n,a,b=map(int,input().split())
ball=[tuple(map(int,input().split())) for i in range(n)]
g=0
q=[[[0]*n for j in range(n)] for i in range(1<<n)]
for i in range(n):
	for j in range(n):
		if i!=j:
			x1,y1,k1=ball[i]
			x2,y2,k2=ball[j]
			if a<=abs(x1-x2)+abs(y1-y2) or b<=abs(k1-k2):
				q[(1<<i)+(1<<j)][i][j]=2
				g=2
for p in range(1<<n):
	for i in range(n):
		for j in range(n):
			if q[p][i][j]>0:
				x1,y1,k1=ball[i]
				x2,y2,k2=ball[j]
				for k in range(n):
					if (p>>k)&1==0:
						x3,y3,k3=ball[k]
						if a<=abs(x3-x1)+abs(y3-y1)+abs(x3-x2)+abs(y3-y2) or b<=abs(k3-k1):
							q[p+(1<<k)][k][i]=max(q[p+(1<<k)][k][i],q[p][i][j]+1)
							g=max(g,q[p+(1<<k)][k][i])
print(g)