/** author: shobonvip created: 2025.04.20 17:42:14 **/ #include using namespace std; //* ATCODER #include using namespace atcoder; typedef modint mint; //*/ /* BOOST MULTIPRECISION #include using namespace boost::multiprecision; //*/ typedef long long ll; #define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++) #define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--) #define all(v) v.begin(), v.end() template bool chmin(T &a, const T &b) { if (a <= b) return false; a = b; return true; } template bool chmax(T &a, const T &b) { if (a >= b) return false; a = b; return true; } template T max(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]); return ret; } template T min(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]); return ret; } template T sum(vector &a){ T ret = 0; for (int i=0; i<(int)a.size(); i++) ret += a[i]; return ret; } mint op(mint a, mint b) { return a * b; } mint e() { return 1; } // https://oeis.org/A000899/a000899_1.pdf int main(){ ios_base::sync_with_stdio(false); cin.tie(NULL); int t;cin >> t; int mod;cin >> mod; mint::set_mod(mod); const int mx=(int)5e6; vector P(mx+1); vector G(mx+1); vector R(mx+1); vector D(mx+1); vector B(mx+1); vector init(mx+1); iota(all(init),0); init[0]=1; segtree seg(init); rep(i,0,mx+1){ P[i]=seg.prod(0,i+1); G[i]=seg.prod(0,i/2+1)*mint(2).pow(i/2); if(i%4==0||i%4==1){ R[i]=seg.prod(i/4+1,i/4*2+1); } if(i==0) D[i]=1; else if(i==1) D[i]=D[i-1]; else D[i]=D[i-1]+(i-1)*D[i-2]; if(i==0) B[i]=1; else if(i==1) B[i]=0; else if(i==2) B[i]=2; else if(i==3) B[i]=2; else { int x=i/2*2; B[i]=2*B[x-2]+(x-2)*B[x-4]; } /* cout << P[i].val() << ' '; cout << G[i].val() << ' '; cout << R[i].val() << ' '; cout << D[i].val() << ' '; cout << B[i].val() << endl; */ } vector ans(mx+1); ans[1]=1; rep(n,2,mx+1){ // (2) = R[n]+B[n] // (4) = 2*D[n]-3*B[n]+G[n]-R[n] // (8) = R[n]-G[n]+2*B[n]-2*D[n] mint two = R[n]+B[n]; mint four = 2*D[n]-3*B[n]+G[n]-R[n]; mint eight = P[n]-G[n]+2*B[n]-2*D[n]; /* cout << two.val() << ' '; cout << four.val() << ' '; cout << eight.val() << endl; */ ans[n] = 2*two+4*four+8*eight; } while(t--){ int x; cin >> x; cout<