correct |
57 |
Correct |
430 ms |
123312 KB |
Output is correct |
58 |
Correct |
282 ms |
123312 KB |
Output is correct |
59 |
Correct |
389 ms |
123312 KB |
Output is correct |
60 |
Correct |
232 ms |
134356 KB |
Output is correct |
61 |
Correct |
377 ms |
134356 KB |
Output is correct |
62 |
Correct |
270 ms |
134356 KB |
Output is correct |
63 |
Correct |
457 ms |
134356 KB |
Output is correct |
64 |
Correct |
312 ms |
145280 KB |
Output is correct |
65 |
Correct |
470 ms |
145280 KB |
Output is correct |
66 |
Correct |
264 ms |
145280 KB |
Output is correct |
67 |
Correct |
347 ms |
145280 KB |
Output is correct |
68 |
Correct |
264 ms |
156316 KB |
Output is correct |
69 |
Correct |
402 ms |
156316 KB |
Output is correct |
70 |
Correct |
279 ms |
156316 KB |
Output is correct |