#include <bits/extc++.h>

int main() {
    using namespace std;
    unsigned N, A, B;
    cin >> N >> A >> B;
    vector<unsigned> X(N + 1), Y(N + 1), K(N + 1);
    for (unsigned i{1}; i <= N; ++i) {
        int x, y;
        cin >> x >> y >> K[i];
        X[i] = x + 1000;
        Y[i] = y + 1000;
    }

    vector<vector<unsigned>> edges(256);

    for (unsigned i{1}; i <= N; ++i)
        edges[0].emplace_back(i); // (-, -) -> (i, -)

    for (unsigned i{1}; i <= N; ++i)
        for (unsigned j{1}; j <= N; ++j)
            if (i != j)
                if (B + min(K[i], K[j]) <= max(K[i], K[j]) || A + min(X[i], X[j]) + min(Y[i], Y[j]) <= max(X[i], X[j]) + max(Y[i], Y[j]))
                    edges[i * 16].emplace_back(j); // (i, -) -> (j, i)

    for (unsigned i{1}; i <= N; ++i)
        for (unsigned j{1}; j <= N; ++j)
            if (i != j)
                for (unsigned k{1}; k <= N; ++k)
                    if (i != k && j != k)
                        if (B + min(K[j], K[k]) <= max(K[j], K[k]) || A + min(X[i], X[k]) + min(Y[i], Y[k]) + min(X[j], X[k]) + min(Y[j], Y[k]) <= max(X[i], X[k]) + max(Y[i], Y[k]) + max(X[j], X[k]) + max(Y[j], Y[k]))
                            edges[j * 16 + i].emplace_back(k); // (j, i) -> (k, j)

    vector<unsigned> dp(256U << N);

    const auto access{[&dp](unsigned visited, unsigned p_1, unsigned p_2) -> unsigned & {
        return dp[visited * 256 + p_1 * 16 + p_2];
    }};

    access(0, 0, 0) = 1;

    unsigned ans{};
    for (unsigned i{}; i < 1U << N; ++i)
        for (unsigned j{}; j <= N; ++j)
            for (unsigned k{}; k <= N; ++k)
                if (access(i, j, k)) {
                    for (const auto nexts : edges[j * 16 + k])
                        access(i | ((1 << nexts) / 2), nexts, j) = 1;
                    ans = max<unsigned>(ans, popcount(i));
                }

    cout << ans << endl;

    return 0;
}