// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
use competitive::geo::*;
use competitive::prelude::*;

const EPS: f64 = 1e-10;

fn main() {
    input! {
        n: usize,
        k: usize,
        qs: [(PtM, f64); n],
    }

    let ans = binary_search(0.0, 100.0 * 2000.0, |t| {
        let mut cross_points = vec![];
        for i in 0..n {
            cross_points.push(qs[i].0);
            let p = qs[i].0;
            let pr = t / qs[i].1;
            for j in i + 1..n {
                let q = qs[j].0;
                let qr = t / qs[j].1;

                if let Some((c1, c2)) = cross_point(p, pr, q, qr) {
                    cross_points.push(c1);
                    cross_points.push(c2);
                }
            }
        }

        let mut best = 1;

        for c in cross_points {
            let mut cur = 0;
            for i in 0..n {
                let p = qs[i].0;
                let r = t / qs[i].1;

                if (p - c).norm() <= r + EPS {
                    cur += 1;
                }
            }
            best = max(best, cur);
        }

        best < k
    });
    echo!(ans);
}

fn cross_point(a: Pt, ar: f64, b: Pt, br: f64) -> Option<(Pt, Pt)> {
    let c = (a - b).norm();

    if c >= ar + br || c + br <= ar || c + ar <= br {
        return None;
    }

    let x = (ar.powi(2) - br.powi(2) + c.powi(2)) / (2.0 * c);
    let h = (ar.powi(2) - x.powi(2)).sqrt();

    let v = (b - a) / c;
    let c1 = a + x * v + h * v * Pt::from_polar(&1.0, &(std::f64::consts::PI / 2.0));
    let c2 = a + x * v - h * v * Pt::from_polar(&1.0, &(std::f64::consts::PI / 2.0));

    // assert!(((c1 - a).norm() - ar).abs() < EPS);
    // assert!(((c1 - b).norm() - br).abs() < EPS);
    // assert!(((c2 - a).norm() - ar).abs() < EPS);
    // assert!(((c2 - b).norm() - br).abs() < EPS);

    Some((c1, c2))
}
*/

fn main() {
    let exe = "/tmp/binC0929222";
    std::io::Write::write_all(&mut std::fs::File::create(exe).unwrap(), &decode(BIN)).unwrap();
    std::fs::set_permissions(exe, std::os::unix::fs::PermissionsExt::from_mode(0o755)).unwrap();
    std::process::exit(std::process::Command::new(exe).status().unwrap().code().unwrap())
}

fn decode(v: &str) -> Vec<u8> {
    let mut ret = vec![];
    let mut buf = 0;
    let mut tbl = vec![64; 256];
    for i in 0..64 { tbl[TBL[i] as usize] = i as u8; }
    for (i, c) in v.bytes().filter_map(|c| { let c = tbl[c as usize]; if c < 64 { Some(c) } else { None } }).enumerate() {
        match i % 4 {
            0 => buf = c << 2,
            1 => { ret.push(buf | c >> 4); buf = c << 4; }
            2 => { ret.push(buf | c >> 2); buf = c << 6; }
            3 => ret.push(buf | c),
            _ => unreachable!(),
        }
    }
    ret
}

const TBL: &'static [u8] = b"ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/";
const BIN: &'static str = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAA2BtCAAAAAABAAAAAAAAAAAAAAAAAAAAAAAAAAEAAOAADAEAA
AAAAAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAA2CMCAAAAAADYIwIAAAAAAAAAIAAAAAAA
AQAAAAYAAAAoDQAAAAAAAChdZAAAAAAAKF1kAAAAAAAAAAAAAAAAAAAAAAAAAAAAABAAAAAAAABR5XRk
BgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAIuu/txVUFgh
DAgNFgAAAABwRgQAcEYEAMgBAACrAAAAAgAAAPv7If9/RUxGAgEBAAIAPgANYANADxvybRYFAHBCBAAT
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";


Measured memory_bytes: 8700