#include <algorithm>
#include <cmath>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <set>
#include <string>
#include <tuple>
#include <vector>

#define mkp make_pair
#define mkt make_tuple
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define all(v) v.begin(), v.end()
using namespace std;
typedef long long ll;
// const ll MOD = 1e9 + 7;
const ll MOD = 998244353;
template <class T>
void chmin(T &a, const T &b) {
    if (a > b) a = b;
}
template <class T>
void chmax(T &a, const T &b) {
    if (a < b) a = b;
}

#define MAX_N 1000010
ll inv[MAX_N + 10], fac[MAX_N + 10], ifac[MAX_N + 10];

void setComb() {
    inv[0] = 1;
    inv[1] = 1;
    fac[1] = 1;
    ifac[1] = 1;
    fac[0] = 1;
    ifac[0] = 1;
    for (int i = 2; i < MAX_N; i++) {
        inv[i] = (-MOD / i) * inv[MOD % i] % MOD;
        fac[i] = fac[i - 1] * i % MOD;
        ifac[i] = ifac[i - 1] * inv[i] % MOD;

        inv[i] = (inv[i] + MOD) % MOD;
        fac[i] = (fac[i] + MOD) % MOD;
        ifac[i] = (ifac[i] + MOD) % MOD;
    }
    return;
}

ll comb(ll n, ll k) {
    if (n < k || n < 0 || k < 0)
        return 0;
    else
        return ((fac[n] * ifac[k] % MOD * ifac[n - k] % MOD + MOD) % MOD);
}

ll hcomb(ll n, ll r) {  // this size is really ok??
    if (n == 0 && r == 0)
        return 1;
    else if (n < 0 || r < 0)
        return 0;
    else
        return comb(n + r - 1, r);
}

ll binom(ll n, ll k) {
    if (n < k || n < 0 || k < 0) return 0;
    n %= MOD;
    ll res = 1;
    for (ll i = 0; i < k; i++) res = res * ((n - i + MOD) % MOD) % MOD;
    res = res * ifac[k] % MOD;
    return res;
}

ll mod_pow(ll x, ll n) {
    x %= MOD;
    ll res = 1;
    while (n > 0) {
        if (n & 1) res = res * x % MOD;
        x = x * x % MOD;
        n >>= 1;
    }
    return res;
}

ll mod_inverse(ll x) {
    return mod_pow(x, MOD - 2);
}

void add(ll &a, ll b) {
    a = (a + b) % MOD;
}

void mul(ll &a, ll b) {
    a %= MOD;
    b %= MOD;
    a = a * b % MOD;
}

void solve() {
    setComb();

    int N;
    ll L;
    cin >> N >> L;
    vector<ll> A(N);
    rep(i, N) cin >> A[i];

    vector<ll> ans(N, 0);
    for (int i = 0; i < N; i++) {
        {  // to left
            bool ng = false;
            for (int j = i + 1; j < N; j++)
                if (L - A[j] > A[i]) ng = true;
            if (!ng) {
                int freedom = 0;
                for (int j = 0; j < i; j++)
                    if (L - A[j] <= A[i]) freedom++;

                for (int k = 0; k <= freedom; k++)
                    if (i - k >= 0) add(ans[i - k], comb(freedom, k));
            }
        }

        {  // to right
            bool ng = false;
            for (int j = 0; j < i; j++)
                if (A[j] >= L - A[i]) ng = true;
            if (!ng) {
                int freedom = 0;
                for (int j = i + 1; j < N; j++)
                    if (A[j] < L - A[i]) freedom++;

                for (int k = 0; k <= freedom; k++)
                    if (i + k < N) add(ans[i + k], comb(freedom, k));
            }
        }
    }

    rep(i, N) cout << ans[i] << "\n";
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);

    solve();

    return 0;
}