import math
x = [0] * 15
y = [0] * 15
def d(a, b):
    return abs(x[a] - x[b]) + abs(y[a] - y[b])
n, a, b = map(int, input().split())
c = n + 1
k = [0] * 15

for i in range(1, n + 1):
    x[i], y[i], k[i] = map(int, input().split())

dp = [[[0] * (n + 1) for _ in range(n + 1)] for _ in range(1 << c)]

for i in range(1, n + 1):
    dp[(1 << i) + 1][0][i] = 1

for i in range(1 << c):
    for j in range(n + 1):
        for l in range(1, n + 1):
            if j == l:
                continue
            if ((1 << j) & i) == 0 or ((1 << l) & i) == 0:
                continue
            for m in range(n + 1):
                if m != 0 and j == 0:
                    continue
                if m == 0:
                    if d(l, j) >= a or abs(k[l] - k[j]) >= b:
                        if m == l or j == m:
                            continue
                        dp[i ^ (1 << l)][m][j] = max(dp[i ^ (1 << l)][m][j], dp[i ^ (1 << l)][m][j] + 1)
                else:
                    if d(l, j) + d(l, m) >= a or abs(k[l] - k[j]) >= b:
                        if m == l or j == m:
                            continue
                        dp[i ^ (1 << l)][m][j] = max(dp[i ^ (1 << l)][m][j], dp[i ^ (1 << l)][m][j] + 1)

ans = 0
for i in range(1 << c):
    for j in range(n + 1):
        for l in range(n + 1):
            ans = max(ans, dp[i][j][l])

print(ans)