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Submitted 2026-09-13 — all 1 sample case(s) passed.
cpp
// P2014 [CTSC1997] 选课
// 树形背包(依赖背包):j 门课需要选 j-1 门真正的课 + 虚拟根
// dp[u][j] = 在 u 的子树里选 j 门课、且 u 必选时的最大学分
#include <bits/stdc++.h>
using namespace std;
const int NEG = -1e9;
int n, m;
vector<int> ch[305];
int s[305];
int dp[305][305]; // dp[u][j], j = 0..sz[u]
int sz[305];
void dfs(int u) {
// u must be taken: exactly one course consumed
for (int j = 0; j <= m + 1; ++j) dp[u][j] = NEG;
dp[u][1] = s[u]; // s[0] = 0 for the virtual root
sz[u] = 1;
for (int v : ch[u]) {
dfs(v);
for (int j = min(sz[u], m + 1); j >= 1; --j) {
if (dp[u][j] == NEG) continue;
for (int k = 1; k <= min(sz[v], m + 1 - j); ++k) {
if (dp[v][k] == NEG) continue;
dp[u][j + k] = max(dp[u][j + k], dp[u][j] + dp[v][k]);
}
}
sz[u] = min(sz[u] + sz[v], m + 1);
}
}
int main() {
scanf("%d %d", &n, &m);
for (int i = 1; i <= n; ++i) {
int k, sc;
scanf("%d %d", &k, &sc);
s[i] = sc;
ch[k].push_back(i); // k = 0 -> virtual root
}
if (m > n) {
printf("0\n");
return 0;
}
dfs(0);
printf("%d\n", max(0, dp[0][m + 1]));
return 0;
}