N, A, B = map(int, input().split())
balls = [tuple(map(int, input().split())) for _ in range(N)]

def dist(i, j):
    return abs(balls[i][0] - balls[j][0]) + abs(balls[i][1] - balls[j][1])

dp = [-1] * (1 << N)
dp[0] = 0

for S in range(1, 1 << N):
    for i in range(N):
        if (S >> i) & 1:
            T = S ^ (1 << i)
            if T == 0:
                dp[S] = max(dp[S], 1)
            else:
                for j in range(N):
                    if (T >> j) & 1:
                        if A <= dist(i, j) or abs(balls[i][2] - balls[j][2]) >= B:
                            dp[S] = max(dp[S], dp[T] + 1)
                        else:
                            U = T ^ (1 << j)
                            if U != 0:
                                for k in range(N):
                                    if (U >> k) & 1:
                                        if A <= dist(i, j) + dist(i, k):
                                            dp[S] = max(dp[S], dp[T] + 1)

ans = dp[(1 << N) - 1]
if ans == -1:
    ans = 1

print(ans)