R=range
def J():
	return map(int,input().split())
N,A,B=J()
L=R(N)
Z=[list(J())for i in L]
P=R(1<<N)
D=[[[S>>i==1and i==j for j in L]for i in L]for S in P]
a=1
for S in P:
	for h in R(N**3):
		i,j,k=h%N,h//N%N,h//N**2
		d,v,w=D[S][i][j],Z[j],Z[k]
		D[S|1<<k][j][k]=d=max(D[S|1<<k][j][k],d+(S>>k&1<1)*(d and abs(w[0]-Z[i][0])+abs(w[1]-Z[i][1])+(i!=j)*(abs(w[0]-v[0])+abs(w[1]-v[1]))>=A or abs(w[2]-v[2])>=B))
		a=max(a,d)
print(a)