import sys
input = sys.stdin.readline
mod = 998244353


def dist(A, B):
    return abs(A[0] - B[0]) + abs(A[1] - B[1])


def dist2(A, B):
    return abs(A[2] - B[2])


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

dp = [[[0] * (1 << N) for _ in range(N+1)] for _ in range(N + 1)]
dp[N][N][0] = 1
for state in range(1 << N):
    for last1 in range(N + 1):
        for last2 in range(N + 1):
            if dp[last1][last2][state] == 0:
                continue
            for nxt in range(N):
                if state >> nxt & 1:
                    continue
                new_state = state | (1 << nxt)

                ok = 0
                if last1 == last2 == N:
                    ok = 1
                elif last2 == N:
                    if dist(XYK[nxt], XYK[last1]) >= A or dist2(XYK[nxt], XYK[last1]) >= B:
                        ok = 1
                else:
                    if dist(XYK[nxt], XYK[last1]) + dist(XYK[nxt], XYK[last2]) >= A or dist2(XYK[nxt], XYK[last1]) >= B:
                        ok = 1

                if ok:
                    dp[nxt][last1][new_state] = 1

ans = 1
for last1 in range(N + 1):
    for last2 in range(N + 1):
        for state in range(1 << N):
            if dp[last1][last2][state]:
                tmp = 0
                for j in range(N):
                    tmp += state >> j & 1
                ans = max(ans, tmp)
print(ans)