#line 1 "main.cpp"
#include <bits/stdc++.h>
#line 2 "/home/ubuntu/Library/utils/macros.hpp"
#define REP(i, n) for (int i = 0; (i) < (int)(n); ++ (i))
#define REP3(i, m, n) for (int i = (m); (i) < (int)(n); ++ (i))
#define REP_R(i, n) for (int i = (int)(n) - 1; (i) >= 0; -- (i))
#define REP3R(i, m, n) for (int i = (int)(n) - 1; (i) >= (int)(m); -- (i))
#define ALL(x) std::begin(x), std::end(x)
#line 2 "/home/ubuntu/Library/modulus/mint.hpp"
#include <algorithm>
#include <cassert>
#include <iostream>
#line 2 "/home/ubuntu/Library/modulus/modpow.hpp"
#include <cassert>

inline constexpr int32_t modpow(uint_fast64_t x, uint64_t k, int32_t MOD) {
    assert (0 <= x and x < MOD);
    uint_fast64_t y = 1;
    for (; k; k >>= 1) {
        if (k & 1) (y *= x) %= MOD;
        (x *= x) %= MOD;
    }
    assert (0 <= y and y < MOD);
    return y;
}
#line 2 "/home/ubuntu/Library/modulus/modinv.hpp"
#include <algorithm>
#include <cassert>

inline int32_t modinv_nocheck(int32_t value, int32_t MOD) {
    assert (0 <= value and value < MOD);
    if (value == 0) return -1;
    int64_t a = value, b = MOD;
    int64_t x = 0, y = 1;
    for (int64_t u = 1, v = 0; a; ) {
        int64_t q = b / a;
        x -= q * u; std::swap(x, u);
        y -= q * v; std::swap(y, v);
        b -= q * a; std::swap(b, a);
    }
    if (not (value * x + MOD * y == b and b == 1)) return -1;
    if (x < 0) x += MOD;
    assert (0 <= x and x < MOD);
    return x;
}

inline int32_t modinv(int32_t x, int32_t MOD) {
    int32_t y = modinv_nocheck(x, MOD);
    assert (y != -1);
    return y;
}
#line 7 "/home/ubuntu/Library/modulus/mint.hpp"


template <int32_t MOD>
struct mint {
    int32_t value;
    mint() : value() {}
    mint(int64_t value_) : value(value_ < 0 ? value_ % MOD + MOD : value_ >= MOD ? value_ % MOD : value_) {}
    mint(int32_t value_, std::nullptr_t) : value(value_) {}
    explicit operator bool() const { return value; }
    inline constexpr mint<MOD> operator + (mint<MOD> other) const { return mint<MOD>(*this) += other; }
    inline constexpr mint<MOD> operator - (mint<MOD> other) const { return mint<MOD>(*this) -= other; }
    inline constexpr mint<MOD> operator * (mint<MOD> other) const { return mint<MOD>(*this) *= other; }
    inline constexpr mint<MOD> & operator += (mint<MOD> other) { this->value += other.value; if (this->value >= MOD) this->value -= MOD; return *this; }
    inline constexpr mint<MOD> & operator -= (mint<MOD> other) { this->value -= other.value; if (this->value <    0) this->value += MOD; return *this; }
    inline constexpr mint<MOD> & operator *= (mint<MOD> other) { this->value = (uint_fast64_t)this->value * other.value % MOD; return *this; }
    inline constexpr mint<MOD> operator - () const { return mint<MOD>(this->value ? MOD - this->value : 0, nullptr); }
    inline constexpr mint<MOD> pow(uint64_t k) const { return mint<MOD>(modpow(value, k, MOD), nullptr); }
    inline mint<MOD> inv() const { return mint<MOD>(modinv(value, MOD), nullptr); }
    inline constexpr mint<MOD> operator /  (mint<MOD> other) const { return *this *  other.inv(); }
    inline constexpr mint<MOD> operator /= (mint<MOD> other)       { return *this *= other.inv(); }
    inline constexpr bool operator == (mint<MOD> other) const { return value == other.value; }
    inline constexpr bool operator != (mint<MOD> other) const { return value != other.value; }
};
template <int32_t MOD> mint<MOD> operator * (int64_t value, mint<MOD> n) { return mint<MOD>(value) * n; }
template <int32_t MOD> std::istream & operator >> (std::istream & in, mint<MOD> & n) { int64_t value; in >> value; n = value; return in; }
template <int32_t MOD> std::ostream & operator << (std::ostream & out, mint<MOD> n) { return out << n.value; }
#line 2 "/home/ubuntu/Library/modulus/choose.hpp"
#include <cassert>
#line 2 "/home/ubuntu/Library/modulus/factorial.hpp"
#include <vector>
#line 4 "/home/ubuntu/Library/modulus/factorial.hpp"

template <int32_t MOD>
mint<MOD> fact(int n) {
    static std::vector<mint<MOD> > memo(1, 1);
    while (n >= memo.size()) {
        memo.push_back(memo.back() * mint<MOD>(memo.size()));
    }
    return memo[n];
}
template <int32_t MOD>
mint<MOD> inv_fact(int n) {
    static std::vector<mint<MOD> > memo;
    if (memo.size() <= n) {
        int l = memo.size();
        int r = n * 1.3 + 100;
        memo.resize(r);
        memo[r - 1] = fact<MOD>(r - 1).inv();
        for (int i = r - 2; i >= l; -- i) {
            memo[i] = memo[i + 1] * (i + 1);
        }
    }
    return memo[n];
}
#line 5 "/home/ubuntu/Library/modulus/choose.hpp"

/**
 * @note O(n log n) at first time, otherwise O(1)
 */
template <int32_t MOD>
mint<MOD> choose(int n, int r) {
    assert (0 <= r and r <= n);
    return fact<MOD>(n) * inv_fact<MOD>(n - r) * inv_fact<MOD>(r);
}
#line 5 "main.cpp"
using namespace std;
template <typename X, typename T> auto make_table(X x, T a) { return vector<T>(x, a); }
template <typename X, typename Y, typename Z, typename... Zs> auto make_table(X x, Y y, Z z, Zs... zs) { auto cont = make_table(y, z, zs...); return vector<decltype(cont)>(x, cont); }
template <typename T> istream & operator >> (istream & in, vector<T> & xs) { REP (i, xs.size()) { in >> xs[i]; } return in; }

constexpr int MOD = 1e9 + 7;
mint<MOD> solve(int n, int x, vector<int> l) {
    sort(l.rbegin(), l.rend());
    auto cur = make_table(n + 1, x + 1, mint<MOD>());
    auto prv = make_table(n + 1, x + 1, mint<MOD>());
    cur[0][0] += 1;
    for (int l_i : l) {
        cur.swap(prv);
        REP (cnt, n + 1) REP (len, x + 1) if (prv[cnt][len]) {
            if (cnt + 1 <= n and len + l_i <= x) {
                cur[cnt + 1][len + l_i] += prv[cnt][len] * (cnt + 1);  // add a new interval
            }
            cur[cnt][len] += prv[cnt][len] * (len - cnt * (l_i - 1));  // entirely included in an existing interval
            REP3 (delta, 1, l_i + 1) if (len + delta <= x) {
                cur[cnt][len + delta] += prv[cnt][len] * (cnt * 2);  // extend an existing interval
            }
            if (cnt >= 2) {
                REP3 (delta, 1, l_i + 1) if (len + delta <= x) {
                    cur[cnt - 1][len + delta] += prv[cnt][len] * (cnt - 1) * (l_i - delta + 1);  // merge two adjacent intervals
                }
            }
            prv[cnt][len] = 0;
        }
    }
    return cur[1][x];
}

int main() {
    int n, x; cin >> n >> x;
    vector<int> l(n); cin >> l;
    cout << solve(n, x, l) << endl;
    return 0;
}


Measured memory_bytes: 640