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#include <bits/stdc++.h>
using namespace std;
const int N = 110, M = N << 1;
int v[N], w[N];
int n, m, root;
int f[N][N];
// 链式前向星
int e[M], h[N], idx, ne[M];
void add(int a, int b) {
e[idx] = b, ne[idx] = h[a], h[a] = idx++;
}
void dfs(int u) {
for (int j = w[u]; j <= m; j++) f[u][j] = v[u];
for (int i = h[u]; ~i; i = ne[i]) {
int son = e[i];
dfs(son);
for (int j = m; j >= w[u]; j--)
for (int k = 0; k <= j - w[u]; k++)
f[u][j] = max(f[u][j], f[u][j - k] + f[son][k]);
}
}
int main() {
memset(h, -1, sizeof h);
cin >> n >> m;
for (int i = 1; i <= n; i++) {
int p;
cin >> w[i] >> v[i] >> p;
if (p == -1)
root = i;
else
add(p, i);
}
dfs(root);
printf("%d\n", f[root][m]);
return 0;
}