use std::collections::HashSet;

fn main() {
    let (n, w) : (usize,usize) = input_t();
    let a : Vec<usize> = input_vec();

    let mut ans = 0;
    for i in 1..1<<n {
        let v = (0..n).filter(|&j| i>>j&1 == 1).map(|i| a[i]).collect::<Vec<_>>();
        let mut s = HashSet::new(); s.insert(0);
        for v in v.into_iter() {
            let mut ss = HashSet::new();
            for si in s.into_iter() { ss.insert(si + v); ss.insert(si + v/2); }
            s = ss;
        }
        if s.contains(&w) { ans += 1; }
    }
    println!("{}", ans);
}

#[allow(dead_code)]
fn input<T: std::str::FromStr>() -> T {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    s.trim().parse().ok().unwrap()
}

#[allow(dead_code)]
fn input_t<T: std::str::FromStr, U: std::str::FromStr>() -> (T, U) {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    let s = s.trim().split_whitespace().collect::<Vec<&str>>();
    (s[0].parse().ok().unwrap(), s[1].parse().ok().unwrap())
}

#[allow(dead_code)]
fn input_t3<T1: std::str::FromStr, T2: std::str::FromStr, T3: std::str::FromStr>() -> (T1, T2, T3) {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    let s = s.trim().split_whitespace().collect::<Vec<&str>>();
    (s[0].parse().ok().unwrap(), s[1].parse().ok().unwrap(), s[2].parse().ok().unwrap())
}

#[allow(dead_code)]
fn input_t4<T1: std::str::FromStr, T2: std::str::FromStr, T3: std::str::FromStr, T4: std::str::FromStr>() -> (T1, T2, T3, T4) {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    let s = s.trim().split_whitespace().collect::<Vec<&str>>();
    (s[0].parse().ok().unwrap(), s[1].parse().ok().unwrap(), s[2].parse().ok().unwrap(), s[3].parse().ok().unwrap())
}

#[allow(dead_code)]
fn input_t5<T1: std::str::FromStr, T2: std::str::FromStr, T3: std::str::FromStr, T4: std::str::FromStr, T5: std::str::FromStr>() -> (T1, T2, T3, T4, T5) {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    let s = s.trim().split_whitespace().collect::<Vec<&str>>();
    (s[0].parse().ok().unwrap(), s[1].parse().ok().unwrap(), s[2].parse().ok().unwrap(), s[3].parse().ok().unwrap(), s[4].parse().ok().unwrap())
}

#[allow(dead_code)]
fn input_vec<T: std::str::FromStr>() -> Vec<T> {
    let mut s = String::new();
    std::io::stdin().read_line(&mut s).ok();
    s.trim().split_whitespace().map(|s| s.parse().ok().unwrap()).collect()
}