#include <iostream>
#include <algorithm>
#include <cstring>
using namespace std;
const int N = 110;
int n,m;
int w[N],v[N],root;
int h[N],e[N],ne[N],idx;
int f[N][N];
void add(int a, int b) {
e[idx]=b;
ne[idx]=h[a];
h[a]=idx++;
}
void dfs(int u) {
for(int i = v[u]; i <= m; ++i) f[u][i] = w[u];
for(int i = h[u]; ~i; i = ne[i]) {
int son = e[i];
dfs(son);
for(int j = m; j >= v[u]; --j) {
for(int k = 0 ; k <= j - v[u]; ++k) {
f[u][j] = max(f[u][j],f[u][j - k] + f[son][k]);
}
}
}
}
int main() {
#ifdef ONLINE_JUDGE
#else
freopen("in.txt","r",stdin);
freopen("out.txt","w",stdout);
#endif // ONLINE_JUDGE
cin>>n>>m;
int p;
memset(h,-1,sizeof(h));
for(int i = 1; i <= n; ++i) {
cin>>v[i]>>w[i]>>p;
if(p == -1) root = i;
else add(p,i);
}
dfs(root);
cout<<f[root][m]<<endl;
return 0;
}