import sys
read=sys.stdin.buffer.read
readline=sys.stdin.buffer.readline
readlines=sys.stdin.buffer.readlines

n, b=map(int, readline().split())
xyp=list(map(int, read().split()))
xs=xyp[::3]
ys=xyp[1::3]
ps=xyp[2::3]
qs=list(zip(xs, ys, ps))
qs.sort()
ans=0
from bisect import bisect_left
for i in range(n):
    if i>0 and qs[i-1][0]==qs[i][0]:
        continue
    z=[]
    for j in range(i, n):
        if j<n-1 and qs[j+1][0]==qs[j][0]:
            continue
        k=bisect_left(z, qs[j][1:])
        z=z[:k]+[qs[j][1:]]+z[k:]
        s=0
        l=0
        for r, q in enumerate(z):
            s+=q[1]
            if r<len(z)-1 and z[r+1][0]==q[0]:
                continue
            while l<=r and (s>b or (l>0 and z[l-1][0]==z[l][0])):
                s-=z[l][1]
                l+=1
            if ans<r-l+1:
                ans=r-l+1
print(ans)