#include <iostream>
#include <vector>
#include <algorithm>
#include <map>
using namespace std;

#define RREP(i,s,e) for (i = s; i >= e; i--)
#define rrep(i,n) RREP(i,(int)(n)-1,0)
#define REP(i,s,e) for (i = s; i <= e; i++)
#define rep(i,n) REP(i,0,(int)(n)-1)
#define INF 100000000

typedef long long ll;

int main() {
    int i, j, n, b;
    int x[400], y[400], p[400];
    int points[401][401] {};
    int cnt[401][401] {};
    map<int,int> mpx, mpy;
    cin >> n >> b;
    rep (i,n) {
        cin >> x[i] >> y[i] >> p[i];
        mpx[x[i]]++;
        mpy[y[i]]++;
    }
    j = 1;
    for (auto& e : mpx) e.second = j++;
    j = 1;
    for (auto& e : mpy) e.second = j++;
    rep (i,n) {
        x[i] = mpx[x[i]];
        y[i] = mpy[y[i]];
        points[x[i]][y[i]] = p[i];
        cnt[x[i]][y[i]] = 1;
    }
    rep (i,mpx.size()+1) REP (j,1,mpy.size()) {
        points[i][j] += points[i][j-1];
        cnt[i][j] += cnt[i][j-1];
    }
    rep (j,mpy.size()+1) REP (i,1,mpx.size()) {
        points[i][j] += points[i-1][j];
        cnt[i][j] += cnt[i-1][j];
    }
    int ans = 0;
    REP (i,1,mpx.size()) REP (j,i,mpx.size()) {
        int k, l;
        k = l = 1;
        while (l <= mpy.size()) {
            int pnt = points[j][l] - points[j][k-1] - points[i-1][l] + points[i-1][k-1];
            int num = cnt[j][l] - cnt[j][k-1] - cnt[i-1][l] + cnt[i-1][k-1];
            if (pnt <= b) {
                ans = max(ans,num);
                l++;
            }
            else if (k == l)
                l++;
            else
                k++;
        }
    }
    cout << ans << endl;
    return 0;
}