#include <bits/stdc++.h>
using namespace std;
using ari2 = array<int, 2>;
using ari3 = array<int, 3>;
#define vt vector
#define size(x) (int((x).size()))
#define all(x) begin(x), end(x)
#define REP(a,b,c,d) for(int a=(b);(d)>0?a<=(c):a>=(c);a+=(d))
#define FOR(a,b,c) REP(a,b,c,1)
#define ROF(a,b,c) REP(a,b,c,-1)
constexpr int mxN = 100005;
int N, M;
vt<int> adj[mxN];
int szs[mxN], hson[mxN], parent[mxN], lift[mxN][17];
void dfs_szs(int i, int p) {
FOR(j, 1, 16)
lift[i][j] = lift[lift[i][j-1]][j-1];
parent[i] = p;
szs[i] = 1;
hson[i] = -1;
for (int j : adj[i])
if (j != p) {
lift[j][0] = i;
dfs_szs(j, i);
szs[i] += szs[j];
if (hson[i] < 0 || szs[j] > szs[hson[i]])
hson[i] = j;
}
}
int head[mxN], tin[mxN], tout[mxN], timer;
void dfs_hld(int i) {
tin[i] = timer++;
if (hson[i] >= 0) {
head[hson[i]] = head[i];
dfs_hld(hson[i]);
}
for (int j : adj[i])
if (j != parent[i] && j != hson[i]) {
head[j] = j;
dfs_hld(j);
}
tout[i] = timer-1;
}
bool ia(int a, int b) {
return tin[a] <= tin[b] && tin[b] <= tout[a];
}
int LCA(int a, int b) {
ROF(j, 16, 0)
if (!ia(lift[a][j], b))
a = lift[a][j];
return ia(a, b) ? a : lift[a][0];
}
struct ST {
int st[mxN<<1];
void add(int i, int v) {
for (st[i+=N] += v; i > 1; i >>= 1)
st[i>>1] = st[i] + st[i^1];
}
void pset(int i, int v) {
for (st[i+=N] = v; i > 1; i >>= 1)
st[i>>1] = st[i] + st[i^1];
}
int query(int l, int r) {
int ret = 0;
for (l+=N, r+=N+1; l<r; l>>=1, r>>=1) {
if (l & 1)
ret += st[l++];
if (r & 1)
ret += st[--r];
}
return ret;
}
} dp, sum_dp;
vt<ari3> paths[mxN];
void dfs(int i) {
for (int j : adj[i])
if (j != parent[i])
dfs(j);
int res = sum_dp.query(tin[i], tin[i]);
for (auto [a, b, c] : paths[i]) {
int x = sum_dp.query(tin[i], tin[i]) + c;
FOR(_, 1, 2) {
if (a != i) {
for (; a >= 0 && tin[a] > tin[i]; a = parent[head[a]]) {
int l = max(tin[head[a]], tin[i]+1);
int r = tin[a];
x += sum_dp.query(l, r);
x -= dp.query(l, r);
}
}
swap(a, b);
}
res = max(res, x);
}
#ifdef DEBUG
cout << "dp[" << i+1 << "] = " << res << '\n';
#endif
dp.pset(tin[i], res);
if (parent[i] >= 0)
sum_dp.add(tin[parent[i]], res);
}
signed main() {
#ifndef DEBUG
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
#endif
cin >> N;
FOR(_, 2, N) {
int a, b;
cin >> a >> b, a--, b--;
adj[a].push_back(b);
adj[b].push_back(a);
}
dfs_szs(0, -1);
dfs_hld(0);
cin >> M;
FOR(_, 1, M) {
int a, b, c;
cin >> a >> b >> c, a--, b--;
paths[LCA(a, b)].push_back({a, b, c});
#ifdef DEBUG
cout << "LCA(" << a+1 << ", " << b+1 << ") = " << LCA(a, b)+1 << '\n';
#endif
}
dfs(0);
cout << dp.query(0, 0) << '\n';
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
9564 KB |
Output is correct |
2 |
Correct |
2 ms |
9564 KB |
Output is correct |
3 |
Correct |
2 ms |
9564 KB |
Output is correct |
4 |
Correct |
2 ms |
9568 KB |
Output is correct |
5 |
Correct |
48 ms |
20160 KB |
Output is correct |
6 |
Correct |
41 ms |
30836 KB |
Output is correct |
7 |
Correct |
72 ms |
27096 KB |
Output is correct |
8 |
Correct |
47 ms |
20400 KB |
Output is correct |
9 |
Correct |
70 ms |
24976 KB |
Output is correct |
10 |
Correct |
43 ms |
20316 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
9560 KB |
Output is correct |
2 |
Correct |
2 ms |
9564 KB |
Output is correct |
3 |
Correct |
2 ms |
9560 KB |
Output is correct |
4 |
Correct |
107 ms |
34160 KB |
Output is correct |
5 |
Correct |
111 ms |
34160 KB |
Output is correct |
6 |
Correct |
92 ms |
34240 KB |
Output is correct |
7 |
Correct |
113 ms |
34096 KB |
Output is correct |
8 |
Correct |
130 ms |
34100 KB |
Output is correct |
9 |
Correct |
91 ms |
34192 KB |
Output is correct |
10 |
Correct |
106 ms |
34240 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
9560 KB |
Output is correct |
2 |
Correct |
2 ms |
9564 KB |
Output is correct |
3 |
Correct |
2 ms |
9560 KB |
Output is correct |
4 |
Correct |
107 ms |
34160 KB |
Output is correct |
5 |
Correct |
111 ms |
34160 KB |
Output is correct |
6 |
Correct |
92 ms |
34240 KB |
Output is correct |
7 |
Correct |
113 ms |
34096 KB |
Output is correct |
8 |
Correct |
130 ms |
34100 KB |
Output is correct |
9 |
Correct |
91 ms |
34192 KB |
Output is correct |
10 |
Correct |
106 ms |
34240 KB |
Output is correct |
11 |
Correct |
12 ms |
10584 KB |
Output is correct |
12 |
Correct |
109 ms |
34420 KB |
Output is correct |
13 |
Correct |
119 ms |
34772 KB |
Output is correct |
14 |
Correct |
99 ms |
34488 KB |
Output is correct |
15 |
Correct |
110 ms |
34488 KB |
Output is correct |
16 |
Correct |
100 ms |
34364 KB |
Output is correct |
17 |
Correct |
110 ms |
34476 KB |
Output is correct |
18 |
Correct |
108 ms |
34388 KB |
Output is correct |
19 |
Correct |
101 ms |
34384 KB |
Output is correct |
20 |
Correct |
111 ms |
34412 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
127 ms |
22896 KB |
Output is correct |
2 |
Correct |
91 ms |
34060 KB |
Output is correct |
3 |
Correct |
164 ms |
29984 KB |
Output is correct |
4 |
Correct |
80 ms |
23332 KB |
Output is correct |
5 |
Correct |
136 ms |
29124 KB |
Output is correct |
6 |
Correct |
87 ms |
23420 KB |
Output is correct |
7 |
Correct |
161 ms |
28916 KB |
Output is correct |
8 |
Correct |
117 ms |
23156 KB |
Output is correct |
9 |
Correct |
91 ms |
34268 KB |
Output is correct |
10 |
Correct |
162 ms |
27524 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
9564 KB |
Output is correct |
2 |
Correct |
2 ms |
9564 KB |
Output is correct |
3 |
Correct |
2 ms |
9564 KB |
Output is correct |
4 |
Correct |
2 ms |
9568 KB |
Output is correct |
5 |
Correct |
48 ms |
20160 KB |
Output is correct |
6 |
Correct |
41 ms |
30836 KB |
Output is correct |
7 |
Correct |
72 ms |
27096 KB |
Output is correct |
8 |
Correct |
47 ms |
20400 KB |
Output is correct |
9 |
Correct |
70 ms |
24976 KB |
Output is correct |
10 |
Correct |
43 ms |
20316 KB |
Output is correct |
11 |
Correct |
3 ms |
9564 KB |
Output is correct |
12 |
Correct |
3 ms |
9840 KB |
Output is correct |
13 |
Correct |
3 ms |
9796 KB |
Output is correct |
14 |
Correct |
2 ms |
9564 KB |
Output is correct |
15 |
Correct |
3 ms |
9564 KB |
Output is correct |
16 |
Correct |
3 ms |
9564 KB |
Output is correct |
17 |
Correct |
3 ms |
9564 KB |
Output is correct |
18 |
Correct |
3 ms |
9572 KB |
Output is correct |
19 |
Correct |
2 ms |
9564 KB |
Output is correct |
20 |
Correct |
3 ms |
9828 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
9564 KB |
Output is correct |
2 |
Correct |
2 ms |
9564 KB |
Output is correct |
3 |
Correct |
2 ms |
9564 KB |
Output is correct |
4 |
Correct |
2 ms |
9568 KB |
Output is correct |
5 |
Correct |
48 ms |
20160 KB |
Output is correct |
6 |
Correct |
41 ms |
30836 KB |
Output is correct |
7 |
Correct |
72 ms |
27096 KB |
Output is correct |
8 |
Correct |
47 ms |
20400 KB |
Output is correct |
9 |
Correct |
70 ms |
24976 KB |
Output is correct |
10 |
Correct |
43 ms |
20316 KB |
Output is correct |
11 |
Correct |
2 ms |
9560 KB |
Output is correct |
12 |
Correct |
2 ms |
9564 KB |
Output is correct |
13 |
Correct |
2 ms |
9560 KB |
Output is correct |
14 |
Correct |
107 ms |
34160 KB |
Output is correct |
15 |
Correct |
111 ms |
34160 KB |
Output is correct |
16 |
Correct |
92 ms |
34240 KB |
Output is correct |
17 |
Correct |
113 ms |
34096 KB |
Output is correct |
18 |
Correct |
130 ms |
34100 KB |
Output is correct |
19 |
Correct |
91 ms |
34192 KB |
Output is correct |
20 |
Correct |
106 ms |
34240 KB |
Output is correct |
21 |
Correct |
12 ms |
10584 KB |
Output is correct |
22 |
Correct |
109 ms |
34420 KB |
Output is correct |
23 |
Correct |
119 ms |
34772 KB |
Output is correct |
24 |
Correct |
99 ms |
34488 KB |
Output is correct |
25 |
Correct |
110 ms |
34488 KB |
Output is correct |
26 |
Correct |
100 ms |
34364 KB |
Output is correct |
27 |
Correct |
110 ms |
34476 KB |
Output is correct |
28 |
Correct |
108 ms |
34388 KB |
Output is correct |
29 |
Correct |
101 ms |
34384 KB |
Output is correct |
30 |
Correct |
111 ms |
34412 KB |
Output is correct |
31 |
Correct |
127 ms |
22896 KB |
Output is correct |
32 |
Correct |
91 ms |
34060 KB |
Output is correct |
33 |
Correct |
164 ms |
29984 KB |
Output is correct |
34 |
Correct |
80 ms |
23332 KB |
Output is correct |
35 |
Correct |
136 ms |
29124 KB |
Output is correct |
36 |
Correct |
87 ms |
23420 KB |
Output is correct |
37 |
Correct |
161 ms |
28916 KB |
Output is correct |
38 |
Correct |
117 ms |
23156 KB |
Output is correct |
39 |
Correct |
91 ms |
34268 KB |
Output is correct |
40 |
Correct |
162 ms |
27524 KB |
Output is correct |
41 |
Correct |
3 ms |
9564 KB |
Output is correct |
42 |
Correct |
3 ms |
9840 KB |
Output is correct |
43 |
Correct |
3 ms |
9796 KB |
Output is correct |
44 |
Correct |
2 ms |
9564 KB |
Output is correct |
45 |
Correct |
3 ms |
9564 KB |
Output is correct |
46 |
Correct |
3 ms |
9564 KB |
Output is correct |
47 |
Correct |
3 ms |
9564 KB |
Output is correct |
48 |
Correct |
3 ms |
9572 KB |
Output is correct |
49 |
Correct |
2 ms |
9564 KB |
Output is correct |
50 |
Correct |
3 ms |
9828 KB |
Output is correct |
51 |
Correct |
136 ms |
23328 KB |
Output is correct |
52 |
Correct |
109 ms |
34408 KB |
Output is correct |
53 |
Correct |
167 ms |
27912 KB |
Output is correct |
54 |
Correct |
85 ms |
23444 KB |
Output is correct |
55 |
Correct |
156 ms |
23172 KB |
Output is correct |
56 |
Correct |
113 ms |
34388 KB |
Output is correct |
57 |
Correct |
148 ms |
28752 KB |
Output is correct |
58 |
Correct |
82 ms |
23580 KB |
Output is correct |
59 |
Correct |
110 ms |
23380 KB |
Output is correct |
60 |
Correct |
114 ms |
34520 KB |
Output is correct |
61 |
Correct |
133 ms |
29004 KB |
Output is correct |
62 |
Correct |
84 ms |
23480 KB |
Output is correct |
63 |
Correct |
116 ms |
23104 KB |
Output is correct |
64 |
Correct |
112 ms |
34488 KB |
Output is correct |
65 |
Correct |
177 ms |
28916 KB |
Output is correct |
66 |
Correct |
79 ms |
23504 KB |
Output is correct |
67 |
Correct |
117 ms |
23324 KB |
Output is correct |
68 |
Correct |
112 ms |
34384 KB |
Output is correct |
69 |
Correct |
134 ms |
27220 KB |
Output is correct |
70 |
Correct |
92 ms |
23604 KB |
Output is correct |