#include <bits/stdc++.h>
using namespace std;

using i64 = long long;

template <int P>
struct ModInt {
    int v;

    constexpr ModInt() : v(0) {}
    constexpr ModInt(i64 v_) : v(v_ % P) {
        if (v < 0) {
            v += P;
        }
    }
    constexpr explicit operator int() const { return v; }
    constexpr friend ostream& operator<<(ostream &out, ModInt n) {
        return out << int(n);
    }
    constexpr friend istream& operator>>(istream &in, ModInt &n) {
        i64 v;
        in >> v;
        n = ModInt(v);
        return in;
    }

    constexpr friend bool operator==(ModInt a, ModInt b) {
        return a.v == b.v;
    }
    constexpr friend bool operator!=(ModInt a, ModInt b) {
        return a.v != b.v;
    }

    constexpr ModInt operator-() {
        ModInt res;
        res.v = v ? P - v : 0;
        return res;
    }

    constexpr ModInt& operator++() {
        v++;
        if (v == P) v = 0;
        return *this;
    }
    constexpr ModInt& operator--() {
        if (v == 0) v = P;
        v--;
        return *this;
    }
    constexpr ModInt& operator+=(ModInt o) {
        v -= P - o.v;
        v = (v < 0) ? v + P : v;
        return *this;
    }
    constexpr ModInt& operator-=(ModInt o) {
        v -= o.v;
        v = (v < 0) ? v + P : v;
        return *this;
    }
    constexpr ModInt& operator*=(ModInt o) {
        v = 1LL * v * o.v % P;
        return *this;
    }
    constexpr ModInt& operator/=(ModInt o) { return *this *= o.inv(); }

    constexpr friend ModInt operator++(ModInt &a, int) {
        ModInt r = a;
        ++a;
        return r;
    }
    constexpr friend ModInt operator--(ModInt &a, int) {
        ModInt r = a;
        --a;
        return r;
    }

    constexpr friend ModInt operator+(ModInt a, ModInt b) {
        return ModInt(a) += b;
    }
    constexpr friend ModInt operator-(ModInt a, ModInt b) {
        return ModInt(a) -= b;
    }
    constexpr friend ModInt operator*(ModInt a, ModInt b) {
        return ModInt(a) *= b;
    }
    constexpr friend ModInt operator/(ModInt a, ModInt b) {
        return ModInt(a) /= b;
    }

    constexpr ModInt qpow(i64 p) {
        ModInt res = 1, x = v;
        while (p > 0) {
            if (p & 1) { res *= x; }
            x *= x;
            p >>= 1;
        }
        return res;
    }
    constexpr ModInt inv() {
        return qpow(P - 2);
    }
};

constexpr int P = 998244353;
using Mint = ModInt<P>;

struct Combinatorial {
    int n;
    vector<Mint> _fact;
    vector<Mint> _ifact;
    vector<Mint> _inv;
    
    Combinatorial() : n{0}, _fact{1}, _ifact{1}, _inv{0} {}
    Combinatorial(int n) : Combinatorial() {
        init(n);
    }
    
    void init(int m) {
        if (m <= n) return;
        _fact.resize(m + 1);
        _ifact.resize(m + 1);
        _inv.resize(m + 1);
        
        for (int i = n + 1; i <= m; i++) {
            _fact[i] = _fact[i - 1] * i;
        }
        _ifact[m] = _fact[m].inv();
        for (int i = m; i > n; i--) {
            _ifact[i - 1] = _ifact[i] * i;
            _inv[i] = _ifact[i] * _fact[i - 1];
        }
        n = m;
    }
    
    Mint fact(int m) {
        if (m > n) init(2 * m);
        return _fact[m];
    }
    Mint ifact(int m) {
        if (m > n) init(2 * m);
        return _ifact[m];
    }
    Mint inv(int m) {
        if (m > n) init(2 * m);
        return _inv[m];
    }
    Mint binom(int n, int m) {
        if (n < m || m < 0) return 0;
        return fact(n) * ifact(m) * ifact(n - m);
    }
} comb;

int main() {
    cin.tie(nullptr)->sync_with_stdio(false);

    auto solve = [&]() {
        int n, m;
        cin >> n >> m;

        vector<int> a(n);
        for (int i = 0; i < n; i++) {
            cin >> a[i];
        }

        vector<int> o(n);
        iota(o.begin(), o.end(), 0);
        sort(o.begin(), o.end(), [&](int i, int j) { return a[i] > a[j]; });

        vector<Mint> dp(m + 1), ans(n + 1);
        dp[0] = 1;

        for (int i = 0; i < n; i++) {
            Mint s = 0;
            for (int j = max(0, m - a[o[i]]); j <= m; j++) {
                s += dp[j];
            }
            for (int j = 0; j <= n - i - 1; j++) {
                ans[j] += s * comb.binom(n - i - 1, j);
            }
            for (int j = m; j >= 0; j--) {
                dp[min(j + a[o[i]], m)] += dp[j];
            }

        }

        for (int i = 0; i <= n; i++) {
            cout << ans[i] << '\n';
        }
    };
    
    solve();
    
    return 0;
}