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

int time_st;

long double Limit=3.8;
int N,A,B,X[15],Y[15],K[15],ans=1,start,second;
short ok[15][15][15];
void dfs(int v,int p,int vis){
    ans=max(ans,__builtin_popcount(vis));
    if((long double)(start*(N-1)+second)*Limit<(long double)(clock()-time_st)/CLOCKS_PER_SEC)return;
    //cout<<(long double)(clock()-time_st)/CLOCKS_PER_SEC<<endl;
    for(int nxt=0;nxt<N;nxt++){
        if(vis&(1<<nxt))continue;
        if(!ok[p][v][nxt])continue;
        dfs(nxt,v,vis|(1<<nxt));
    }
    return;
}
int main(void){
    time_st=clock();
    cout<<fixed<<setprecision(10);
    scanf("%d%d%d",&N,&A,&B);
    Limit/=N*(N-1);
    for(int i=0;i<N;i++)scanf("%d%d%d",&X[i],&Y[i],&K[i]);
    for(int i=0;i<N;i++){
        for(int j=0;j<N;j++){
            if(i==j)continue;
            for(int k=0;k<N;k++){
                if(i==k or j==k)continue;
                ok[i][j][k]=0;
                if(abs(X[i]-X[k])+abs(X[j]-X[k])+abs(Y[i]-Y[k])+abs(Y[j]-Y[k])>=A or abs(K[j]-K[k])>=B)ok[i][j][k]=1;
            }
        }
    }
    for(int i=0;i<N;i++){
        start=i;
        for(int j=0;j<N;j++){
            if(i==j)continue;
            second=j;
            if(abs(X[start]-X[second])+abs(Y[start]-Y[second])<A and abs(K[start]-K[second])<B)continue;
            dfs(second,start,(1<<start)|(1<<second));
        }
    }
    printf("%d\n",ans);
    //cout<<Limit<<endl;
}