#include <stdio.h>
#include <atcoder/all>
#include <bits/stdc++.h>
using namespace std;
using namespace atcoder;
using mint = modint998244353;
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define Inf32 1000000001
#define Inf64 4000000000000000001


int main(){
	
	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];
	}
	
	vector dp(1<<N,vector(N,vector<bool>(N,false)));
	rep(i,N){
		dp[1<<i][i][i] = true;
	}
	rep(i,1<<N){
		rep(j,N){
			rep(k,N){
				if(dp[i][j][k]==false)continue;
				rep(l,N){
					if((i>>l)&1)continue;
					bool f = false;
					if(abs(K[k]-K[l])>=B)f = true;
					if(abs(x[k]-x[l]) + abs(y[k]-y[l]) + abs(x[j]-x[k]) + abs(y[j]-y[k]) >= A)f = true;
					if(f)dp[i|(1<<l)][k][l] = true;
				}
			}
		}
	}
	int ans = 1;
	rep(i,1<<N){
		rep(j,N){
			rep(k,N){
				if(dp[i][j][k])ans = max(ans,__builtin_popcount(i));
			}
		}
	}
	cout<<ans<<endl;
	
	return 0;
}