#[allow(unused_imports)]
use std::io::{stdout, BufWriter, Write};

use std::collections::HashSet;

fn main() {
    let out = stdout();
    let mut out = BufWriter::new(out.lock());

    inputv! {
        n:usize,w:i64
    }
    let a = input_vector::<i64>();
    let mut set = HashSet::new();
    let mut ans = 0;
    for mut i in 0..3_usize.pow(a.len() as u32) {
        let mut buf = 0;
        let mut k = 0;
        for j in 0..a.len() {
            if i % 3 == 1 {
                buf += a[j];
                k = (k << 1) + 1;
            } else if i % 3 == 2 {
                buf += a[j] / 2;
                k = (k << 1) + 1;
            } else {
                k <<= 1;
            }
            i /= 3;
        }

        if buf == w && !set.contains(&k) && k != 0 {
            ans += 1;
            set.insert(k);
        }
    }
    writeln!(out, "{}", ans).unwrap();
}

//https://github.com/manta1130/competitive-template-rs

use input::*;

pub mod input {
    use std::cell::RefCell;
    use std::io;
    pub const SPLIT_DELIMITER: char = ' ';
    pub use std::io::prelude::*;

    thread_local! {
        pub static INPUT_BUFFER:RefCell<std::collections::VecDeque<String>>=RefCell::new(std::collections::VecDeque::new());
    }

    #[macro_export]
    macro_rules! input_internal {
        ($x:ident : $t:ty) => {
            INPUT_BUFFER.with(|p| {
                if p.borrow().len() == 0 {
                    let temp_str = input_line_str();
                    let mut split_result_iter = temp_str
                        .split(SPLIT_DELIMITER)
                        .map(|q| q.to_string())
                        .collect::<std::collections::VecDeque<_>>();
                    p.borrow_mut().append(&mut split_result_iter)
                }
            });
            let mut buf_split_result = String::new();
            INPUT_BUFFER.with(|p| buf_split_result = p.borrow_mut().pop_front().unwrap());
            let $x: $t = buf_split_result.parse().unwrap();
        };
        (mut $x:ident : $t:ty) => {
            INPUT_BUFFER.with(|p| {
                if p.borrow().len() == 0 {
                    let temp_str = input_line_str();
                    let mut split_result_iter = temp_str
                        .split(SPLIT_DELIMITER)
                        .map(|q| q.to_string())
                        .collect::<std::collections::VecDeque<_>>();
                    p.borrow_mut().append(&mut split_result_iter)
                }
            });
            let mut buf_split_result = String::new();
            INPUT_BUFFER.with(|p| buf_split_result = p.borrow_mut().pop_front().unwrap());
            let mut $x: $t = buf_split_result.parse().unwrap();
        };
    }

    pub fn input_buffer_is_empty() -> bool {
        let mut empty = false;
        INPUT_BUFFER.with(|p| {
            if p.borrow().len() == 0 {
                empty = true;
            }
        });
        empty
    }

    #[macro_export]
    macro_rules! inputv {
    ($i:ident : $t:ty) => {
        input_internal!{$i : $t}
    };
    (mut $i:ident : $t:ty) => {
        input_internal!{mut $i : $t}
    };
    ($i:ident : $t:ty $(,)*) => {
            input_internal!{$i : $t}
    };
    (mut $i:ident : $t:ty $(,)*) => {
            input_internal!{mut $i : $t}
    };
    (mut $i:ident : $t:ty,$($q:tt)*) => {
            input_internal!{mut $i : $t}
            inputv!{$($q)*}
    };
    ($i:ident : $t:ty,$($q:tt)*) => {
            input_internal!{$i : $t}
            inputv!{$($q)*}
    };
}

    pub fn input_all() {
        INPUT_BUFFER.with(|p| {
            if p.borrow().len() == 0 {
                let mut temp_str = String::new();
                std::io::stdin().read_to_string(&mut temp_str).unwrap();
                let mut split_result_iter = temp_str
                    .split_whitespace()
                    .map(|q| q.to_string())
                    .collect::<std::collections::VecDeque<_>>();
                p.borrow_mut().append(&mut split_result_iter)
            }
        });
    }

    pub fn input_line_str() -> String {
        let mut s = String::new();
        io::stdin().read_line(&mut s).unwrap();
        s.trim().to_string()
    }

    #[allow(clippy::match_wild_err_arm)]
    pub fn input_vector<T>() -> Vec<T>
    where
        T: std::str::FromStr,
    {
        let mut v: Vec<T> = Vec::new();

        let s = input_line_str();
        let split_result = s.split(SPLIT_DELIMITER);
        for z in split_result {
            let buf = match z.parse() {
                Ok(r) => r,
                Err(_) => panic!("Parse Error",),
            };
            v.push(buf);
        }
        v
    }

    #[allow(clippy::match_wild_err_arm)]
    pub fn input_vector_row<T>(n: usize) -> Vec<T>
    where
        T: std::str::FromStr,
    {
        let mut v = Vec::with_capacity(n);
        for _ in 0..n {
            let buf = match input_line_str().parse() {
                Ok(r) => r,
                Err(_) => panic!("Parse Error",),
            };
            v.push(buf);
        }
        v
    }

    pub trait ToCharVec {
        fn to_charvec(&self) -> Vec<char>;
    }

    impl ToCharVec for String {
        fn to_charvec(&self) -> Vec<char> {
            self.to_string().chars().collect::<Vec<_>>()
        }
    }
}