#include <iostream>
#include <vector>
#include <algorithm>
#include <string>
#include <sstream>
#include <cstring>
#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <queue>
#include <stack>
#include <map>
#include <set>
#include <numeric>
#include <cctype>
#include <tuple>
#include <array>
#include <climits>
#include <bitset>
#include <cassert>
#include <unordered_map>

#ifdef _MSC_VER
#include <agents.h>
#endif

#define FOR(i, a, b) for(int i = (a); i < (int)(b); ++i)
#define rep(i, n) FOR(i, 0, n)
#define ALL(v) v.begin(), v.end()
#define REV(v) v.rbegin(), v.rend()
#define MEMSET(v, s) memset(v, s, sizeof(v))
#define UNIQUE(v) (v).erase(unique(ALL(v)), (v).end())
#define MP make_pair
#define MT make_tuple

using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> P;

int main(){
	cin.tie(0);
	ios::sync_with_stdio(false);
	cout.setf(ios::fixed);
	cout.precision(20);

	int n, b;
	cin >> n >> b;

	vector<int> x(n), y(n), p(n);
	vector<tuple<int, int, int>> v(n);

	rep(i, n) cin >> x[i] >> y[i] >> p[i];
	rep(i, n) v[i] = MT(x[i], y[i], p[i]);
	sort(ALL(v));
	rep(i, n){
		tie(x[i], y[i], p[i]) = v[i];
	}

	int ans = 0;
	rep(i, n) rep(j, n){
		int y1 = y[i], y2 = y[j];

		if (y1 > y2) continue;

		int l = 0, r = 0;
		int sum = 0, cnt = 0;

		int lastl = -1, lastr = -1;
		while (1){
			while (r < n && sum <= b){
				if (sum <= b) ans = max(ans, cnt);
				lastr = r;
				while (r < n && x[lastr] == x[r]){
					if (y1 <= y[r] && y[r] <= y2){
						++cnt;
						sum += p[r];
					}
					++r;
				}
			}
			if (sum <= b) ans = max(ans, cnt);
			if (l >= r) break;

			lastl = l;
			while (l < n && x[lastl] == x[l]){
				if (y1 <= y[l] && y[l] <= y2){
					--cnt;
					sum -= p[l];
				}
				++l;
			}
			if (sum <= b) ans = max(ans, cnt);
		}		
	}
	cout << ans << endl;

}