#include <bits/stdc++.h>
using namespace std;
#define maxn 100010
int dfsnum = 0;
int loc[maxn]; //store location in pre-order thing
int dep[maxn];
int N, M;
vector<vector<int>> adj(maxn);
int par[18][maxn]; //lca jump table
int a[maxn], b[maxn], c[maxn]; //query stuff
vector<vector<int>> quers(maxn); //queries stored at this node (i.e. I am the LCA)
int subsize[maxn]; //for hld thing
int head[maxn];
void dfs(int u, int p) {
dep[u] = p == -1 ? 1 : dep[p] + 1;
par[0][u] = p;
subsize[u] = 1;
for (int v : adj[u]) {
if (v == p) continue;
dfs(v, u);
subsize[u] += subsize[v];
}
}
int walk(int u, int k) {
for (int i = 17; i >= 0; i--) {
if (k & (1 << i)) {
u = par[i][u];
}
}
return u;
}
int lca(int u, int v) {
if (dep[u] < dep[v]) return lca(v, u);
u = walk(u, dep[u]-dep[v]);
if (u == v) return u;
for (int i = 17; i >= 0; i--) {
if (par[i][u] != par[i][v]) {
u = par[i][u];
v = par[i][v];
}
}
return par[0][u];
}
void dfs2(int u, int p, int h) {
head[u] = h;
loc[u] = ++dfsnum;
for (int v : adj[u]) {
if (v == p) continue;
if (subsize[v] > (subsize[u]-1)/2) {
dfs2(v, u, h);
}
}
for (int v : adj[u]) {
if (v == p) continue;
if (subsize[v] > (subsize[u]-1)/2) continue;
dfs2(v, u, v); //new head thing
}
}
int seg[2][maxn*4];
int qu(int qs, int qe, int ss, int se, int si, int indo) {
if (qs > qe || ss > se || qs > se || qe < ss) return 0;
if (qs <= ss && se <= qe) return seg[indo][si];
int mid = (ss + se)/2;
return qu(qs, qe, ss, mid, si*2+1, indo) +
qu(qs, qe, mid+1, se, si*2+2, indo);
}
int query(int ss, int se, int indo) {
return qu(ss, se, 1, N, 0, indo);
}
void up(int spot, int val, int ss, int se, int si, int indo) {
if (ss == se) {
seg[indo][si] += val;
return;
}
int mid = (ss+se)/2;
if (spot <= mid) {
up(spot, val, ss, mid, si*2+1, indo);
}
else up(spot, val, mid+1, se, si*2+2, indo);
seg[indo][si] = seg[indo][si*2+1] + seg[indo][si*2+2];
}
void update(int spot, int val, int indo) {
up(spot, val, 1, N, 0, indo);
}
int dp[maxn];
int chsum[maxn]; //sum of dp for my children
int queryup(int lo, int hi, int indo) {
int res = 0;
while (lo != hi) {
int ch = head[lo];
if (dep[ch] <= dep[hi]) {
ch = walk(lo, dep[lo]-dep[hi]-1);
}
res += query(loc[ch], loc[lo], indo);
lo = par[0][ch];
}
return res;
}
void dfsdp(int u, int p) {
for (int v : adj[u]) {
if (v == p) continue;
dfsdp(v, u);
chsum[u] += dp[v];
}
update(loc[u], chsum[u], 1);
dp[u] = chsum[u]; //one easy way to do it
for (int k : quers[u]) {
int ai = a[k];
int bi = b[k];
int ci = c[k];
int tmp = 0; //temporary value
tmp += queryup(ai, u, 1);
tmp += queryup(bi, u, 1);
tmp -= queryup(ai, u, 0);
tmp -= queryup(bi, u, 0);
tmp += chsum[u];
tmp += ci;
dp[u] = max(dp[u], tmp);
}
update(loc[u], dp[u], 0);
}
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> N;
int x, y;
for (int i = 0; i < N-1; i++) {
cin >> x >> y;
adj[x].push_back(y);
adj[y].push_back(x);
}
dfs(1, -1);
for (int i = 1; i < 18; i++) {
for (int u = 1; u <= N; u++) {
if (par[i-1][u] != -1) {
par[i][u] = par[i-1][par[i-1][u]];
}
else par[i][u] = -1;
}
}
dfs2(1, -1, 1);
cin >> M;
for (int i = 1; i <= M; i++) {
cin >> a[i] >> b[i] >> c[i];
quers[lca(a[i], b[i])].push_back(i);
}
dfsdp(1, -1);
cout << dp[1] << endl;
cout.flush();
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
5240 KB |
Output is correct |
2 |
Correct |
8 ms |
5300 KB |
Output is correct |
3 |
Correct |
6 ms |
5336 KB |
Output is correct |
4 |
Correct |
6 ms |
5468 KB |
Output is correct |
5 |
Correct |
154 ms |
19976 KB |
Output is correct |
6 |
Correct |
88 ms |
29320 KB |
Output is correct |
7 |
Correct |
136 ms |
29320 KB |
Output is correct |
8 |
Correct |
124 ms |
29320 KB |
Output is correct |
9 |
Correct |
148 ms |
29320 KB |
Output is correct |
10 |
Correct |
116 ms |
29320 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
29320 KB |
Output is correct |
2 |
Correct |
5 ms |
29320 KB |
Output is correct |
3 |
Correct |
7 ms |
29320 KB |
Output is correct |
4 |
Correct |
357 ms |
31572 KB |
Output is correct |
5 |
Correct |
260 ms |
31588 KB |
Output is correct |
6 |
Correct |
208 ms |
31588 KB |
Output is correct |
7 |
Correct |
257 ms |
31588 KB |
Output is correct |
8 |
Correct |
259 ms |
31588 KB |
Output is correct |
9 |
Correct |
207 ms |
31588 KB |
Output is correct |
10 |
Correct |
251 ms |
31588 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
6 ms |
29320 KB |
Output is correct |
2 |
Correct |
5 ms |
29320 KB |
Output is correct |
3 |
Correct |
7 ms |
29320 KB |
Output is correct |
4 |
Correct |
357 ms |
31572 KB |
Output is correct |
5 |
Correct |
260 ms |
31588 KB |
Output is correct |
6 |
Correct |
208 ms |
31588 KB |
Output is correct |
7 |
Correct |
257 ms |
31588 KB |
Output is correct |
8 |
Correct |
259 ms |
31588 KB |
Output is correct |
9 |
Correct |
207 ms |
31588 KB |
Output is correct |
10 |
Correct |
251 ms |
31588 KB |
Output is correct |
11 |
Correct |
27 ms |
31588 KB |
Output is correct |
12 |
Correct |
258 ms |
31588 KB |
Output is correct |
13 |
Correct |
259 ms |
31588 KB |
Output is correct |
14 |
Correct |
219 ms |
31640 KB |
Output is correct |
15 |
Correct |
272 ms |
31640 KB |
Output is correct |
16 |
Correct |
221 ms |
31696 KB |
Output is correct |
17 |
Correct |
264 ms |
31696 KB |
Output is correct |
18 |
Correct |
261 ms |
31696 KB |
Output is correct |
19 |
Correct |
230 ms |
31696 KB |
Output is correct |
20 |
Correct |
275 ms |
31696 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
733 ms |
31696 KB |
Output is correct |
2 |
Correct |
225 ms |
31696 KB |
Output is correct |
3 |
Correct |
491 ms |
31696 KB |
Output is correct |
4 |
Correct |
344 ms |
31696 KB |
Output is correct |
5 |
Correct |
359 ms |
31696 KB |
Output is correct |
6 |
Correct |
349 ms |
31696 KB |
Output is correct |
7 |
Correct |
494 ms |
31696 KB |
Output is correct |
8 |
Correct |
430 ms |
31696 KB |
Output is correct |
9 |
Correct |
219 ms |
31696 KB |
Output is correct |
10 |
Correct |
572 ms |
31696 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
5240 KB |
Output is correct |
2 |
Correct |
8 ms |
5300 KB |
Output is correct |
3 |
Correct |
6 ms |
5336 KB |
Output is correct |
4 |
Correct |
6 ms |
5468 KB |
Output is correct |
5 |
Correct |
154 ms |
19976 KB |
Output is correct |
6 |
Correct |
88 ms |
29320 KB |
Output is correct |
7 |
Correct |
136 ms |
29320 KB |
Output is correct |
8 |
Correct |
124 ms |
29320 KB |
Output is correct |
9 |
Correct |
148 ms |
29320 KB |
Output is correct |
10 |
Correct |
116 ms |
29320 KB |
Output is correct |
11 |
Correct |
9 ms |
31696 KB |
Output is correct |
12 |
Correct |
7 ms |
31696 KB |
Output is correct |
13 |
Correct |
10 ms |
31696 KB |
Output is correct |
14 |
Correct |
11 ms |
31696 KB |
Output is correct |
15 |
Correct |
8 ms |
31696 KB |
Output is correct |
16 |
Correct |
7 ms |
31696 KB |
Output is correct |
17 |
Correct |
8 ms |
31696 KB |
Output is correct |
18 |
Correct |
8 ms |
31696 KB |
Output is correct |
19 |
Correct |
7 ms |
31696 KB |
Output is correct |
20 |
Correct |
7 ms |
31696 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
5240 KB |
Output is correct |
2 |
Correct |
8 ms |
5300 KB |
Output is correct |
3 |
Correct |
6 ms |
5336 KB |
Output is correct |
4 |
Correct |
6 ms |
5468 KB |
Output is correct |
5 |
Correct |
154 ms |
19976 KB |
Output is correct |
6 |
Correct |
88 ms |
29320 KB |
Output is correct |
7 |
Correct |
136 ms |
29320 KB |
Output is correct |
8 |
Correct |
124 ms |
29320 KB |
Output is correct |
9 |
Correct |
148 ms |
29320 KB |
Output is correct |
10 |
Correct |
116 ms |
29320 KB |
Output is correct |
11 |
Correct |
6 ms |
29320 KB |
Output is correct |
12 |
Correct |
5 ms |
29320 KB |
Output is correct |
13 |
Correct |
7 ms |
29320 KB |
Output is correct |
14 |
Correct |
357 ms |
31572 KB |
Output is correct |
15 |
Correct |
260 ms |
31588 KB |
Output is correct |
16 |
Correct |
208 ms |
31588 KB |
Output is correct |
17 |
Correct |
257 ms |
31588 KB |
Output is correct |
18 |
Correct |
259 ms |
31588 KB |
Output is correct |
19 |
Correct |
207 ms |
31588 KB |
Output is correct |
20 |
Correct |
251 ms |
31588 KB |
Output is correct |
21 |
Correct |
27 ms |
31588 KB |
Output is correct |
22 |
Correct |
258 ms |
31588 KB |
Output is correct |
23 |
Correct |
259 ms |
31588 KB |
Output is correct |
24 |
Correct |
219 ms |
31640 KB |
Output is correct |
25 |
Correct |
272 ms |
31640 KB |
Output is correct |
26 |
Correct |
221 ms |
31696 KB |
Output is correct |
27 |
Correct |
264 ms |
31696 KB |
Output is correct |
28 |
Correct |
261 ms |
31696 KB |
Output is correct |
29 |
Correct |
230 ms |
31696 KB |
Output is correct |
30 |
Correct |
275 ms |
31696 KB |
Output is correct |
31 |
Correct |
733 ms |
31696 KB |
Output is correct |
32 |
Correct |
225 ms |
31696 KB |
Output is correct |
33 |
Correct |
491 ms |
31696 KB |
Output is correct |
34 |
Correct |
344 ms |
31696 KB |
Output is correct |
35 |
Correct |
359 ms |
31696 KB |
Output is correct |
36 |
Correct |
349 ms |
31696 KB |
Output is correct |
37 |
Correct |
494 ms |
31696 KB |
Output is correct |
38 |
Correct |
430 ms |
31696 KB |
Output is correct |
39 |
Correct |
219 ms |
31696 KB |
Output is correct |
40 |
Correct |
572 ms |
31696 KB |
Output is correct |
41 |
Correct |
9 ms |
31696 KB |
Output is correct |
42 |
Correct |
7 ms |
31696 KB |
Output is correct |
43 |
Correct |
10 ms |
31696 KB |
Output is correct |
44 |
Correct |
11 ms |
31696 KB |
Output is correct |
45 |
Correct |
8 ms |
31696 KB |
Output is correct |
46 |
Correct |
7 ms |
31696 KB |
Output is correct |
47 |
Correct |
8 ms |
31696 KB |
Output is correct |
48 |
Correct |
8 ms |
31696 KB |
Output is correct |
49 |
Correct |
7 ms |
31696 KB |
Output is correct |
50 |
Correct |
7 ms |
31696 KB |
Output is correct |
51 |
Correct |
450 ms |
31696 KB |
Output is correct |
52 |
Correct |
265 ms |
31696 KB |
Output is correct |
53 |
Correct |
502 ms |
31696 KB |
Output is correct |
54 |
Correct |
275 ms |
31696 KB |
Output is correct |
55 |
Correct |
760 ms |
31696 KB |
Output is correct |
56 |
Correct |
276 ms |
31696 KB |
Output is correct |
57 |
Correct |
408 ms |
31696 KB |
Output is correct |
58 |
Correct |
350 ms |
31696 KB |
Output is correct |
59 |
Correct |
444 ms |
31696 KB |
Output is correct |
60 |
Correct |
270 ms |
31696 KB |
Output is correct |
61 |
Correct |
373 ms |
31696 KB |
Output is correct |
62 |
Correct |
398 ms |
31696 KB |
Output is correct |
63 |
Correct |
713 ms |
31696 KB |
Output is correct |
64 |
Correct |
260 ms |
31696 KB |
Output is correct |
65 |
Correct |
527 ms |
31696 KB |
Output is correct |
66 |
Correct |
276 ms |
31696 KB |
Output is correct |
67 |
Correct |
784 ms |
31696 KB |
Output is correct |
68 |
Correct |
273 ms |
31696 KB |
Output is correct |
69 |
Correct |
394 ms |
31696 KB |
Output is correct |
70 |
Correct |
348 ms |
31696 KB |
Output is correct |