#include <bits/stdc++.h>
#define N 100050
#define l (2*nod)
#define r (2*nod + 1)
#define mid ((a + b)/2)
#define logn 20
using namespace std;
struct qr{
int a, b, c;
};
vector<qr> Q[N];
int n, q, anc[N][logn], deep[N], ini[N], fim[N], t;
struct T
{
int tree[4*N], lazy[4*N];
void clear()
{
memset(tree, 0, sizeof tree);
memset(lazy, 0, sizeof lazy);
}
inline void prop(int nod, int a, int b)
{
if(!lazy[nod]) return;
tree[nod] += (b - a + 1)*lazy[nod];
if(a != b)
{
lazy[l] += lazy[nod];
lazy[r] += lazy[nod];
}
lazy[nod] = 0;
}
void upd(int nod, int a, int b, int i, int j, int x)
{
prop(nod, a, b);
if(j < a or i > b) return;
if(i <= a and j >= b)
{
tree[nod] += (b - a + 1)*x;
if(a != b)
{
lazy[l] += x;
lazy[r] += x;
}
return;
}
upd(l, a, mid, i, j, x), upd(r, mid + 1, b, i, j, x);
tree[nod] = tree[l] + tree[r];
}
int query(int nod, int a, int b, int i, int j)
{
prop(nod, a, b);
if(j < a or i > b) return 0;
if(i <= a and j >= b) return tree[nod];
return query(l, a, mid, i, j) + query(r, mid + 1, b, i, j);
}
} Tree[2];
vector<int> grafo[N];
inline int LCA(int u, int v)
{
if(deep[u] < deep[v]) swap(u, v);
for(int i = logn - 1; i >= 0; i--)
if(deep[u] - (1<<i) >= deep[v]) u = anc[u][i];
if(u == v) return u;
for(int i = logn - 1; i >= 0; i--)
if(anc[u][i] != -1 and anc[v][i] != -1 and anc[u][i] != anc[v][i])
u = anc[u][i], v = anc[v][i];
return anc[u][0];
}
void dfs(int x, int p)
{
anc[x][0] = p;
ini[x] = ++t;
for(auto v: grafo[x])
{
if(v == p) continue;
deep[v] = deep[x] + 1;
dfs(v, x);
}
fim[x] = t;
}
int dp[N][2], ok[N][2];
int solve(int x, int f)
{
ok[x][f] = 1;
if(dp[x][f] != -1) return dp[x][f];
int soma = 0;
for(auto v: grafo[x])
{
if(v == anc[x][0]) continue;
soma += max(solve(v, 1), solve(v, 0));
}
dp[x][f] = soma;
if(!f)
{
for(auto q: Q[x])
{
int a = q.a, b = q.b, c = q.c;
int A = Tree[0].query(1, 1, n, ini[x], ini[x]);
int B = Tree[1].query(1, 1, n, ini[x], ini[x]);
int somamax = Tree[0].query(1, 1, n, ini[a], ini[a]) - A;
int soma1 = Tree[1].query(1, 1, n, ini[a], ini[a]) - B;
somamax += Tree[0].query(1, 1, n, ini[b], ini[b]) - A;
soma1 += Tree[1].query(1, 1, n, ini[b], ini[b]) - B;
int ans = soma + c - somamax + soma1;
dp[x][f] = max(dp[x][f], ans);
}
}
if(f) Tree[1].upd(1, 1, n, ini[x], fim[x], dp[x][1]);
else Tree[0].upd(1, 1, n, ini[x], fim[x], max(dp[x][0], dp[x][1]));
return dp[x][f];
}
int main()
{
ios::sync_with_stdio(false); cin.tie(0);
cin>>n;
Tree[0].clear(), Tree[1].clear();
for(int i = 1, a, b; i < n; i++)
{
cin>>a>>b;
grafo[a].push_back(b);
grafo[b].push_back(a);
}
memset(anc, -1, sizeof anc);
dfs(1, 1);
for(int j = 1; j < logn; j++)
for(int i = 1; i <= n; i++) anc[i][j] = anc[anc[i][j - 1]][j - 1];
cin>>q;
for(int i = 1, a, b, c; i <= q; i++)
{
cin>>a>>b>>c;
int L = LCA(a, b);
Q[L].push_back({a, b, c});
}
memset(dp, -1, sizeof dp);
cout<<solve(1, 0)<<"\n";
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
19964 KB |
Output is correct |
2 |
Correct |
18 ms |
19964 KB |
Output is correct |
3 |
Correct |
21 ms |
20020 KB |
Output is correct |
4 |
Correct |
21 ms |
20052 KB |
Output is correct |
5 |
Correct |
207 ms |
25472 KB |
Output is correct |
6 |
Correct |
145 ms |
37740 KB |
Output is correct |
7 |
Correct |
255 ms |
37740 KB |
Output is correct |
8 |
Correct |
205 ms |
37740 KB |
Output is correct |
9 |
Correct |
276 ms |
37740 KB |
Output is correct |
10 |
Correct |
218 ms |
37740 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
19 ms |
37740 KB |
Output is correct |
2 |
Correct |
19 ms |
37740 KB |
Output is correct |
3 |
Correct |
22 ms |
37740 KB |
Output is correct |
4 |
Correct |
460 ms |
39688 KB |
Output is correct |
5 |
Correct |
473 ms |
39844 KB |
Output is correct |
6 |
Correct |
332 ms |
39956 KB |
Output is correct |
7 |
Correct |
387 ms |
39956 KB |
Output is correct |
8 |
Correct |
396 ms |
39956 KB |
Output is correct |
9 |
Correct |
305 ms |
39956 KB |
Output is correct |
10 |
Correct |
466 ms |
39956 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
19 ms |
37740 KB |
Output is correct |
2 |
Correct |
19 ms |
37740 KB |
Output is correct |
3 |
Correct |
22 ms |
37740 KB |
Output is correct |
4 |
Correct |
460 ms |
39688 KB |
Output is correct |
5 |
Correct |
473 ms |
39844 KB |
Output is correct |
6 |
Correct |
332 ms |
39956 KB |
Output is correct |
7 |
Correct |
387 ms |
39956 KB |
Output is correct |
8 |
Correct |
396 ms |
39956 KB |
Output is correct |
9 |
Correct |
305 ms |
39956 KB |
Output is correct |
10 |
Correct |
466 ms |
39956 KB |
Output is correct |
11 |
Correct |
57 ms |
39956 KB |
Output is correct |
12 |
Correct |
369 ms |
39956 KB |
Output is correct |
13 |
Correct |
378 ms |
39956 KB |
Output is correct |
14 |
Correct |
362 ms |
39956 KB |
Output is correct |
15 |
Correct |
451 ms |
39956 KB |
Output is correct |
16 |
Correct |
393 ms |
39956 KB |
Output is correct |
17 |
Correct |
407 ms |
40028 KB |
Output is correct |
18 |
Correct |
398 ms |
40028 KB |
Output is correct |
19 |
Correct |
374 ms |
40028 KB |
Output is correct |
20 |
Correct |
433 ms |
40028 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
504 ms |
40028 KB |
Output is correct |
2 |
Correct |
386 ms |
40028 KB |
Output is correct |
3 |
Correct |
645 ms |
40028 KB |
Output is correct |
4 |
Correct |
392 ms |
40028 KB |
Output is correct |
5 |
Correct |
441 ms |
40028 KB |
Output is correct |
6 |
Correct |
452 ms |
40028 KB |
Output is correct |
7 |
Correct |
662 ms |
40028 KB |
Output is correct |
8 |
Correct |
505 ms |
40028 KB |
Output is correct |
9 |
Correct |
352 ms |
40028 KB |
Output is correct |
10 |
Correct |
602 ms |
40028 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
19964 KB |
Output is correct |
2 |
Correct |
18 ms |
19964 KB |
Output is correct |
3 |
Correct |
21 ms |
20020 KB |
Output is correct |
4 |
Correct |
21 ms |
20052 KB |
Output is correct |
5 |
Correct |
207 ms |
25472 KB |
Output is correct |
6 |
Correct |
145 ms |
37740 KB |
Output is correct |
7 |
Correct |
255 ms |
37740 KB |
Output is correct |
8 |
Correct |
205 ms |
37740 KB |
Output is correct |
9 |
Correct |
276 ms |
37740 KB |
Output is correct |
10 |
Correct |
218 ms |
37740 KB |
Output is correct |
11 |
Correct |
22 ms |
40028 KB |
Output is correct |
12 |
Correct |
24 ms |
40028 KB |
Output is correct |
13 |
Correct |
24 ms |
40028 KB |
Output is correct |
14 |
Correct |
21 ms |
40028 KB |
Output is correct |
15 |
Correct |
21 ms |
40028 KB |
Output is correct |
16 |
Correct |
27 ms |
40028 KB |
Output is correct |
17 |
Correct |
21 ms |
40028 KB |
Output is correct |
18 |
Correct |
21 ms |
40028 KB |
Output is correct |
19 |
Correct |
22 ms |
40028 KB |
Output is correct |
20 |
Correct |
20 ms |
40028 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
19964 KB |
Output is correct |
2 |
Correct |
18 ms |
19964 KB |
Output is correct |
3 |
Correct |
21 ms |
20020 KB |
Output is correct |
4 |
Correct |
21 ms |
20052 KB |
Output is correct |
5 |
Correct |
207 ms |
25472 KB |
Output is correct |
6 |
Correct |
145 ms |
37740 KB |
Output is correct |
7 |
Correct |
255 ms |
37740 KB |
Output is correct |
8 |
Correct |
205 ms |
37740 KB |
Output is correct |
9 |
Correct |
276 ms |
37740 KB |
Output is correct |
10 |
Correct |
218 ms |
37740 KB |
Output is correct |
11 |
Correct |
19 ms |
37740 KB |
Output is correct |
12 |
Correct |
19 ms |
37740 KB |
Output is correct |
13 |
Correct |
22 ms |
37740 KB |
Output is correct |
14 |
Correct |
460 ms |
39688 KB |
Output is correct |
15 |
Correct |
473 ms |
39844 KB |
Output is correct |
16 |
Correct |
332 ms |
39956 KB |
Output is correct |
17 |
Correct |
387 ms |
39956 KB |
Output is correct |
18 |
Correct |
396 ms |
39956 KB |
Output is correct |
19 |
Correct |
305 ms |
39956 KB |
Output is correct |
20 |
Correct |
466 ms |
39956 KB |
Output is correct |
21 |
Correct |
57 ms |
39956 KB |
Output is correct |
22 |
Correct |
369 ms |
39956 KB |
Output is correct |
23 |
Correct |
378 ms |
39956 KB |
Output is correct |
24 |
Correct |
362 ms |
39956 KB |
Output is correct |
25 |
Correct |
451 ms |
39956 KB |
Output is correct |
26 |
Correct |
393 ms |
39956 KB |
Output is correct |
27 |
Correct |
407 ms |
40028 KB |
Output is correct |
28 |
Correct |
398 ms |
40028 KB |
Output is correct |
29 |
Correct |
374 ms |
40028 KB |
Output is correct |
30 |
Correct |
433 ms |
40028 KB |
Output is correct |
31 |
Correct |
504 ms |
40028 KB |
Output is correct |
32 |
Correct |
386 ms |
40028 KB |
Output is correct |
33 |
Correct |
645 ms |
40028 KB |
Output is correct |
34 |
Correct |
392 ms |
40028 KB |
Output is correct |
35 |
Correct |
441 ms |
40028 KB |
Output is correct |
36 |
Correct |
452 ms |
40028 KB |
Output is correct |
37 |
Correct |
662 ms |
40028 KB |
Output is correct |
38 |
Correct |
505 ms |
40028 KB |
Output is correct |
39 |
Correct |
352 ms |
40028 KB |
Output is correct |
40 |
Correct |
602 ms |
40028 KB |
Output is correct |
41 |
Correct |
22 ms |
40028 KB |
Output is correct |
42 |
Correct |
24 ms |
40028 KB |
Output is correct |
43 |
Correct |
24 ms |
40028 KB |
Output is correct |
44 |
Correct |
21 ms |
40028 KB |
Output is correct |
45 |
Correct |
21 ms |
40028 KB |
Output is correct |
46 |
Correct |
27 ms |
40028 KB |
Output is correct |
47 |
Correct |
21 ms |
40028 KB |
Output is correct |
48 |
Correct |
21 ms |
40028 KB |
Output is correct |
49 |
Correct |
22 ms |
40028 KB |
Output is correct |
50 |
Correct |
20 ms |
40028 KB |
Output is correct |
51 |
Correct |
406 ms |
40028 KB |
Output is correct |
52 |
Correct |
428 ms |
40028 KB |
Output is correct |
53 |
Correct |
626 ms |
40028 KB |
Output is correct |
54 |
Correct |
423 ms |
40028 KB |
Output is correct |
55 |
Correct |
524 ms |
40028 KB |
Output is correct |
56 |
Correct |
374 ms |
40028 KB |
Output is correct |
57 |
Correct |
504 ms |
40028 KB |
Output is correct |
58 |
Correct |
483 ms |
40028 KB |
Output is correct |
59 |
Correct |
452 ms |
40028 KB |
Output is correct |
60 |
Correct |
390 ms |
40028 KB |
Output is correct |
61 |
Correct |
473 ms |
40028 KB |
Output is correct |
62 |
Correct |
399 ms |
40028 KB |
Output is correct |
63 |
Correct |
474 ms |
40028 KB |
Output is correct |
64 |
Correct |
358 ms |
40028 KB |
Output is correct |
65 |
Correct |
540 ms |
40028 KB |
Output is correct |
66 |
Correct |
355 ms |
40028 KB |
Output is correct |
67 |
Correct |
441 ms |
40028 KB |
Output is correct |
68 |
Correct |
416 ms |
40028 KB |
Output is correct |
69 |
Correct |
477 ms |
40028 KB |
Output is correct |
70 |
Correct |
407 ms |
40028 KB |
Output is correct |