from itertools import permutations

def max_balls(N, A, B, balls):
    max_count = 0
    for perm in permutations(range(N)):
        count = 1
        for i in range(1, N):
            if i == 1:
                if abs(balls[perm[i]][0] - balls[perm[i-1]][0]) + abs(balls[perm[i]][1] - balls[perm[i-1]][1]) >= A:
                    count += 1
            elif i >= 2:
                if abs(balls[perm[i]][2] - balls[perm[i-1]][2]) >= B or abs(balls[perm[i]][0] - balls[perm[i-1]][0]) + abs(balls[perm[i]][1] - balls[perm[i-1]][1]) + abs(balls[perm[i]][0] - balls[perm[i-2]][0]) + abs(balls[perm[i]][1] - balls[perm[i-2]][1]) >= A:
                    count += 1
        max_count = max(max_count, count)
    return max_count

N, A, B = map(int, input().split())
balls = []
for _ in range(N):
    x, y, k = map(int, input().split())
    balls.append((x, y, k))

print(max_balls(N, A, B, balls))