// This code is generated by [cargo-atcoder](https://github.com/tanakh/cargo-atcoder)
// Original source code:
/*
#[allow(unused_imports)]
use itertools::Itertools;
use proconio::input;
#[allow(unused_imports)]
use proconio::marker::*;

fn main() {
    input! {
        n: usize,
        a: usize, b: usize,
        v: [i64; n],
    }

    // dp[i][j] [0,i) kara j ko erabu max
    let mut dp = vec![vec![(-1,0i64); n + 1]; n + 1];
    dp[0][0] = (0,1);
    for i in 0..n {
        for j in 0..=i {
            if dp[i+1][j].0 < dp[i][j].0 {
                dp[i+1][j] = dp[i][j];
            } else if dp[i+1][j].0 == dp[i][j].0 {
                dp[i+1][j].1 += dp[i][j].1;
            }

            if dp[i+1][j+1].0 < dp[i][j].0 + v[i] {
                dp[i+1][j+1] = dp[i][j];
                dp[i+1][j+1].0 += v[i];
            } else if dp[i+1][j+1].0 == dp[i][j].0 {
                dp[i+1][j+1].1 += dp[i][j].1;
            }
        }
    }
    use num::rational::Ratio;
    let mut res = Ratio::new(0, 1);
    let mut c = 0;
    for i in a..=b {
        let x = Ratio::new(dp[n][i].0, i as i64); 
        if res < x {
            res = x;
            c = dp[n][i].1;
        } else if res == x {
            c += dp[n][i].1;
        }
    }
    println!("{}", *res.numer() as f64 / *res.denom() as f64);
    println!("{}", c);
}
*/

fn main() {
    let exe = "/tmp/bin0A3DF6B2";
    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 = "
f0VMRgIBAQAAAAAAAAAAAAIAPgABAAAAYANAAAAAAABAAAAAAAAAAHDiAwAAAAAAAAAAAEAAOAAHAEAA
EAAPAAEAAAAFAAAAAAAAAAAAAAAAAEAAAAAAAAAAQAAAAAAAEMIDAAAAAAAQwgMAAAAAAAAAIAAAAAAA
AQAAAAYAAABgxwMAAAAAAGDHYwAAAAAAYMdjAAAAAAB4GgAAAAAAAMg1AAAAAAAAAAAgAAAAAAAEAAAA
BAAAAMgBAAAAAAAAyAFAAAAAAADIAUAAAAAAACQAAAAAAAAAJAAAAAAAAAAEAAAAAAAAAAcAAAAEAAAA
YMcDAAAAAABgx2MAAAAAAGDHYwAAAAAAMAAAAAAAAADIAAAAAAAAACAAAAAAAAAAUOV0ZAQAAACseQMA
AAAAAKx5QwAAAAAArHlDAAAAAAA8CgAAAAAAADwKAAAAAAAABAAAAAAAAABR5XRkBgAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQAAAAAAAAAFLldGQEAAAAYMcDAAAAAABgx2MA
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