import sys

input = sys.stdin.readline


def main():
    N, A, B = map(int, input().split())
    X, Y, K = [0] * N, [0] * N, [0] * N
    for i in range(N):
        X[i], Y[i], K[i] = map(int, input().split())

    ok = [[[False] * N for _ in range(N)] for _ in range(N)]
    # a -> b -> c
    for a in range(N):
        for b in range(N):
            for c in range(N):
                if a == b or a == c or b == c: continue
                d = abs(X[c] - X[a]) + abs(Y[c] - Y[a]) + abs(X[c] - X[b]) + abs(Y[c] - Y[b])
                v = abs(K[c] - K[b])
                if d >= A or v >= B:
                    ok[a][b][c] = True

    dp = [[[False] * N for _ in range(N)] for _ in range(1 << N)]
    # a -> b
    for a in range(N):
        for b in range(N):
            if a == b: continue
            d = abs(X[b] - X[a]) + abs(Y[b] - Y[a])
            v = abs(K[b] - K[a])
            if d >= A or v >= B:
                dp[(1 << a) + (1 << b)][a][b] = True
    for S in range(1, 1 << N):
        for a in range(N):
            if ((S >> a) & 1) == 0: continue
            for b in range(N):
                if ((S >> b) & 1) == 0: continue
                if not dp[S][a][b]: continue
                for c in range(N):
                    if ((S >> c) & 1) == 1: continue
                    if not ok[a][b][c]: continue
                    dp[S + (1 << c)][b][c] = True

    ans = 1
    for S in range(1, 1 << N):
        for a in range(N):
            for b in range(N):
                if dp[S][a][b]:
                    ans = max(ans, bin(S).count("1"))
    print(ans)


if __name__ == "__main__":
    main()