#include using namespace std; using ll=long long; const ll ILL=2167167167167167167; const int INF=2100000000; #define rep(i,a,b) for (int i=(int)(a);i<(int)(b);i++) #define all(p) p.begin(),p.end() template using _pq = priority_queue, greater>; template int LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template int UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,T b){if(b bool chmax(T &a,T b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} bool yneos(bool a,bool upp=false){if(a){cout<<(upp?"YES\n":"Yes\n");}else{cout<<(upp?"NO\n":"No\n");}return a;} template void vec_out(vector &p,int ty=0){ if(ty==2){cout<<'{';for(int i=0;i<(int)p.size();i++){if(i){cout<<",";}cout<<'"'< T vec_min(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;} template T vec_max(vector &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;} template T vec_sum(vector &a){T ans=T(0);for(auto &x:a) ans+=x;return ans;} int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;} template T square(T a){return a * a;} #include using mint = atcoder::modint; void solve(); // CITRUS CURIO CITY / FREDERIC int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t = 1; // cin >> t; rep(i, 0, t) solve(); } void solve(){ int T, M; cin >> T >> M; mint::set_mod(M); const int L = 5'000'100; vector fact(L + 1); fact[0] = 1; rep(i, 0, L) fact[i + 1] = fact[i] * (i + 1); vector dp2(L + 2); dp2[0] = 1; rep(i, 0, L){ dp2[i + 1] += dp2[i] * 2; dp2[i + 2] += dp2[i] * (i + 1) * 2; } vector dp4(L + 2); dp4[0] = 1; rep(i, 0, L){ dp4[i + 1] += dp4[i]; dp4[i + 2] += dp4[i] * (i + 1); } vector p2(L + 1, 1); rep(i, 0, L) p2[i + 1] = p2[i] * 2; rep(i, 0, L){ dp4[i] -= dp2[i / 2]; dp4[i] *= 2; } { mint tmp = 1; for (int i = 2; i <= L; i += 2){ tmp *= 2; tmp *= i - 1; dp2[i] += tmp; } } rep(i, 0, L){ dp4[i] += p2[i / 2] * fact[i / 2] - dp2[i / 2]; } while (T--){ int N; cin >> N; mint ans = fact[N] * 8; ans -= dp2[N / 2] * 6; ans -= dp4[N] * 4; if (N == 1) ans = 1; cout << ans.val() << "\n"; } }