fn main() {
    let mut nw = String::new();
    std::io::stdin().read_line(&mut nw).ok();
    let nw: Vec<usize> = nw.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
    let n = nw[0];
    let w = nw[1];
    let mut a = String::new();
    std::io::stdin().read_line(&mut a).ok();
    let a: Vec<usize> = a.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();

    let mut result = 0usize;
    for i in 0..1usize<<n {
        let targets = (0..n).filter(|&j| ((i >> j) & 1) == 1).collect::<Vec<usize>>();
        for halfs in 0..1usize<<targets.len() {
            let summary = (0..targets.len()).map(|j| if ((halfs >> j) & 1) == 1 { a[targets[j]] / 2 } else { a[targets[j]] }).sum::<usize>();
            if summary == w {
                result += 1;
                break;
            }
        }
    }
    println!("{}", result);
}