#line 2 "library/template/template.hpp"
#include <bits/stdc++.h>
#line 3 "library/template/macro.hpp"

#define all(x) std::begin(x), std::end(x)
#define rall(x) std::rbegin(x), std::rend(x)
#define elif else if
#define updiv(N, X) (((N) + (X) - (1)) / (X))
#define sigma(a, b) ((a + b) * (b - a + 1) / 2)
#define INT(...)     \
    int __VA_ARGS__; \
    scan(__VA_ARGS__)
#define LL(...)     \
    ll __VA_ARGS__; \
    scan(__VA_ARGS__)
#define STR(...)        \
    string __VA_ARGS__; \
    scan(__VA_ARGS__)
#define CHR(...)      \
    char __VA_ARGS__; \
    scan(__VA_ARGS__)
#define DOU(...)        \
    double __VA_ARGS__; \
    scan(__VA_ARGS__)
#define LD(...)     \
    ld __VA_ARGS__; \
    scan(__VA_ARGS__)
#define pb push_back
#define eb emplace_back
#line 3 "library/template/alias.hpp"

using ll = long long;
using ld = long double;
using pii = std::pair<int, int>;
using pll = std::pair<ll, ll>;
constexpr int inf = 1 << 30;
constexpr ll INF = 1LL << 60;
constexpr int dx[8] = {1, 0, -1, 0, 1, -1, 1, -1};
constexpr int dy[8] = {0, 1, 0, -1, 1, 1, -1, -1};
constexpr int mod = 998244353;
constexpr int MOD = 1e9 + 7;
#line 3 "library/template/func.hpp"

template <typename T>
inline bool chmax(T& a, T b) { return ((a < b) ? (a = b, true) : (false)); }
template <typename T>
inline bool chmin(T& a, T b) { return ((a > b) ? (a = b, true) : (false)); }
template <typename T, typename U>
std::ostream &operator<<(std::ostream &os, const std::pair<T, U> &p) {
    os << p.first << " " << p.second;
    return os;
}
template <typename T, typename U>
std::istream &operator>>(std::istream &is, std::pair<T, U> &p) {
    is >> p.first >> p.second;
    return is;
}
template <typename T>
std::ostream &operator<<(std::ostream &os, const std::vector<T> &v) {
    for (auto it = std::begin(v); it != std::end(v);) {
        os << *it << ((++it) != std::end(v) ? " " : "");
    }
    return os;
}
template <typename T>
std::istream &operator>>(std::istream &is, std::vector<T> &v) {
    for (T &in : v) {
        is >> in;
    }
    return is;
}
inline void scan() {}
template <class Head, class... Tail>
inline void scan(Head &head, Tail &...tail) {
    std::cin >> head;
    scan(tail...);
}
template <class T>
inline void print(const T &t) { std::cout << t << '\n'; }
template <class Head, class... Tail>
inline void print(const Head &head, const Tail &...tail) {
    std::cout << head << ' ';
    print(tail...);
}
template <class... T>
inline void fin(const T &...a) {
    print(a...);
    exit(0);
}
#line 3 "library/template/util.hpp"

struct IOSetup {
    IOSetup() {
        std::cin.tie(nullptr);
        std::ios::sync_with_stdio(false);
        std::cout.tie(0);
        std::cout << std::fixed << std::setprecision(12);
        std::cerr << std::fixed << std::setprecision(12);
    }
} IOSetup;
#line 3 "library/template/debug.hpp"

#ifdef LOCAL
#include <debug_print.hpp>
#else
#define debug(...)
#endif
#line 8 "library/template/template.hpp"
using namespace std;
#line 2 "A.cpp"

vector<vector<int>> ball;
int N;
pii f(int x) {
    int base = N;
    int a = x / (base + 1);
    int b = x % (base + 1);
    return {a, b};
}
int rf(pii x) {
    int base = N;
    return x.first * (base + 1) + x.second;
}
int dis(int i, int j) {
    return abs(ball[i][0] - ball[j][0]) + abs(ball[i][1] - ball[j][1]);
}
int dis2(int i, int j) {
    return abs(ball[i][2] - ball[j][2]);
}
int main() {
    scan(N);
    INT(A, B);
    ball.assign(N, vector<int>(3));
    scan(ball);
    vector<vector<bool>> dp(1 << N, vector<bool>((N + 1) * (N + 1), false));
    int ans = 1;
    dp[0][rf({N, N})] = true;
    for (int i = 0; i < N; i++) {
        dp[1 << i][rf({N, i})] = true;
        for (int j = 0; j < N; j++) {
            if (i == j) continue;
            if (dis(i, j) >= A || dis2(i, j) >= B) {
                dp[(1 << i) | (1 << j)][rf({i, j})] = true;
                chmax(ans, 2);
            }
        }
    }
    for (int i = 0; i < (1 << N); i++) {
        for (int j = 0; j < (N + 1) * (N + 1); j++) {
            pii p = f(j);
            if (p.first == N || p.second == N) continue;
            if (!dp[i][j]) continue;
            chmax(ans, __builtin_popcount(i));
            for (int k = 0; k < N; k++) {
                if (i & (1 << k)) continue;
                if (dis(p.first, k) + dis(p.second, k) >= A || dis2(p.second, k) >= B) {
                    dp[i | (1 << k)][rf({p.second, k})] = true;
                }
            }
        }
    }
    print(ans);
}