#include <bits/stdc++.h>
using namespace std;
const int MAXN = 1e5 + 10;
const int MAXK = 21;
#define int long long
array<vector<int>, MAXN> grafo;
array<vector<tuple<int, int, int>>, MAXN> plans;
array<array<int, MAXK>, MAXN> bnLift;
array<int, MAXN> prof, sub, tin, tout, head;
array<array<int, 2>, MAXN> dp;
array<int, 4*MAXN> seg;
int temp = 0;
int N;
void update(int pos, int ini, int fim, int id, int val)
{
if (id < ini || id > fim) return;
if (ini == fim)
{
seg[pos] = val;
return;
}
int m = (ini + fim) >> 1;
int e = 2*pos; int d = 2*pos + 1;
update(e, ini, m, id, val);
update(d, m+1, fim, id, val);
seg[pos] = seg[e] + seg[d];
}
int query(int pos, int ini, int fim, int p, int q)
{
if (q < ini || p > fim) return 0;
if (p <= ini && fim <= q) return seg[pos];
int m = (ini + fim) >> 1;
int e = 2*pos; int d = 2*pos + 1;
return (query(e, ini, m, p, q) + query(d, m+1, fim, p, q));
}
void dfsProf(int v, int p)
{
sub[v] = 1; prof[v] = prof[p] + 1;
bnLift[v][0] = p;
for (int k = 1; k < MAXK; k++) bnLift[v][k] = bnLift[bnLift[v][k-1]][k-1];
for (auto &viz : grafo[v])
{
if (viz == p) continue;
dfsProf(viz, v);
sub[v] += sub[viz];
if (grafo[v][0] == p || sub[grafo[v][0]] < sub[viz]) swap(viz, grafo[v][0]);
}
}
void dfsInit(int v, int p, int paiCur)
{
tin[v] = ++temp; head[v] = paiCur;
for (auto viz : grafo[v])
{
if (viz == p) continue;
if (viz == grafo[v][0]) dfsInit(viz, v, paiCur);
else dfsInit(viz, v, viz);
}
tout[v] = temp;
}
//Path from x to y
int query_path(int x, int y)
{
if (head[x] == head[y]) return query(1, 1, N, tin[y]+1, tin[x]);
else return (query(1, 1, N, tin[head[x]], tin[x]) + query_path(bnLift[head[x]][0], y));
}
int lca(int a, int b)
{
if (prof[a] < prof[b]) swap(a, b);
int jump = prof[a] - prof[b];
for (int k = 0; k < MAXK; k++) if (jump & (1 << k)) a = bnLift[a][k];
if (a == b) return a;
for (int k = MAXK-1; k >= 0; k--)
if (bnLift[a][k] != bnLift[b][k]) a = bnLift[a][k], b = bnLift[b][k];
return bnLift[a][0];
}
void dfsDp(int v, int p)
{
dp[v][0] = dp[v][1] = 0;
for (auto viz : grafo[v])
{
if (viz == p) continue;
dfsDp(viz, v);
dp[v][0] += dp[viz][1];
}
dp[v][1] = dp[v][0];
for (auto [X, Y, C] : plans[v])
{
int aux = dp[v][0];
aux += query_path(X, v);
aux += query_path(Y, v);
aux += C;
dp[v][1] = max(dp[v][1], aux);
}
update(1, 1, N, tin[v], dp[v][0] - dp[v][1]);
}
int32_t main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> N;
for (int i = 1; i < N; i++)
{
int X, Y;
cin >> X >> Y;
grafo[X].push_back(Y);
grafo[Y].push_back(X);
}
dfsProf(1, 1); dfsInit(1, 1, 1);
dfsDp(1, 1);
int M;
cin >> M;
for (int i = 1; i <= M; i++)
{
int X, Y, C;
cin >> X >> Y >> C;
if (prof[X] > prof[Y]) swap(X, Y);
plans[lca(X, Y)].emplace_back(X, Y, C);
}
dfsDp(1, 1);
cout << max(dp[1][0], dp[1][1]) << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
2 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
5332 KB |
Output is correct |
5 |
Correct |
118 ms |
32844 KB |
Output is correct |
6 |
Correct |
72 ms |
39896 KB |
Output is correct |
7 |
Correct |
128 ms |
37516 KB |
Output is correct |
8 |
Correct |
97 ms |
33092 KB |
Output is correct |
9 |
Correct |
118 ms |
36044 KB |
Output is correct |
10 |
Correct |
84 ms |
33036 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4992 KB |
Output is correct |
3 |
Correct |
3 ms |
5332 KB |
Output is correct |
4 |
Correct |
148 ms |
45948 KB |
Output is correct |
5 |
Correct |
146 ms |
46008 KB |
Output is correct |
6 |
Correct |
128 ms |
45952 KB |
Output is correct |
7 |
Correct |
142 ms |
45896 KB |
Output is correct |
8 |
Correct |
142 ms |
45900 KB |
Output is correct |
9 |
Correct |
150 ms |
46008 KB |
Output is correct |
10 |
Correct |
154 ms |
45924 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4992 KB |
Output is correct |
3 |
Correct |
3 ms |
5332 KB |
Output is correct |
4 |
Correct |
148 ms |
45948 KB |
Output is correct |
5 |
Correct |
146 ms |
46008 KB |
Output is correct |
6 |
Correct |
128 ms |
45952 KB |
Output is correct |
7 |
Correct |
142 ms |
45896 KB |
Output is correct |
8 |
Correct |
142 ms |
45900 KB |
Output is correct |
9 |
Correct |
150 ms |
46008 KB |
Output is correct |
10 |
Correct |
154 ms |
45924 KB |
Output is correct |
11 |
Correct |
12 ms |
6612 KB |
Output is correct |
12 |
Correct |
146 ms |
46156 KB |
Output is correct |
13 |
Correct |
166 ms |
46328 KB |
Output is correct |
14 |
Correct |
130 ms |
46256 KB |
Output is correct |
15 |
Correct |
161 ms |
46248 KB |
Output is correct |
16 |
Correct |
130 ms |
46248 KB |
Output is correct |
17 |
Correct |
154 ms |
46184 KB |
Output is correct |
18 |
Correct |
150 ms |
46200 KB |
Output is correct |
19 |
Correct |
129 ms |
46156 KB |
Output is correct |
20 |
Correct |
145 ms |
46232 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
281 ms |
35736 KB |
Output is correct |
2 |
Correct |
131 ms |
43440 KB |
Output is correct |
3 |
Correct |
291 ms |
40736 KB |
Output is correct |
4 |
Correct |
175 ms |
36208 KB |
Output is correct |
5 |
Correct |
214 ms |
40088 KB |
Output is correct |
6 |
Correct |
173 ms |
36312 KB |
Output is correct |
7 |
Correct |
313 ms |
39836 KB |
Output is correct |
8 |
Correct |
235 ms |
35816 KB |
Output is correct |
9 |
Correct |
137 ms |
43468 KB |
Output is correct |
10 |
Correct |
266 ms |
38712 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
2 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
5332 KB |
Output is correct |
5 |
Correct |
118 ms |
32844 KB |
Output is correct |
6 |
Correct |
72 ms |
39896 KB |
Output is correct |
7 |
Correct |
128 ms |
37516 KB |
Output is correct |
8 |
Correct |
97 ms |
33092 KB |
Output is correct |
9 |
Correct |
118 ms |
36044 KB |
Output is correct |
10 |
Correct |
84 ms |
33036 KB |
Output is correct |
11 |
Correct |
4 ms |
5332 KB |
Output is correct |
12 |
Correct |
3 ms |
5332 KB |
Output is correct |
13 |
Correct |
4 ms |
5416 KB |
Output is correct |
14 |
Correct |
4 ms |
5332 KB |
Output is correct |
15 |
Correct |
4 ms |
5332 KB |
Output is correct |
16 |
Correct |
3 ms |
5332 KB |
Output is correct |
17 |
Correct |
3 ms |
5332 KB |
Output is correct |
18 |
Correct |
3 ms |
5332 KB |
Output is correct |
19 |
Correct |
3 ms |
5332 KB |
Output is correct |
20 |
Correct |
3 ms |
5332 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
4948 KB |
Output is correct |
2 |
Correct |
2 ms |
4948 KB |
Output is correct |
3 |
Correct |
2 ms |
4948 KB |
Output is correct |
4 |
Correct |
3 ms |
5332 KB |
Output is correct |
5 |
Correct |
118 ms |
32844 KB |
Output is correct |
6 |
Correct |
72 ms |
39896 KB |
Output is correct |
7 |
Correct |
128 ms |
37516 KB |
Output is correct |
8 |
Correct |
97 ms |
33092 KB |
Output is correct |
9 |
Correct |
118 ms |
36044 KB |
Output is correct |
10 |
Correct |
84 ms |
33036 KB |
Output is correct |
11 |
Correct |
3 ms |
4948 KB |
Output is correct |
12 |
Correct |
2 ms |
4992 KB |
Output is correct |
13 |
Correct |
3 ms |
5332 KB |
Output is correct |
14 |
Correct |
148 ms |
45948 KB |
Output is correct |
15 |
Correct |
146 ms |
46008 KB |
Output is correct |
16 |
Correct |
128 ms |
45952 KB |
Output is correct |
17 |
Correct |
142 ms |
45896 KB |
Output is correct |
18 |
Correct |
142 ms |
45900 KB |
Output is correct |
19 |
Correct |
150 ms |
46008 KB |
Output is correct |
20 |
Correct |
154 ms |
45924 KB |
Output is correct |
21 |
Correct |
12 ms |
6612 KB |
Output is correct |
22 |
Correct |
146 ms |
46156 KB |
Output is correct |
23 |
Correct |
166 ms |
46328 KB |
Output is correct |
24 |
Correct |
130 ms |
46256 KB |
Output is correct |
25 |
Correct |
161 ms |
46248 KB |
Output is correct |
26 |
Correct |
130 ms |
46248 KB |
Output is correct |
27 |
Correct |
154 ms |
46184 KB |
Output is correct |
28 |
Correct |
150 ms |
46200 KB |
Output is correct |
29 |
Correct |
129 ms |
46156 KB |
Output is correct |
30 |
Correct |
145 ms |
46232 KB |
Output is correct |
31 |
Correct |
281 ms |
35736 KB |
Output is correct |
32 |
Correct |
131 ms |
43440 KB |
Output is correct |
33 |
Correct |
291 ms |
40736 KB |
Output is correct |
34 |
Correct |
175 ms |
36208 KB |
Output is correct |
35 |
Correct |
214 ms |
40088 KB |
Output is correct |
36 |
Correct |
173 ms |
36312 KB |
Output is correct |
37 |
Correct |
313 ms |
39836 KB |
Output is correct |
38 |
Correct |
235 ms |
35816 KB |
Output is correct |
39 |
Correct |
137 ms |
43468 KB |
Output is correct |
40 |
Correct |
266 ms |
38712 KB |
Output is correct |
41 |
Correct |
4 ms |
5332 KB |
Output is correct |
42 |
Correct |
3 ms |
5332 KB |
Output is correct |
43 |
Correct |
4 ms |
5416 KB |
Output is correct |
44 |
Correct |
4 ms |
5332 KB |
Output is correct |
45 |
Correct |
4 ms |
5332 KB |
Output is correct |
46 |
Correct |
3 ms |
5332 KB |
Output is correct |
47 |
Correct |
3 ms |
5332 KB |
Output is correct |
48 |
Correct |
3 ms |
5332 KB |
Output is correct |
49 |
Correct |
3 ms |
5332 KB |
Output is correct |
50 |
Correct |
3 ms |
5332 KB |
Output is correct |
51 |
Correct |
231 ms |
38604 KB |
Output is correct |
52 |
Correct |
146 ms |
46116 KB |
Output is correct |
53 |
Correct |
256 ms |
41632 KB |
Output is correct |
54 |
Correct |
172 ms |
38800 KB |
Output is correct |
55 |
Correct |
358 ms |
38472 KB |
Output is correct |
56 |
Correct |
149 ms |
46224 KB |
Output is correct |
57 |
Correct |
257 ms |
42400 KB |
Output is correct |
58 |
Correct |
183 ms |
38760 KB |
Output is correct |
59 |
Correct |
222 ms |
38576 KB |
Output is correct |
60 |
Correct |
159 ms |
46188 KB |
Output is correct |
61 |
Correct |
222 ms |
42468 KB |
Output is correct |
62 |
Correct |
184 ms |
38912 KB |
Output is correct |
63 |
Correct |
298 ms |
38496 KB |
Output is correct |
64 |
Correct |
145 ms |
46180 KB |
Output is correct |
65 |
Correct |
259 ms |
42836 KB |
Output is correct |
66 |
Correct |
173 ms |
38544 KB |
Output is correct |
67 |
Correct |
292 ms |
39056 KB |
Output is correct |
68 |
Correct |
150 ms |
46156 KB |
Output is correct |
69 |
Correct |
216 ms |
41224 KB |
Output is correct |
70 |
Correct |
184 ms |
38916 KB |
Output is correct |