#include <bits/stdc++.h>
using namespace std;
#define REP(i,m,n) for(int i=(int)(m);i<(int)(n);i++)
#define rep(i,n) REP(i,0,n)
#define pb(a) push_back(a)
#define F first
#define S second
typedef pair<int,int> P;
typedef pair<P,int> P2;

int main() {
  int n,b,ans=0;
  cin >> n >> b;
  P2 a[n];
  rep(i,n) cin >> a[i].F.F >> a[i].F.S >> a[i].S;
  sort(a,a+n);
  rep(i,n) {
    if(i && a[i].F.F==a[i-1].F.F) continue; 
    REP(j,i,n) {
      if(j<n-1 && a[j].F.F==a[j+1].F.F) continue;
      vector<P2> v;
      REP(k,i,j+1) v.pb(P2(P(a[k].F.S,a[k].F.F),a[k].S));
      sort(v.begin(),v.end());
      int d[v.size()+1];
      d[0]=0;
      rep(k,v.size()) d[k+1]=d[k]+v[k].S;
      rep(k,v.size()) {
	if(k && v[k].F.F==v[k-1].F.F) continue;
	REP(l,k,v.size()) {
	  if(l<v.size()-1 && v[l].F.F==v[l+1].F.F) continue;
	  if(d[l+1]-d[k]<=b) ans=max(ans,l-k+1);
	}
      }
    }
  }
  cout << ans << endl;
  return 0;
}