#include <bits/stdc++.h>
using namespace std;
map<int,int> mx,my;
vector<pair<int,int>> ls[402];
int main(){
	int n,b;	cin>>n>>b;
	int x[n],y[n],p[n];
	for(int i=0;i<n;i++)	cin>>x[i]>>y[i]>>p[i],mx[x[i]]=my[y[i]]=0;
	mx[(1<<30)]=mx[-(1<<30)]=my[(1<<30)]=my[-(1<<30)]=0;
	int cnt=0;
	for(auto it=mx.begin();it!=mx.end();it++)	it->second=cnt++;
	cnt=0;
	for(auto it=my.begin();it!=my.end();it++)	it->second=cnt++;
	for(int i=0;i<n;i++)	ls[my[y[i]]].push_back(make_pair(x[i],p[i]));
	int ans=0;
	for(int x1=0;x1<(int)mx.size();x1++){
		for(int x2=x1;x2<(int)mx.size();x2++){
			int y1=0,point=0,tmp=0;
			for(int y2=0;y2<(int)my.size();y2++){
				for(auto it=ls[y2].begin();it!=ls[y2].end();it++){
					if(x1<=mx[it->first]&&mx[it->first]<=x2)	point+=it->second,tmp++;
				}
				while(point>b){
					for(auto it=ls[y1].begin();it!=ls[y1].end();it++){
						if(x1<=mx[it->first]&&mx[it->first]<=x2)	point-=it->second,tmp--;
					}
					y1++;
				}
				ans=max(ans,tmp);
			}
		}
	}
	cout<<ans<<endl;
	return 0;
}