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]
ans=0
for xl in xs:
    for xr in xs:
        if xl>xr:
            continue
        z=[(y, p) for x, y, p in zip(xs, ys, ps) if xl<=x and x<=xr]
        z.sort()
        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)