#include <bits/stdc++.h>

using namespace std;

#define REP(i,a,b) for(int i=a;i<(int)b;i++)
#define rep(i,n) REP(i,0,n)

#define chmax(a,x) a = max(a, x)

typedef long long ll;

ll N, B;
typedef pair<double, double> pdd;
typedef pair<pdd, double> pd3;
pd3 p[444];

int main() {

  cin >> N >> B;
  rep(i, N) {
    double x, y, sc; cin >> x >> y >> sc;
    p[i] = {{x, y}, sc};
  }

  sort(p, p+N);

  ll ans = 0;

  rep(i, N) REP(j, i+1, N) {
    int L = i, R = i;
    ll sum = 0;
    while(L <= j && R <= j) {
      if(sum + p[R].second <= B) {
        sum += p[R++].second;
        chmax(ans, (ll)(R-L));
      }
      else {
        sum -= p[L++].second;
        if(sum < 0) { R = L; sum = 0; }
      }
    }
  }

  cout << ans << endl;

  return 0;
}