#include "bits/stdc++.h"
#pragma GCC optimize("Ofast")

// Begin Header {{{
using namespace std;

#ifndef DEBUG
#define dump(...)
#endif

#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define rep(i, n) for (intmax_t i = 0, i##_limit = (n); i < i##_limit; ++i)
#define reps(i, b, e) for (intmax_t i = (b), i##_limit = (e); i <= i##_limit; ++i)
#define repr(i, b, e) for (intmax_t i = (b), i##_limit = (e); i >= i##_limit; --i)
#define var(Type, ...) Type __VA_ARGS__; input(__VA_ARGS__)

constexpr size_t    operator""_zu(unsigned long long value) { return value; };
constexpr intmax_t  operator""_jd(unsigned long long value) { return value; };
constexpr uintmax_t operator""_ju(unsigned long long value) { return value; };

constexpr int INF = 0x3f3f3f3f;
constexpr intmax_t LINF = 0x3f3f3f3f3f3f3f3f_jd;

namespace moke {

template <class T> using MaxHeap = priority_queue<T, vector<T>, less<T>>;
template <class T> using MinHeap = priority_queue<T, vector<T>, greater<T>>;

inline void input() {}
template <class Head, class... Tail> inline void input(Head&& head, Tail&&... tail) {
    cin >> head;
    input(forward<Tail>(tail)...);
}

inline void outs() { cout << "\n"; }
template <class Head, class... Tail> inline void outs(Head&& head, Tail&&... tail) {
    cout << head << (sizeof...(tail) ? " " : "");
    outs(forward<Tail>(tail)...);
}

template <class T> inline void outs(vector<T> &vec) {
    for (auto &e : vec) cout << e << " \n"[&e == &vec.back()];
}

template <class T> inline void outs(vector<vector<T>> &df) {
    for (auto &vec : df) outs(vec);
}

inline void outl() { cout << "\n"; }
template <class Head, class... Tail> inline void outl(Head&& head, Tail&&... tail) {
    cout << head << (sizeof...(tail) ? "\n" : "");
    outl(forward<Tail>(tail)...);
}

template <class T> inline void outl(vector<T> &vec) {
    for (auto &e : vec) cout << e << "\n";
}

inline void outn() {}
template <class Head, class... Tail> inline void outn(Head&& head, Tail&&... tail) {
    cout << head;
    outn(forward<Tail>(tail)...);
}

template <class T> inline void outn(vector<T> &vec) {
    for (auto &e : vec) cout << e;
}

template <class T> inline vector<T> make_v(const T &initValue, size_t sz) {
    return vector<T>(sz, initValue);
}

template <class T, class... Args> inline auto make_v(const T &initValue, size_t sz, Args... args) {
    return vector<decltype(make_v<T>(initValue, args...))>(sz, make_v<T>(initValue, args...));
}

template <class A, class B> inline bool chmax(A &a, const B &b) noexcept {
    return b > a && (a = b, true);
}

template <class A, class B> inline bool chmin(A &a, const B &b) noexcept {
    return b < a && (a = b, true);
}

template <class A, class B> inline common_type_t<A, B> min(const A &a, const B &b) noexcept {
    return a < b ? a : b;
}

template <class A, class B, class... Args>
inline common_type_t<A, B, Args...> min(const A &a, const B &b, const Args&... args) noexcept {
    return moke::min(a < b ? a : b, args...);
}

template <class A, class B> inline common_type_t<A, B> max(const A &a, const B &b) noexcept {
    return a > b ? a : b;
}

template <class A, class B, class... Args>
inline common_type_t<A, B, Args...> max(const A &a, const B &b, const Args&... args) noexcept {
    return moke::max(a > b ? a : b, args...);
}

template <class A, class B> inline common_type_t<A, B> diff(const A &a, const B &b) noexcept {
    return a < b ? b - a : a - b;
}

} // namespace moke

// }}} End Header

namespace moke {

int main_() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    var(int, N, A);

    vector<int> x(N + 1);
    reps(i, 1, N) input(x[i]);

    const int MAX = 2500;
    auto dp = make_v<intmax_t>(0, N + 1, N + 1, MAX + 1);
    dp[0][0][0] = 1;
    reps(i, 1, N) reps(j, 0, N) reps(s, 0, MAX) {
        dp[i][j][s] += dp[i - 1][j][s];
        if (j >= 1 && s - x[i] >= 0) {
            dp[i][j][s] += dp[i - 1][j - 1][s - x[i]];
        }
    }

    intmax_t res = 0;
    reps(i, 1, N) {
        res += dp[N][i][i * A];
    }

    outl(res);

    return 0;
}

} // namespace moke

signed main() { // {{{

    moke::main_();

    return 0;
} // }}}


Measured memory_bytes: 52224