#include <bits/stdc++.h>
using namespace std;
using ll=long long;
using pll=pair<ll,ll>;
using tll=tuple<ll,ll,ll>;
using ld=long double;
const ll INF=(1ll<<60);
#define rep(i,n) for (ll i=0;i<(ll)(n);i++)
#define all(v) v.begin(),v.end()
template<class T> void chmin(T &a,T b){
    if(a>b){
        a=b;
    }
}
template<class T> void chmax(T &a,T b){
    if(a<b){
        a=b;
    }
}
int main(){
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    ll n,a,b;
    cin >> n >> a >> b;
    vector<ll> x(n),y(n),k(n);
    rep(i,n) cin >> x[i] >> y[i] >> k[i];
    auto dist=[&](ll i,ll j){
        return abs(x[i]-x[j])+abs(y[i]+y[j]);
    };
    vector<vector<vector<ll>>> dp(1<<n,vector<vector<ll>>(n,vector<ll>(n,0)));
    rep(i,n){
        rep(j,n){
            if(i==j) continue;
            if(a<=dist(i,j)||b<=abs(k[i]-k[j])) dp[(1<<i)|(1<<j)][i][j]=1;
        }
    }
    rep(i,1<<n){
        rep(j,n){
            rep(l,n){
                rep(m,n){
                    if(i&(1<<m)) continue;
                    if(b<=abs(k[m]-k[j])||a<=dist(m,j)+dist(m,l)) dp[i|(1<<m)][l][j]|=dp[i][j][l];
                }
            }
        }
    }
    auto cnt=[&](ll x){
        ll ret=0;
        rep(i,n){
            if(x&(1<<i)) ret++;
        }
        return ret;
    };
    ll ans=1;
    rep(i,1<<n){
        rep(j,n){
            rep(k,n){
                if(dp[i][j][k]) chmax(ans,cnt(i));
            }
        }
    }
    cout << ans << '\n';
}