#include <bits/stdc++.h>
using namespace std;
using ll = long long;

int main() {
    int n, a, b; cin >> n >> a >> b;
    vector<int> x(n), y(n), s(n);
    for(int i = 0; i < n; i++) cin >> x[i] >> y[i] >> s[i];
    vector dp(vector(1<<n, vector(n+1, vector<int>(n+1))));
    dp[0][n][n] = 1;
    int ans = 0;
    for(int st = 0; st < (1<<n); st++) {
        for(int i = 0; i <= n; i++) for(int j = 0; j <= n; j++) {
            if(!dp[st][i][j]) continue;
            for(int k = 0; k < n; k++) {
                if(st >> k & 1) continue;
                bool strike = false;
                if(j == n) strike |= true;
                else if(i == n) {
                    strike |= a <= abs(x[k]-x[j]) + abs(y[k]-y[j]);
                } else {
                    strike |= a <= abs(x[k]-x[j]) + abs(y[k]-y[j]) + abs(x[k]-x[i]) + abs(y[k]-y[i]);
                }
                if(j < n) strike |= b < abs(s[k]-s[j]);
                if(strike) {
                    dp[st|(1<<k)][j][k] = 1;
                    ans = max(ans, __builtin_popcount(st|(1<<k)));
                }
            }
        }
    }
    cout << ans << endl;
}