#include <iostream>
#include<vector>
#include<map>
#include<algorithm>

using namespace std;

int main() {
	int N, B;
	cin >> N >> B;
	vector<int> x(N), y(N), p(N);
	for (int i = 0; i < N; i++)
	{
		cin >> x[i] >> y[i] >> p[i];
	}
	map<int, int> mx, my;

	vector<int> sx(x), sy(y);
	sort(sx.begin(), sx.end());
	sort(sy.begin(), sy.end());
	for (int i = 0; i < N; i++)
	{
		mx[sx[i]] = i;
		my[sy[i]] = i;
	}

	int dp[402][402] = {};
	int dp2[402][402] = {};
	for (int i = 0; i < N; i++)
	{
		x[i] = mx[x[i]] + 1;
		y[i] = my[y[i]] + 1;
		dp[y[i]][x[i]]++;
		dp2[y[i]][x[i]] += p[i];

	}

	for (int i = 1; i <= N + 1; i++)
	{
		for (int j = 1; j <= N + 1; j++)
		{
			dp[i][j] += dp[i - 1][j];
			dp[i][j] += dp[i][j - 1];
			dp[i][j] -= dp[i - 1][j - 1];

			dp2[i][j] += dp2[i - 1][j];
			dp2[i][j] += dp2[i][j - 1];
			dp2[i][j] -= dp2[i - 1][j - 1];

		}
	}

	

	int ans = 0;

	for (int i = 0; i <= N; i++)
	{
		for (int j = 0; j <= N; j++)
		{
			int X = N + 1;
			for (int Y = i; Y <= N + 1; Y++)
			{
				while (X >= 0 && dp2[Y][X] - dp2[Y][j] - dp2[i][X] + dp2[i][j] > B) X--;
				if (X >= 0) ans = max(ans, dp[Y][X] - dp[Y][j] - dp[i][X] + dp[i][j]);

			}
		}
	}

	cout << ans << endl;

}