n,A,B = map(int,input().split())
XYK = [list(map(int,input().split())) for i in range(n)]

dp = [[[0]*(1<<n) for i in range(n)] for j in range(n)]
for i in range(n):
    dp[i][0][1<<i] = 1

ans = 0

for b in range(1<<n):
    for i in range(n):
        for j in range(n):
            if dp[i][j][b] == 0:
                continue

            num = bin(b).count("1")
            ans = max(ans,num)
            x1,y1,k1 = XYK[i]
            x2,y2,k2 = XYK[j]

            for k in range(n):
                if b >> k & 1:
                    continue
                x3,y3,k3 = XYK[k]
                if num == 1:
                    if abs(x1-x3)+abs(y1-y3) >= A:
                        dp[k][i][b|1<<k] = 1
                        continue

                if abs(k1-k3) >= B:
                    dp[k][i][b|1<<k] = 1
                    continue

                if num >= 2 and abs(x1-x3)+abs(y1-y3) + abs(x2-x3)+abs(y2-y3) >= A:
                    dp[k][i][b|1<<k] = 1
                    continue
print(ans)