pub mod scanner {

    pub struct Scanner {
        buf: Vec<String>,
    }

    impl Scanner {
        pub fn new() -> Self {
            Self { buf: vec![] }
        }

        pub fn new_from(source: &str) -> Self {
            let source = String::from(source);
            let buf = Self::split(source);
            Self { buf }
        }

        pub fn next<T: std::str::FromStr>(&mut self) -> T {
            loop {
                if let Some(x) = self.buf.pop() {
                    return x.parse().ok().expect("");
                }
                let mut source = String::new();
                std::io::stdin().read_line(&mut source).expect("");
                self.buf = Self::split(source);
            }
        }

        fn split(source: String) -> Vec<String> {
            source
                .split_whitespace()
                .rev()
                .map(String::from)
                .collect::<Vec<_>>()
        }
    }
}

use crate::scanner::Scanner;
use std::io::Write;

macro_rules! mdvec {
    ($elem:expr; $n:expr) => (
        vec![$elem; $n]
    );
    ($elem:expr; $n:expr $(; $ns:expr)+) => (
        vec![mdvec![$elem $(; $ns)*]; $n]
    );
}

fn main() {
    let mut scanner = Scanner::new();
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    let t: usize = 1;
    for _ in 0..t {
        solve(&mut scanner, &mut out);
    }
}
fn solve(scanner: &mut Scanner, out: &mut std::io::BufWriter<std::io::StdoutLock>) {
    let n: usize = scanner.next();
    let a: isize = scanner.next();
    let b: isize = scanner.next();
    let xyk = (0..n)
        .map(|_| {
            (
                scanner.next::<isize>(),
                scanner.next::<isize>(),
                scanner.next::<isize>(),
            )
        })
        .collect::<Vec<_>>();
    let dist = |i: usize, j: usize| -> isize {
        let (xi, yi, _) = xyk[i];
        let (xj, yj, _) = xyk[j];
        (xi - xj).abs() + (yi - yj).abs()
    };
    let ok = |i1: usize, i2: usize, i3: usize| -> bool {
        let (_, _, k2) = xyk[i2];
        let (_, _, k3) = xyk[i3];
        let mut res = false;
        res |= b <= (k2 - k3).abs();
        res |= a <= dist(i3, i2) + dist(i3, i1);
        res
    };
    let mut dp = mdvec!(false; 1 << n; n; n);
    for i in 0..n {
        for j in 0..n {
            if i == j || dist(i, j) < a {
                continue;
            }
            dp[(1 << i) | (1 << j)][i][j] = a <= dist(i, j) || b <= (xyk[i].2 - xyk[j].2).abs();
        }
    }
    let mut ans = 1;
    for bits in 0..(1 << n) {
        for i in 0..n {
            if ((bits >> i) & 1) == 0 {
                continue;
            }
            for j in 0..n {
                if i == j || ((bits >> j) & 1) == 0 {
                    continue;
                }
                for k in 0..n {
                    if ((bits >> k) & 1) == 1 {
                        continue;
                    }
                    if ok(i, j, k) {
                        let next = bits | (1 << k);
                        dp[next][j][k] = true;
                        ans = ans.max(next.count_ones());
                    }
                }
            }
        }
    }
    writeln!(out, "{}", ans).unwrap();
}