#include <bits/stdc++.h>

using i32 = std::int32_t;
using u32 = std::uint32_t;
using i64 = std::int64_t;
using u64 = std::uint64_t;
using isize = std::ptrdiff_t;
using usize = std::size_t;

class rep {
    struct Iter {
        usize itr;
        constexpr Iter(const usize pos) noexcept : itr(pos) {}
        constexpr void operator++() noexcept { ++itr; }
        constexpr bool operator!=(const Iter& other) const noexcept { return itr != other.itr; }
        constexpr usize operator*() const noexcept { return itr; }
    };
    const Iter first, last;

  public:
    explicit constexpr rep(const usize first, const usize last) noexcept : first(first), last(std::max(first, last)) {}
    constexpr Iter begin() const noexcept { return first; }
    constexpr Iter end() const noexcept { return last; }
};
#include <variant>

class subsets {
    struct Iter {
        u64 s, t;
        explicit constexpr Iter(const u64 s, const u64 t) noexcept : s(s), t(t) {}
        constexpr bool operator!=(std::monostate) const noexcept { return ~t != 0; }
        constexpr void operator++() noexcept { t -= 1; }
        constexpr u64 operator*() noexcept { return t &= s; }
    };
    u64 s;

  public:
    explicit constexpr subsets(u64 s) noexcept : s(s) {}
    constexpr Iter begin() const noexcept { return Iter(s, s); }
    constexpr std::monostate end() noexcept { return {}; }
};

template <class T> using Vec = std::vector<T>;

void main_() {
    usize N;
    u64 W;
    std::cin >> N >> W;
    Vec<u64> A(N);
    for (auto& x : A) {
        std::cin >> x;
    }
    usize ans = 0;
    for (const auto set : rep(1, 1 << N)) {
        bool ok = false;
        for (const auto sub : subsets(set)) {
            u64 sum = 0;
            for (const auto i : rep(0, N)) {
                if (sub >> i & 1) {
                    sum += A[i];
                } else if (set >> i & 1) {
                    sum += A[i] / 2;
                }
            }
            if (sum == W) {
                ok = true;
                break;
            }
        }
        if (ok) {
            ans += 1;
        }
    }
    std::cout << ans << '\n';
}

int main() {
    std::ios_base::sync_with_stdio(false);
    std::cin.tie(nullptr);
    main_();
    return 0;
}