from collections import defaultdict
from operator import itemgetter
import sys
input = sys.stdin.buffer.readline
sys.setrecursionlimit(10 ** 7)
inf = 10**18

N, B = map(int, input().split())
P = list(tuple(map(int, input().split())) for _ in range(N))
P.sort(key=itemgetter(1))
X, _, _ = zip(*P)
X = sorted(set(X))

ans = 0

for i in range(len(X)):
    for j in range(i, len(X)):
        l = 0
        r = 0
        cnt = 0
        score = 0
        while r < N:
            yr = P[r][1]
            while r < N and P[r][1] == yr:
                if X[i] <= P[r][0] <= X[j]:
                    cnt += 1
                    score += P[r][2]
                r += 1
            while score > B:
                yl = P[l][1]
                while l < N and P[l][1] == yl:
                    if X[i] <= P[l][0] <= X[j]:
                        cnt -= 1
                        score -= P[l][2]
                    l += 1
            ans = max(ans, cnt)

print(ans)