N,A,B=map(int, input().split())
C=[]
for i in range(N):
  x,y,k=map(int, input().split())
  C.append((x,y,k))
from collections import deque
d=deque()
#dp=[[[0]*(2**N) for _ in range(N)] for i in range(N)]
ans=1
for i in range(N):
  for j in range(N):
    if i==j:
      continue
    x,y,k=C[j];xx,yy,kk=C[i]
    bit=2**j+2**i
    f=0
    if A<=abs(x-xx)+abs(y-yy):
      f=1
    if B<=abs(k-kk):
      f=1
    if f==1:
      ans=max(ans,2)
      d.append((bit,j,i))

for i in range(3,N+1):
  nd=deque()
  while d:
    bit,p,q=d.popleft()
    for j in range(N):
      if not (bit & (1<<j)):
        f=0
        bbit=bit|(1<<j)
        x,y,k=C[p];xx,yy,kk=C[q];xxx,yyy,kkk=C[j]
        if B<=abs(kk-kkk):
          f=1
        if A<=abs(x-xxx)+abs(y-yyy)+abs(xx-xxx)+abs(yy-yyy):
          f=1
        if f==1:
          ans=max(ans,i)
          nd.append((bbit,q,j))
  d=nd
print(ans)