#include <bits/stdc++.h>
#define ll long long
#define INF 1000000005
#define MOD 1000000007
#define EPS 1e-10
#define rep(i,n) for(int i=0;i<(int)n;++i)
#define each(a, b) for(auto (a): (b))
#define all(v) (v).begin(),(v).end()
#define fi first
#define se second
#define pb push_back
#define show(x) cout <<#x<<" = "<<(x)<<endl
#define spair(p) cout <<#p<<": "<<p.fi<<" "<<p.se<<endl
#define svec(v) cout<<#v<<":";rep(kbrni,v.size())cout<<" "<<v[kbrni];cout<<endl
#define sset(s) cout<<#s<<":";each(kbrni,s)cout <<" "<<kbrni;cout<<endl

using namespace std;

typedef pair<int,int>P;
typedef pair<P,int>PP;

const int MAX_N = 100005;

vector<P> vec[400];

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    int n,B;
    cin >> n >> B;
    vector<int> p(n);
    vector<int> x(n),y(n);
    vector<PP> pos(n);
    rep(i,n){
        cin >> x[i] >> y[i] >> p[i];;
        pos[i] = PP(P(y[i],x[i]),i);
    }
    sort(all(pos));
    sort(all(x));
    sort(all(y));
    x.erase(unique(all(x)),x.end());
    x.pb(INF);
    y.erase(unique(all(y)),y.end());
    int sz = (int)y.size();
    rep(i,n){
        P a = pos[i].fi;
        int b = pos[i].se;
        int id = lower_bound(all(y),a.fi) - y.begin();
        vec[id].pb(P(a.se,b));
    }
    int ans = 0;
    rep(i,x.size()){
        for(int j=i+1;j<(int)x.size();j++){
            deque<P> deq;
            int sm = 0;
            int cnt = 0;
            rep(k,sz){
                int pl = 0;
                int num = 0;
                rep(l,vec[k].size()){
                    P a = vec[k][l];
                    if(x[i] <= a.fi && a.fi < x[j]){
                        pl += p[a.se];
                        num++;
                    }
                }
                sm += pl;
                cnt += num;
                deq.pb(P(pl,num));
                if(sm <= B){
                    ans = max(ans,cnt);
                }else{
                    while(sm > B){
                        sm -= deq[0].fi;
                        cnt -= deq[0].se;
                        deq.pop_front();
                    }
                }
            }
        }
    }
    cout << ans << endl;
    return 0;
}