import sys
input = sys.stdin.readline

N, B = map(int, input().split())
X, Y, P = [0] * N, [0] * N, [0] * N
XS = set()
for i in range(N):
    X[i], Y[i], P[i] = map(int, input().split())
    XS.add(X[i])

from collections import *
def solve(L):
    inf = 10 ** 18
    L.sort()
    K = len(L)
    L.append((inf, inf))
    Q = deque()
    now = -1
    val = 0
    temp = 0
    for i in range(K):
        Q.append(L[i])
        val += L[i][1]
        if L[i][0] == L[i + 1][0]:
            continue
        while Q:
            if val > B or Q[0][0] == now:
                now = Q[0][0]
                val -= Q[0][1]
                Q.popleft()
            else:
                break
        temp = max(temp, len(Q))
    return temp


XL = sorted(list(XS))
M = len(XL)
ans = 0
for i in range(M):
    for j in range(i, M):
        left = XL[i]
        right = XL[j]
        D = []
        for k in range(N):
            if left <= X[k] <= right:
                D.append((Y[k], P[k]))
        ans = max(ans, solve(D))

print(ans)