#include <cstdio>
#include <iostream>
#include <sstream>
#include <fstream>
#include <iomanip>
#include <algorithm>
#include <cmath>
#include <string>
#include <vector>
#include <list>
#include <queue>
#include <stack>
#include <set>
#include <map>
#include <bitset>
#include <numeric>
#include <limits>
#include <climits>
#include <cfloat>
#include <functional>
using namespace std;

class Data
{
public:
    int x, y, p;
    bool operator<(const Data& d) const{
        return x < d.x;
    }
};

int main()
{
    int n, b;
    cin >> n >> b;
    vector<Data> d(n);
    for(int i=0; i<n; ++i)
        cin >> d[i].x >> d[i].y >> d[i].p;
    sort(d.begin(), d.end());

    int ans = 0;
    for(int s=0; s<n; ++s){
        for(int t=0; t<n; ++t){
            int i = 0;
            int j = 0;
            int cnt = 0;
            int sum = 0;
            while(j < n){
                do{
                    if(d[s].y <= d[j].y && d[j].y <= d[t].y){
                        ++ cnt;
                        sum += d[j].p;
                    }
                    ++ j;
                }while(j < n && d[j].x == d[j-1].x);

                while(b < sum || (0 < i && i < n && d[i].x == d[i-1].x)){
                    if(d[s].y <= d[i].y && d[i].y <= d[t].y){
                        -- cnt;
                        sum -= d[i].p;
                    }
                    ++ i;
                }

                ans = max(ans, cnt);
            }
        }
    }
    cout << ans << endl;

    return 0;
}