#include <bits/stdc++.h>
using namespace std;
using ll = long long;
ll const m = 998244353;
ll mpow(ll a, ll n) {
    ll ret = 1;
    while (n) {
        if (n & 1) {
            ret = (ret * a) % m;
        }
        a = (a * a) % m;
        n >>= 1;
    }
    return ret;
}
int main () {
    int N, K;
    cin >> N >> K;
    std::vector<int> A(N);
    for (auto& a : A) {
        cin >> a;
    }
    vector<int> B(K + 1, 0);
    for (auto a : A) {
        B[a] ++;
    }
    for (int i = 1; i <= K; i ++) {
        for (int j = 2; j * i <= K; j ++) {
            B[i] += B[i * j];
        }
    }
    vector<ll> dp(K + 1, 0), ans(K + 1, 0), meb(K + 1, -2);
    for (int i = 0; i <= K; i ++) {
        dp[i] = mpow(2, B[i]) - 1;
    }
    meb[1] = 1;
    for (int i = 2; i <= K; i ++) {
        if (meb[i] == -2) {
            meb[i] = -1;
            for (int j = 2; i * j <= K; j ++) {
                if (meb[i * j] == -2) {
                    meb[i * j] = -1;
                } else {
                    meb[i * j] *= -1;
                }
            }
            if (i < 1000) {
                for (int j = 1; i * i * j <= K; j ++) {
                    meb[i * i * j] = 0;
                }
            }
        }
    }
    for (int i = K; i > 0; i --) {
        ans[i] = dp[i];
        for (int j = 2; j * i <= K; j ++) {
            ans[i] += (dp[i * j] * meb[j]);
            ans[i] += m;
            ans[i] %= m;
        }
    }
    for (int i = 1; i <= K; i ++) {
        cout << ans[i] << " ";
    }
    cout << endl;
}