/**
* author: wxhtzdy
* created: 22.08.2023 09:39:57
**/
#include <bits/stdc++.h>
using namespace std;
const int MAX = 100010;
const int C = 40;
int root[MAX], ls[MAX * C], rs[MAX * C], tsz;
long long sum[MAX * C];
void Modify(int& v, int p, int l, int r, int i, long long x) {
v = ++tsz;
ls[v] = ls[p];
rs[v] = rs[p];
sum[v] = sum[p] + x;
if (l == r) {
return;
}
int mid = l + r >> 1;
if (i <= mid) {
Modify(ls[v], ls[p], l, mid, i, x);
} else {
Modify(rs[v], rs[p], mid + 1, r, i, x);
}
}
long long Query(int v, int l, int r, int ll, int rr) {
if (l > r || l > rr || r < ll || ll > rr) {
return 0LL;
}
if (ll <= l && r <= rr) {
return sum[v];
}
int mid = l + r >> 1;
return Query(ls[v], l, mid, ll, rr) + Query(rs[v], mid + 1, r, ll, rr);
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, m, k;
cin >> n >> m >> k;
vector<vector<int>> g(n);
for (int i = 1; i < n; i++) {
int p;
cin >> p;
--p;
g[p].push_back(i);
}
vector<int> x(n, -1), y(n);
for (int i = 0; i < m; i++) {
int v, d, w;
cin >> v >> d >> w;
--v;
x[v] = d;
assert(1 <= x[v] && x[v] <= k);
y[v] = w;
}
vector<vector<long long>> dp(n, vector<long long>(k));
vector<vector<int>> dd(n);
vector<int> f(n);
auto GetDp = [&](int rt, int p) {
return Query(root[rt], 1, k, 1, p);
};
function<void(int)> Solve = [&](int v) {
f[v] = v;
for (int u : g[v]) {
Solve(u);
if ((int) dd[f[u]].size() > (int) dd[f[v]].size()) {
//f[v] = f[u];
}
}
for (int u : g[v]) {
if (f[v] == f[u]) {
continue;
}
sort(dd[f[u]].begin(), dd[f[u]].end());
dd[f[u]].erase(unique(dd[f[u]].begin(), dd[f[u]].end()), dd[f[u]].end());
for (int j = 1; j < (int) dd[f[u]].size(); j++) {
assert(dd[f[u]][j] > dd[f[u]][j - 1]);
}
int sz = (int) dd[f[u]].size();
vector<int> stk;
for (int j = 0; j < sz; j++) {
if (stk.empty() || GetDp(f[u], dd[f[u]][stk.back()]) < GetDp(f[u], dd[f[u]][j])) {
stk.push_back(j);
}
}
sz = (int) stk.size();
for (int j = 0; j < sz; j++) {
long long dp_val = GetDp(f[u], dd[f[u]][stk[j]]);
Modify(root[f[v]], root[f[v]], 1, k, dd[f[u]][stk[j]], dp_val);
if (j != sz - 1) {
Modify(root[f[v]], root[f[v]], 1, k, dd[f[u]][stk[j + 1]], -dp_val);
}
}
/* long long mx = 0;
for (int j = 1; j <= k; j++) {
mx = max(mx, GetDp(f[u], j));
Modify(root[f[v]], root[f[v]], 1, k, j, mx);
if (j != k) {
Modify(root[f[v]], root[f[v]], 1, k, j + 1, -mx);
}
} */
for (int x : dd[f[u]]) {
dd[f[v]].push_back(x);
}
}
/* for (int u : g[v]) {
for (int i = 0; i < k; i++) {
long long mx = 0;
for (int j = 0; j <= i; j++) {
mx = max(mx, dp[u][j]);
}
dp[v][i] += mx;
}
} */
if (x[v] != -1) {
// dp[v][x[v]] += y[v];
Modify(root[f[v]], root[f[v]], 1, k, x[v], y[v]);
if (x[v] != k) {
Modify(root[f[v]], root[f[v]], 1, k, x[v] + 1, -y[v]);
}
dd[f[v]].push_back(x[v]);
}
};
Solve(0);
long long ans = 0;
for (int i = 1; i <= k; i++) {
ans = max(ans, GetDp(f[0], i));
}
cout << ans << '\n';
return 0;
}
Compilation message
magictree.cpp: In function 'void Modify(int&, int, int, int, int, long long int)':
magictree.cpp:23:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
23 | int mid = l + r >> 1;
| ~~^~~
magictree.cpp: In function 'long long int Query(int, int, int, int, int)':
magictree.cpp:38:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
38 | int mid = l + r >> 1;
| ~~^~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
368 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
380 ms |
1048576 KB |
Execution killed with signal 9 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
32 ms |
10452 KB |
Output is correct |
2 |
Correct |
39 ms |
17880 KB |
Output is correct |
3 |
Runtime error |
144 ms |
146964 KB |
Execution killed with signal 11 |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
73 ms |
25996 KB |
Output is correct |
2 |
Correct |
69 ms |
21728 KB |
Output is correct |
3 |
Correct |
89 ms |
39584 KB |
Output is correct |
4 |
Correct |
65 ms |
24552 KB |
Output is correct |
5 |
Correct |
68 ms |
52856 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
368 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
135 ms |
80344 KB |
Output is correct |
11 |
Correct |
106 ms |
57804 KB |
Output is correct |
12 |
Runtime error |
202 ms |
207372 KB |
Execution killed with signal 11 |
13 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
305 ms |
1048576 KB |
Execution killed with signal 9 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
368 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Correct |
32 ms |
10452 KB |
Output is correct |
11 |
Correct |
39 ms |
17880 KB |
Output is correct |
12 |
Runtime error |
144 ms |
146964 KB |
Execution killed with signal 11 |
13 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1 ms |
340 KB |
Output is correct |
2 |
Correct |
1 ms |
340 KB |
Output is correct |
3 |
Correct |
1 ms |
340 KB |
Output is correct |
4 |
Correct |
1 ms |
340 KB |
Output is correct |
5 |
Correct |
1 ms |
340 KB |
Output is correct |
6 |
Correct |
1 ms |
340 KB |
Output is correct |
7 |
Correct |
0 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
368 KB |
Output is correct |
9 |
Correct |
1 ms |
340 KB |
Output is correct |
10 |
Runtime error |
380 ms |
1048576 KB |
Execution killed with signal 9 |
11 |
Halted |
0 ms |
0 KB |
- |