use std::io::Read;

fn get_word() -> String {
    let stdin = std::io::stdin();
    let mut stdin=stdin.lock();
    let mut u8b: [u8; 1] = [0];
    loop {
        let mut buf: Vec<u8> = Vec::with_capacity(16);
        loop {
            let res = stdin.read(&mut u8b);
            if res.unwrap_or(0) == 0 || u8b[0] <= b' ' {
                break;
            } else {
                buf.push(u8b[0]);
            }
        }
        if buf.len() >= 1 {
            let ret = String::from_utf8(buf).unwrap();
            return ret;
        }
    }
}

#[allow(dead_code)]
fn get<T: std::str::FromStr>() -> T { get_word().parse().ok().unwrap() }

fn main() {
    let n: usize = get();
    let m: usize = get();
    let nn = n as i64;
    let nn2 = nn / 2;
    if m < n - 1 || m as i64 > nn2 * (nn - nn2) {
        println!("NO");
        return;
    }
    let mut x = 1;
    while x < nn / 2 && x * (nn - x) < m as i64 {
        x += 1;
    }
    println!("YES");
    for i in 0..n {
        print!("{}{}", i + 1, if i + 1 == n { "\n" } else { " " });
    }
    let x = x as usize;
    for i in 0..m {
        println!("{} {}", i / (n - x) + 1, x + 1 + i % (n - x));
    }
}