#include using namespace std; using int64 = long long; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int T; int mod; cin >> T >> mod; vector Ns(T); int Nmax = 0; for(int i = 0; i < T; i++){ cin >> Ns[i]; Nmax = max(Nmax, Ns[i]); } // 前処理 vector fac(Nmax+1), Inv(Nmax+1); fac[0] = 1; for(int i = 1; i <= Nmax; i++){ fac[i] = (int64)fac[i-1] * i % mod; } Inv[0] = Inv[1] = 1; for(int i = 2; i <= Nmax; i++){ Inv[i] = (Inv[i-1] + (int64)(i-1) * Inv[i-2]) % mod; } int H = Nmax / 2; vector pw2(H+1), Sym(H+1); pw2[0] = 1; for(int i = 1; i <= H; i++){ pw2[i] = (pw2[i-1] * 2LL) % mod; } Sym[0] = 1; if(H >= 1) Sym[1] = 2 % mod; for(int i = 2; i <= H; i++){ Sym[i] = ( 2LL * Sym[i-1] + 2LL * (i-1) % mod * Sym[i-2] ) % mod; } // 各クエリ処理 for(int n : Ns){ if(n == 1){ cout << 1 << "\n"; continue; } int64 F = fac[n]; int64 D = Inv[n]; int m = n >> 1; int64 C = (int64)fac[m] * pw2[m] % mod; int64 A = Sym[m]; int64 B = ((n%4==0 || n%4==1) ? 2 : 0); int64 ans = ( 8LL * F - 8LL * D - 4LL * C + 6LL * A - 2LL * B ) % mod; if(ans < 0) ans += mod; cout << ans << "\n"; } return 0; }