#include #include using namespace std; using namespace atcoder; using ll = long long; using mint = modint998244353; using vi = vector; using vvi = vector; using vvvi = vector; using vll = vector; using vvll = vector; using vvvll = vector; using vmi = vector; using vvmi = vector; using vvvmi = vector; #define all(a) (a).begin(), (a).end() #define rep2(i, m, n) for (int i = (m); i < (n); ++i) #define rep(i, n) rep2(i, 0, n) #define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i) #define drep(i, n) drep2(i, n, 0) class Primes{ private: int size_p; vector is_p; vector primes; vector minfactor; vector mobius; void eratos(int n){ for(int i=2; i<=n; i++){ if(minfactor[i] < i)continue; primes.emplace_back(i); mobius[i] = -1; is_p[i] =true; for(int j = 2*i; j<=n; j+=i){ minfactor[j] = min(i, minfactor[j]); mobius[j] = ((j/i) % i == 0) ? 0 : -mobius[j]; } } } public: Primes(int n){ size_p = n; rep(i, size_p+1)is_p.emplace_back(false); rep(i, size_p+1)minfactor.emplace_back(i); rep(i, size_p+1)mobius.push_back(1); mobius[1] = 1; eratos(size_p); } bool isprime(int n){ return is_p[n]; } vector listPrimes(){ return primes; } int getMobius(int n){return mobius[n];} }; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int n, m; cin >> n >> m; Primes pr(m+1); vi cnt(m+1, 0); rep(i, n){ int a; cin >> a; cnt[a]++; } vmi g(m+1, 0); rep2(i, 1, m+1){ int t = 0; for(int j = i; j <= m; j+=i) t += cnt[j]; g[i] = mint(2).pow(t) - 1; } rep2(i, 1, m+1){ mint ans = mint(0); for(int j = i; j <= m; j+=i)ans += pr.getMobius(j/i)*g[j]; cout << ans.val() << endl; } return 0; }