#include <bits/stdc++.h>
using namespace std;
#define int long long
#define form2(i, a, b) for (int i = (a); i < (b); ++i)
#define ford2(i, a, b) for (int i = (a-1); i >= (b); --i)
#define form(i, n) form2(i, 0, n)
#define ford(i, n) ford2(i, n, 0)
#define chmax(x, v) x = max(x, (v))
#define chmin(x, v) x = min(x, (v))
#define fi first
#define se second
const long long BIG = 1000000000000000000LL;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
void solve();
signed main()
{
ios::sync_with_stdio(false);
cin.tie(0);
solve();
return 0;
}
// Version classique du segment tree
// Opérations en O(log N)
// Indices 0-indexés
class SegtreeClassic
{
public:
void init(vector<int> tab);
int requete(int gauche, int droite);
void modifier(int index, int val);
private:
const int UNDEF = BIG+10;
int nbElements;
int combiner(int a, int b);
vector<int> interne;
};
void SegtreeClassic::init(vector<int> tab)
{
nbElements = tab.size();
interne.resize(2 * nbElements);
for (int ind = 0; ind < nbElements; ++ind)
interne[ind + nbElements] = tab[ind];
for (int ind = nbElements - 1; ind >= 0; --ind)
interne[ind] = combiner(interne[2*ind], interne[2*ind + 1]);
}
int SegtreeClassic::requete(int gauche, int droite)
{
int res = UNDEF;
++droite; // Pour passer à un intervalle semi-ouvert [l ; r[
gauche += nbElements;
droite += nbElements;
while (gauche < droite)
{
// Si gauche est impair, le noeud est inclus mais pas le parent
// On ajoute donc ce noeud et on passera plus tard au noeud à droite du parent
if (gauche & 1)
res = combiner(res, interne[gauche++]);
// Même raisonnement sachant que droite est exclus, d'où la {pré}-décrémentation
if (droite & 1)
res = combiner(res, interne[--droite]);
gauche /= 2;
droite /= 2;
}
return res;
}
void SegtreeClassic::modifier(int index, int val)
{
index += nbElements;
interne[index] = val;
index /= 2;
while (index > 0)
{
interne[index] = combiner(interne[2*index], interne[2*index+1]);
index /= 2;
}
}
int SegtreeClassic::combiner(int a, int b)
{
if (a == UNDEF) return b;
if (b == UNDEF) return a;
return a + b;
}
const int borne = 100*1000 + 5;
const int lgb = 19;
int nbNoeuds, nbPlans;
vector<int> adj[borne];
int prof[borne], par[borne];
int anc[lgb][borne];
int deb[borne], fin[borne];
int curTemps = 0;
void dfsInit(int nod)
{
deb[nod] = curTemps++;
anc[0][nod] = par[nod];
form2(i, 1, lgb) {
int tmp = anc[i-1][nod];
if (tmp == -1) anc[i][nod] = -1;
else anc[i][nod] = anc[i-1][tmp];
}
for (int vo : adj[nod]) if (vo != par[nod]) {
prof[vo] = prof[nod] + 1;
par[vo] = nod;
dfsInit(vo);
}
fin[nod] = curTemps++;
}
int lca(int u, int v)
{
if (u == v) return u;
if (prof[u] > prof[v]) swap(u,v); // v devient le plus profond
ford(i, lgb) {
int nv = anc[i][v];
if (nv != -1 && prof[nv] >= prof[u]) {
v = nv;
}
}
assert(prof[v] == prof[u]);
if (u == v) return u;
ford(i, lgb) {
int nu = anc[i][u];
int nv = anc[i][v];
if (nu != nv && nu != -1 && nv != -1) {
u = nu; v = nv;
}
}
assert(u != v);
assert(par[u] == par[v]);
return par[u];
}
SegtreeClassic sc;
int somEnf[borne], dp[borne];
typedef pair<pii, int> trio;
vector<trio> splitPlan[borne];
void dfsCalc(int nod)
{
for (int vo : adj[nod]) if (vo != par[nod]) {
dfsCalc(vo);
somEnf[nod] += dp[vo];
}
dp[nod] = somEnf[nod];
for (auto plan : splitPlan[nod]) {
int pushFirst = sc.requete(0, deb[plan.fi.fi]);
int pushSecond = sc.requete(0, deb[plan.fi.se]);
chmax(dp[nod], plan.se + pushFirst + pushSecond + somEnf[nod]);
}
int valPush = somEnf[nod] - dp[nod];
sc.modifier(deb[nod], valPush);
sc.modifier(fin[nod], -valPush);
}
void solve()
{
cin >> nbNoeuds;
par[0] = -1;
form(i, nbNoeuds-1) {
int u, v; cin >> u >> v;
--u; --v;
adj[u].push_back(v);
adj[v].push_back(u);
}
dfsInit(0);
assert(curTemps == 2*nbNoeuds);
sc.init(vector<int>(2*nbNoeuds, 0));
cin >> nbPlans;
form(i, nbPlans) {
int u, v, rcp; cin >> u >> v >> rcp;
--u; --v;
splitPlan[lca(u,v)].push_back({{u,v}, rcp});
}
dfsCalc(0);
cout << dp[0] << "\n";
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
5120 KB |
Output is correct |
2 |
Correct |
7 ms |
5220 KB |
Output is correct |
3 |
Correct |
7 ms |
5324 KB |
Output is correct |
4 |
Correct |
7 ms |
5376 KB |
Output is correct |
5 |
Correct |
236 ms |
31680 KB |
Output is correct |
6 |
Correct |
102 ms |
35652 KB |
Output is correct |
7 |
Correct |
235 ms |
34396 KB |
Output is correct |
8 |
Correct |
194 ms |
31736 KB |
Output is correct |
9 |
Correct |
240 ms |
33392 KB |
Output is correct |
10 |
Correct |
198 ms |
31740 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
5120 KB |
Output is correct |
2 |
Correct |
6 ms |
5120 KB |
Output is correct |
3 |
Correct |
11 ms |
5632 KB |
Output is correct |
4 |
Correct |
380 ms |
39128 KB |
Output is correct |
5 |
Correct |
293 ms |
39076 KB |
Output is correct |
6 |
Correct |
302 ms |
39264 KB |
Output is correct |
7 |
Correct |
269 ms |
39128 KB |
Output is correct |
8 |
Correct |
345 ms |
39176 KB |
Output is correct |
9 |
Correct |
328 ms |
39180 KB |
Output is correct |
10 |
Correct |
335 ms |
39132 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
5120 KB |
Output is correct |
2 |
Correct |
6 ms |
5120 KB |
Output is correct |
3 |
Correct |
11 ms |
5632 KB |
Output is correct |
4 |
Correct |
380 ms |
39128 KB |
Output is correct |
5 |
Correct |
293 ms |
39076 KB |
Output is correct |
6 |
Correct |
302 ms |
39264 KB |
Output is correct |
7 |
Correct |
269 ms |
39128 KB |
Output is correct |
8 |
Correct |
345 ms |
39176 KB |
Output is correct |
9 |
Correct |
328 ms |
39180 KB |
Output is correct |
10 |
Correct |
335 ms |
39132 KB |
Output is correct |
11 |
Correct |
22 ms |
6400 KB |
Output is correct |
12 |
Correct |
382 ms |
39180 KB |
Output is correct |
13 |
Correct |
358 ms |
39148 KB |
Output is correct |
14 |
Correct |
321 ms |
39128 KB |
Output is correct |
15 |
Correct |
370 ms |
39228 KB |
Output is correct |
16 |
Correct |
403 ms |
39112 KB |
Output is correct |
17 |
Correct |
361 ms |
39100 KB |
Output is correct |
18 |
Correct |
369 ms |
39208 KB |
Output is correct |
19 |
Correct |
302 ms |
39204 KB |
Output is correct |
20 |
Correct |
328 ms |
39256 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
490 ms |
35160 KB |
Output is correct |
2 |
Correct |
392 ms |
39252 KB |
Output is correct |
3 |
Correct |
728 ms |
37736 KB |
Output is correct |
4 |
Correct |
347 ms |
35140 KB |
Output is correct |
5 |
Correct |
601 ms |
37280 KB |
Output is correct |
6 |
Correct |
319 ms |
35292 KB |
Output is correct |
7 |
Correct |
669 ms |
36960 KB |
Output is correct |
8 |
Correct |
392 ms |
34624 KB |
Output is correct |
9 |
Correct |
378 ms |
39244 KB |
Output is correct |
10 |
Correct |
708 ms |
36484 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
5120 KB |
Output is correct |
2 |
Correct |
7 ms |
5220 KB |
Output is correct |
3 |
Correct |
7 ms |
5324 KB |
Output is correct |
4 |
Correct |
7 ms |
5376 KB |
Output is correct |
5 |
Correct |
236 ms |
31680 KB |
Output is correct |
6 |
Correct |
102 ms |
35652 KB |
Output is correct |
7 |
Correct |
235 ms |
34396 KB |
Output is correct |
8 |
Correct |
194 ms |
31736 KB |
Output is correct |
9 |
Correct |
240 ms |
33392 KB |
Output is correct |
10 |
Correct |
198 ms |
31740 KB |
Output is correct |
11 |
Correct |
8 ms |
5504 KB |
Output is correct |
12 |
Correct |
10 ms |
5632 KB |
Output is correct |
13 |
Correct |
8 ms |
5504 KB |
Output is correct |
14 |
Correct |
7 ms |
5504 KB |
Output is correct |
15 |
Correct |
8 ms |
5632 KB |
Output is correct |
16 |
Correct |
10 ms |
5504 KB |
Output is correct |
17 |
Correct |
8 ms |
5504 KB |
Output is correct |
18 |
Correct |
8 ms |
5504 KB |
Output is correct |
19 |
Correct |
8 ms |
5504 KB |
Output is correct |
20 |
Correct |
9 ms |
5504 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
5120 KB |
Output is correct |
2 |
Correct |
7 ms |
5220 KB |
Output is correct |
3 |
Correct |
7 ms |
5324 KB |
Output is correct |
4 |
Correct |
7 ms |
5376 KB |
Output is correct |
5 |
Correct |
236 ms |
31680 KB |
Output is correct |
6 |
Correct |
102 ms |
35652 KB |
Output is correct |
7 |
Correct |
235 ms |
34396 KB |
Output is correct |
8 |
Correct |
194 ms |
31736 KB |
Output is correct |
9 |
Correct |
240 ms |
33392 KB |
Output is correct |
10 |
Correct |
198 ms |
31740 KB |
Output is correct |
11 |
Correct |
6 ms |
5120 KB |
Output is correct |
12 |
Correct |
6 ms |
5120 KB |
Output is correct |
13 |
Correct |
11 ms |
5632 KB |
Output is correct |
14 |
Correct |
380 ms |
39128 KB |
Output is correct |
15 |
Correct |
293 ms |
39076 KB |
Output is correct |
16 |
Correct |
302 ms |
39264 KB |
Output is correct |
17 |
Correct |
269 ms |
39128 KB |
Output is correct |
18 |
Correct |
345 ms |
39176 KB |
Output is correct |
19 |
Correct |
328 ms |
39180 KB |
Output is correct |
20 |
Correct |
335 ms |
39132 KB |
Output is correct |
21 |
Correct |
22 ms |
6400 KB |
Output is correct |
22 |
Correct |
382 ms |
39180 KB |
Output is correct |
23 |
Correct |
358 ms |
39148 KB |
Output is correct |
24 |
Correct |
321 ms |
39128 KB |
Output is correct |
25 |
Correct |
370 ms |
39228 KB |
Output is correct |
26 |
Correct |
403 ms |
39112 KB |
Output is correct |
27 |
Correct |
361 ms |
39100 KB |
Output is correct |
28 |
Correct |
369 ms |
39208 KB |
Output is correct |
29 |
Correct |
302 ms |
39204 KB |
Output is correct |
30 |
Correct |
328 ms |
39256 KB |
Output is correct |
31 |
Correct |
490 ms |
35160 KB |
Output is correct |
32 |
Correct |
392 ms |
39252 KB |
Output is correct |
33 |
Correct |
728 ms |
37736 KB |
Output is correct |
34 |
Correct |
347 ms |
35140 KB |
Output is correct |
35 |
Correct |
601 ms |
37280 KB |
Output is correct |
36 |
Correct |
319 ms |
35292 KB |
Output is correct |
37 |
Correct |
669 ms |
36960 KB |
Output is correct |
38 |
Correct |
392 ms |
34624 KB |
Output is correct |
39 |
Correct |
378 ms |
39244 KB |
Output is correct |
40 |
Correct |
708 ms |
36484 KB |
Output is correct |
41 |
Correct |
8 ms |
5504 KB |
Output is correct |
42 |
Correct |
10 ms |
5632 KB |
Output is correct |
43 |
Correct |
8 ms |
5504 KB |
Output is correct |
44 |
Correct |
7 ms |
5504 KB |
Output is correct |
45 |
Correct |
8 ms |
5632 KB |
Output is correct |
46 |
Correct |
10 ms |
5504 KB |
Output is correct |
47 |
Correct |
8 ms |
5504 KB |
Output is correct |
48 |
Correct |
8 ms |
5504 KB |
Output is correct |
49 |
Correct |
8 ms |
5504 KB |
Output is correct |
50 |
Correct |
9 ms |
5504 KB |
Output is correct |
51 |
Correct |
461 ms |
34624 KB |
Output is correct |
52 |
Correct |
344 ms |
39192 KB |
Output is correct |
53 |
Correct |
675 ms |
36708 KB |
Output is correct |
54 |
Correct |
330 ms |
34188 KB |
Output is correct |
55 |
Correct |
402 ms |
35116 KB |
Output is correct |
56 |
Correct |
319 ms |
39132 KB |
Output is correct |
57 |
Correct |
684 ms |
37148 KB |
Output is correct |
58 |
Correct |
304 ms |
34652 KB |
Output is correct |
59 |
Correct |
428 ms |
34916 KB |
Output is correct |
60 |
Correct |
591 ms |
39232 KB |
Output is correct |
61 |
Correct |
626 ms |
36952 KB |
Output is correct |
62 |
Correct |
318 ms |
36192 KB |
Output is correct |
63 |
Correct |
431 ms |
35672 KB |
Output is correct |
64 |
Correct |
379 ms |
39232 KB |
Output is correct |
65 |
Correct |
653 ms |
37556 KB |
Output is correct |
66 |
Correct |
371 ms |
34268 KB |
Output is correct |
67 |
Correct |
420 ms |
35572 KB |
Output is correct |
68 |
Correct |
330 ms |
39084 KB |
Output is correct |
69 |
Correct |
650 ms |
36300 KB |
Output is correct |
70 |
Correct |
315 ms |
35036 KB |
Output is correct |