#include <bits/stdc++.h>
using namespace std;
#define fast_io ios::sync_with_stdio(false); cin.tie(nullptr);
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
typedef long long ll;
typedef long double ld;
#define chmin(a,b) a = min(a,b);
#define chmax(a,b) a = max(a,b);
#define bit_count(x) __builtin_popcountll(x)
#define leading_zero_count(x) __builtin_clz(x)
#define trailing_zero_count(x) __builtin_ctz(x)
#define gcd(a,b) __gcd(a,b)
#define lcm(a,b) a / gcd(a,b) * b
#define rep(i,n) for(int i = 0 ; i < n ; i++)
#define rrep(i,a,b) for(int i = a ; i < b ; i++)
#define repi(it,S) for(auto it = S.begin() ; it != S.end() ; it++)
#define pt(a) cout << a << endl;
#define debug(a) cout << #a << " " << a << endl;
#define all(a) a.begin(), a.end()
#define endl "\n";
#define v1(n,a) vector<bool>(n,a)
#define v2(n,m,a) vector<vector<bool>>(n,v1(m,a))
#define v3(n,m,k,a) vector<vector<vector<bool>>>(n,v2(m,k,a))
#define v4(n,m,k,l,a) vector<vector<vector<vector<bool>>>>(n,v3(m,k,l,a))
template<typename T,typename U>istream &operator>>(istream&is,pair<T,U>&p){is>>p.first>>p.second;return is;}
template<typename T,typename U>ostream &operator<<(ostream&os,const pair<T,U>&p){os<<p.first<<" "<<p.second;return os;}
template<typename T>istream &operator>>(istream&is,vector<T>&v){for(T &in:v){is>>in;}return is;}
template<typename T>ostream &operator<<(ostream&os,const vector<T>&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;}
template<typename T>istream &operator>>(istream&is,vector<vector<T>>&v){for(T &in:v){is>>in;}return is;}
template<typename T>ostream &operator<<(ostream&os,const vector<vector<T>>&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?"\n":"");}return os;}
template<typename T>ostream &operator<<(ostream&os,const set<T>&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;}
template<typename T>ostream &operator<<(ostream&os,const multiset<T>&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;}
#define dist(a,b,c,d) abs(a-c) + abs(b-d)

void solve(){
    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];
    auto dp = v3(1<<n,n,n,false);
    rep(i,n){
        rep(j,n){
            if(i == j) continue;
            if(abs(K[i] - K[j]) >= b) dp[(1 << i) | (1 << j)][i][j] = true;
            int x = X[i], y = Y[i];
            int nx = X[j], ny = Y[j];
            if(dist(x,y,nx,ny) >= a) dp[(1 << i) | (1 << j)][i][j] = true;
        }
    }
    rep(S,1<<n){
        if(bit_count(S) < 2) continue;
        rep(i,n) {
            if(!(S >> i & 1)) continue;
            rep(j,n){
                if(!(S >> j & 1)) continue;
                if(!dp[S][i][j]) continue;
                rep(x,n){
                    if(S >> x & 1) continue;
                    if(abs(K[x] - K[i]) >= b) dp[S | 1 << x][x][i] = true;
                    int ppx = X[j], ppy = Y[j];
                    int px = X[i], py = Y[i];
                    int nx = X[x], ny = Y[x];
                    if(dist(px,py,nx,ny) >= a) dp[S | 1 << x][x][i] = true;
                    if(dist(px,py,nx,ny) + dist(ppx,ppy,nx,ny) >= a) dp[S | 1 << x][x][i] = true;
                }
            }
        }
    }
    int res = 1;
    rep(S,1<<n) rep(i,n) rep(j,n) {
        if(dp[S][i][j]) chmax(res,bit_count(S));
    }
    pt(res)
}

int main(){
    fast_io
    int t = 1;
    // cin >> t;
    rep(i,t) solve();
}