#include <bits/stdc++.h>
using namespace std;
#define FOR(i,m,n) for(int i=(m);i<(n);++i)
#define REP(i,n) FOR(i,0,n)
#define ALL(v) (v).begin(),(v).end()
using ll = long long;
constexpr int INF = 0x3f3f3f3f;
constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL;
constexpr double EPS = 1e-8;
constexpr int MOD = 998244353;
// constexpr int MOD = 1000000007;
constexpr int DY4[]{1, 0, -1, 0}, DX4[]{0, -1, 0, 1};
constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1};
constexpr int DX8[]{0, -1, -1, -1, 0, 1, 1, 1};
template <typename T, typename U>
inline bool chmax(T& a, U b) { return a < b ? (a = b, true) : false; }
template <typename T, typename U>
inline bool chmin(T& a, U b) { return a > b ? (a = b, true) : false; }
struct IOSetup {
  IOSetup() {
    std::cin.tie(nullptr);
    std::ios_base::sync_with_stdio(false);
    std::cout << fixed << setprecision(20);
  }
} iosetup;

int main() {
  int n, a, b; cin >> n >> a >> b;
  vector<int> x(n), y(n), k(n); REP(i, n) cin >> x[i] >> y[i] >> k[i];
  const auto dist = [&](const int i, const int j) -> int {
    return abs(x[i] - x[j]) + abs(y[i] - y[j]);
  };
  vector dp(1 << n, vector(n, vector(n, 0)));
  REP(i, n) FOR(j, i + 1, n) {
    if (dist(i, j) >= a || abs(k[i] - k[j]) >= b) {
      dp[(1 << i) | (1 << j)][i][j] = dp[(1 << i) | (1 << j)][j][i] = true;
    }
  }
  FOR(bit, 3, 1 << n) REP(i, n) REP(j, n) {
    if (dp[bit][i][j]) {
      REP(ball, n) {
        if (bit >> ball & 1) continue;
        if (dist(j, ball) >= a || abs(k[ball] - k[j]) >= b || dist(i, ball) + dist(j, ball) >= a) {
          dp[bit | (1 << ball)][j][ball] = true;
        }
      }
    }
  }
  int ans = 1;
  FOR(bit, 3, 1 << n) REP(i, n) REP(j, n) {
    if (dp[bit][i][j]) chmax(ans, popcount(static_cast<unsigned>(bit)));
  }
  cout << ans << '\n';
  return 0;
}