mod util {
    pub trait Join {
        fn join(self, sep: &str) -> String;
    }

    impl<T, I> Join for I
    where
        I: Iterator<Item = T>,
        T: std::fmt::Display,
    {
        fn join(self, sep: &str) -> String {
            let mut s = String::new();
            use std::fmt::*;
            for (i, v) in self.enumerate() {
                if i > 0 {
                    write!(&mut s, "{}", sep).ok();
                }
                write!(&mut s, "{}", v).ok();
            }
            s
        }
    }
}

// ---------- begin scannner ----------
#[allow(dead_code)]
mod scanner {
    use std::str::FromStr;
    pub struct Scanner<'a> {
        it: std::str::SplitWhitespace<'a>,
    }
    impl<'a> Scanner<'a> {
        pub fn new(s: &'a String) -> Scanner<'a> {
            Scanner {
                it: s.split_whitespace(),
            }
        }
        pub fn next<T: FromStr>(&mut self) -> T {
            self.it.next().unwrap().parse::<T>().ok().unwrap()
        }
        pub fn next_bytes(&mut self) -> Vec<u8> {
            self.it.next().unwrap().bytes().collect()
        }
        pub fn next_chars(&mut self) -> Vec<char> {
            self.it.next().unwrap().chars().collect()
        }
        pub fn next_vec<T: FromStr>(&mut self, len: usize) -> Vec<T> {
            (0..len).map(|_| self.next()).collect()
        }
    }
}
// ---------- end scannner ----------

use std::io::Write;
use std::collections::*;

type Map<K, V> = BTreeMap<K, V>;
type Set<T> = BTreeSet<T>;
type Deque<T> = VecDeque<T>;

fn main() {
    use std::io::Read;
    let mut s = String::new();
    std::io::stdin().read_to_string(&mut s).unwrap();
    let mut sc = scanner::Scanner::new(&s);
    let out = std::io::stdout();
    let mut out = std::io::BufWriter::new(out.lock());
    run(&mut sc, &mut out);
}

fn run<W: Write>(sc: &mut scanner::Scanner, out: &mut std::io::BufWriter<W>) {
    let t: u32 = sc.next();
    for _ in 0..t {
        let n: usize = sc.next();
        let m: usize = sc.next();
        let mut p = vec![(N, N); m];
        for p in p.iter_mut() {
            p.0 = sc.next::<usize>() - 1;
        }
        for p in p.iter_mut() {
            p.1 = sc.next::<usize>() - 1;
        }
        let mut value = [-1i8; N];
        for i in 0..N {
            value[i] = (i + 1) as i8 * -1;
        }
        let mut used = vec![false; m];
        let mut ban = vec![false; n - 1];
        dfs(value, 0, &p, &mut used, &mut ban);
        use util::*;
        if ban.iter().any(|b| *b) {
            writeln!(out, "No").ok();
            let b = (1..n).filter(|x| ban[*x - 1]).collect::<Vec<_>>();
            writeln!(out, "{}", b.len()).ok();
            writeln!(out, "{}", b.iter().join(" ")).ok();
        } else {
            writeln!(out, "Yes").ok();
            let b = (0..m).filter(|x| !used[*x]).map(|x| x + 1).collect::<Vec<_>>();
            writeln!(out, "{}", b.len()).ok();
            writeln!(out, "{}", b.iter().join(" ")).ok();
        }
    }
}

const N: usize = 27;

fn dfs(value: [i8; N], po: usize, p: &[(usize, usize)], used: &mut [bool], ban: &mut [bool]) {
    if po == p.len() {
        for i in 0..ban.len() {
            let l = value[i];
            let r = value[i + 1];
            ban[i] |= l == 1 && r == 0;
            ban[i] |= l < 0 && r == 0;
            ban[i] |= l == 1 && r < 0;
            ban[i] |= l < 0 && r < 0 && l != r;
        }
        return;
    }
    let (x, y) = p[po];
    let l = value[x];
    let r = value[y];
    if l == r {
        dfs(value, po + 1, p, used, ban);
        return;
    }
    if l >= 0 && r >= 0 {
        let mut v = value;
        if l > r {
            v.swap(x, y);
            used[po] = true;
        }
        dfs(v, po + 1, p, used, ban);
        return;
    }
    if l < 0 && r < 0 {
        used[po] = true;
        let mut v = value;
        for v in v.iter_mut() {
            if *v == r {
                *v = l;
            }
        }
        dfs(v, po + 1, p, used, ban);
        let cl = value.iter().filter(|v| **v == l).count();
        let cr = value.iter().filter(|v| **v == r).count();
        if cl == 1 || cr == 1 {
            let mut v = value;
            v[x] = 0;
            v[y] = 1;
            dfs(v, po + 1, p, used, ban);
        } else {
            for &(a, b) in [(0, 1), (1, 0)].iter() {
                let mut v = value;
                for v in v.iter_mut() {
                    if *v == l {
                        *v = a;
                    } else if *v == r {
                        *v = b;
                    }
                }
                v[x] = 0;
                v[y] = 1;
                dfs(v, po + 1, p, used, ban);
            }
        }
        return;
    }
    if value[x] < 0 {
        let mut v = value;
        if v[y] == 0 {
            used[po] = true;
            v.swap(x, y);
        }
        dfs(v, po + 1, p, used, ban);
    } else if value[y] < 0 {
        let mut v = value;
        if v[x] == 1 {
            used[po] = true;
            v.swap(x, y);
        }
        dfs(v, po + 1, p, used, ban);
    } else {
        unreachable!()
    }
}