using System;
using System.Collections.Generic;
using System.Linq;
using System.IO;
using System.Text;
using System.Numerics;
using System.Threading;
using System.Runtime.CompilerServices;
using static System.Math;
using static System.Array;
using static AtCoder.Sc_out;
using static AtCoder.Tool;
using static AtCoder.ModInt;
namespace AtCoder
{
    class AC
    {
        //const int MOD = 1000000007;
        const int MOD = 998244353;

        const int INF = int.MaxValue / 2;
        const long SINF = long.MaxValue / 2;
        const double EPS = 1e-8;
        static readonly int[] dI = { 0, 1, 0, -1, 1, -1, -1, 1 };
        static readonly int[] dJ = { 1, 0, -1, 0, 1, 1, -1, -1 };
        //static List<List<int>> G = new List<List<int>>();
        //static List<List<Edge>> G = new List<List<Edge>>();
        //static List<Edge> E = new List<Edge>();
        static void Main(string[] args)
        {
            var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }; Console.SetOut(sw);

            var th = new Thread(Run, 1 << 26);
            th.Start();
            th.Join();

            //Run();
            Console.Out.Flush();
        }
        static void Run()
        {
            int Testcase = 1;
            for (var _ = 0; _ < Testcase; _++) Solve();
        }
        static void Solve()
        {
            Cin.Input(out int N, out int Q);
            var A = Cin.ReadSplitLong;
            var B = Cin.ReadSplitLong;
            var pl = new Queue<long[]>();
            var calc = new Math_NTT(998244353, 3);
            for (var i = 0; i < N; i++)
            {
                var now = new long[] { (A[i] - 1 + MOD) % MOD, 1 };
                pl.Enqueue(now);
            }
            while (pl.Count() > 1)
            {
                var a = pl.Dequeue();
                var b = pl.Dequeue();
                var c = calc.Convolution_NTT(a, b);
                pl.Enqueue(c);
            }
            var ans = pl.Dequeue();
            for (var i = 0; i < Q; i++) OutL(ans[B[i]]);
        }
        public struct Edge
        {
            public int from;

            public int to;
            public long dist;

            public Edge(int t, long c)
            {
                from = -1;
                to = t;
                dist = c;
            }
            public Edge(int f, int t, long c)
            {
                from = f;
                to = t;
                dist = c;
            }
        }
    }
    public class Math_NTT
    {
        private long mod;
        private long root;
        public Math_NTT(long prime_mod, long premitive_root) { mod = prime_mod; root = premitive_root; }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        long modpow(long x, long nn) => nn == 0 ? 1 : (nn % 2 == 0 ? modpow((x * x) % mod, nn / 2) : (x * modpow(x, nn - 1)) % mod);
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        long inverse(long x) => modpow(x, mod - 2);
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        /*public long[] NTT(long[] a, bool inv = false)
        {
            int n = a.Length;
            int h = 0;
            for (var i = 0; (1 << i) < n; i++) h++;
            //バタフライ演算準備
            for (var i = 0; i < n; i++)
            {
                int j = 0;
                for (var k = 0; k < h; k++) j |= ((i >> k) & 1) << (h - 1 - k);
                //２進法表記が逆の数字とスワップする
                if (i < j)
                {
                    var kep = a[i];
                    a[i] = a[j];
                    a[j] = kep;
                }
            }
            //バタフライ演算パート
            for (var b = 1; b < n; b <<= 1)
            {
                long W = modpow(root, (inv ? (mod - 1) - (mod - 1) / (b << 1) : (mod - 1) / (b << 1)));
                long z = 1;
                for (var j = 0; j < b; j++)
                {
                    for (var k = 0; k < n; k += (b << 1))
                    {
                        var s = a[k + j];
                        var t = (a[k + j + b] * z) % mod;

                        a[k + j] = (s + t) % mod;
                        a[k + j + b] = (s - t + mod) % mod;
                    }
                    z = (z * W) % mod;
                }
            }
            if (inv)
            {
                for (var i = 0; i < n; i++) a[i] = (a[i] * modpow(n, mod - 2)) % mod;
            }
            return a;
        }*/
        void NTT(ref long[] a, bool rev = false)
        {
            var n = (long)a.Length;
            if (n == 1) return;
            var b = new long[n];
            var s = modpow(root, rev ? (mod - 1 - (mod - 1) / n) : (mod - 1) / n);
            var kp = Enumerable.Repeat((long)1, (int)(n / 2 + 1)).ToArray();
            long i, j, k, l, r;
            for (i = 0; i < n / 2; ++i) kp[i + 1] = (kp[i] * s) % mod;
            for (i = 1, l = n / 2; i < n; i <<= 1, l >>= 1)
            {
                for (j = 0, r = 0; j < l; ++j, r += i)
                {
                    for (k = 0, s = kp[i * j]; k < i; ++k)
                    {
                        var p = a[k + r]; var q = a[k + r + n / 2];
                        b[k + 2 * r] = (p + q) % mod;
                        b[k + 2 * r + i] = ((p - q + mod) % mod * s) % mod;
                    }
                }
                var t = a; a = b; b = t;
            }
            if (rev)
            {
                s = inverse(n);
                for (i = 0; i < n; ++i) a[i] = (a[i] * s) % mod;
            }
        }
        [MethodImpl(MethodImplOptions.AggressiveInlining)]
        public long[] Convolution_NTT(long[] a, long[] b)
        {
            int N = a.Length + b.Length - 1;
            int t = 1;
            while (t < N) t <<= 1;
            var nxa = new long[t];
            var nxb = new long[t];
            for (var i = 0; i < t; i++)
            {
                nxa[i] = i < a.Length ? a[i] : 0;
                nxb[i] = i < b.Length ? b[i] : 0;
            }
            NTT(ref nxa);
            NTT(ref nxb);
            for (var i = 0; i < t; i++) nxa[i] = (nxa[i] * nxb[i]) % mod;
            NTT(ref nxa, true);
            var ret = new long[N];
            for (var i = 0; i < N; i++) ret[i] = nxa[i];
            return ret;
        }
        /*public long[] Convolution_NTT(long[] a, long[] b)
        {
            //memo: mod 998244353 => primitive_root = 3
            //      mod 924844033 => root = 5
            int N = a.Length + b.Length - 1;
            int t = 1;
            while (t < N) t <<= 1;
            var nxa = new long[t];
            var nxb = new long[t];
            for (var i = 0; i < t; i++)
            {
                nxa[i] = i < a.Length ? a[i] : 0;
                nxb[i] = i < b.Length ? b[i] : 0;
            }
            var A = NTT(nxa);
            var B = NTT(nxb);
            for (var i = 0; i < t; i++) A[i] = (A[i] * B[i]) % mod;
            A = NTT(A, true);
            var ret = new long[N];
            for (var i = 0; i < N; i++) ret[i] = A[i];
            return ret;
        }*/
    }
    struct ModInt
    {
        public long value;
        //private const int MOD = 1000000007;
        private const int MOD = 998244353;
        public ModInt(long value) { this.value = value; }
        public static implicit operator ModInt(long a)
        {
            var ret = a % MOD;
            return new ModInt(ret < 0 ? (ret + MOD) : ret);
        }
        public static ModInt operator +(ModInt a, ModInt b) => (a.value + b.value);
        public static ModInt operator -(ModInt a, ModInt b) => (a.value - b.value);
        public static ModInt operator *(ModInt a, ModInt b) => (a.value * b.value);
        public static ModInt operator /(ModInt a, ModInt b) => a * Modpow(b, MOD - 2);
        public static ModInt operator <<(ModInt a, int n) => (a.value << n);
        public static ModInt operator >>(ModInt a, int n) => (a.value >> n);
        public static ModInt operator ++(ModInt a) => a.value + 1;
        public static ModInt operator --(ModInt a) => a.value - 1;
        public static ModInt Modpow(ModInt a, long n)
        {
            var k = a;
            ModInt ret = 1;
            while (n > 0)
            {
                if ((n & 1) != 0) ret *= k;
                k *= k;
                n >>= 1;
            }
            return ret;
        }
        private static readonly List<long> Factorials = new List<long>() { 1 };
        public static ModInt Fac(long n)
        {
            for (var i = Factorials.Count(); i <= n; i++)
            {
                Factorials.Add((Factorials[i - 1] * i) % MOD);
            }
            return Factorials[(int)n];
        }
        public static ModInt nCr(long n, long r)
        {
            return n < r ? 0 : Fac(n) / (Fac(r) * Fac(n - r));
        }
        public static explicit operator int(ModInt a) => (int)a.value;
    }
    static class Cin
    {
        public static string[] ReadSplit => Console.ReadLine().Split();
        public static int[] ReadSplitInt => ConvertAll(Console.ReadLine().Split(), int.Parse);
        public static long[] ReadSplitLong => ConvertAll(Console.ReadLine().Split(), long.Parse);
        public static double[] ReadSplit_Double => ConvertAll(Console.ReadLine().Split(), double.Parse);
        public static string Str => Console.ReadLine();
        public static int Int => int.Parse(Console.ReadLine());
        public static long Long => long.Parse(Console.ReadLine());
        public static double Double => double.Parse(Console.ReadLine());
        public static T Conv<T>(string input)
        {
            if (typeof(T).Equals(typeof(ModInt)))
            {
                return (T)(dynamic)(long.Parse(input));
            }
            return (T)Convert.ChangeType(input, typeof(T));
        }
        public static void Input<T>(out T a) => a = Conv<T>(Console.ReadLine());
        public static void Input<T, U>(out T a, out U b)
        { var q = ReadSplit; a = Conv<T>(q[0]); b = Conv<U>(q[1]); }
        public static void Input<T, U, V>(out T a, out U b, out V c)
        { var q = ReadSplit; a = Conv<T>(q[0]); b = Conv<U>(q[1]); c = Conv<V>(q[2]); }
        public static void Input<T, U, V, W>(out T a, out U b, out V c, out W d)
        { var q = ReadSplit; a = Conv<T>(q[0]); b = Conv<U>(q[1]); c = Conv<V>(q[2]); d = Conv<W>(q[3]); }
        public static void Input<T, U, V, W, X>(out T a, out U b, out V c, out W d, out X e)
        { var q = ReadSplit; a = Conv<T>(q[0]); b = Conv<U>(q[1]); c = Conv<V>(q[2]); d = Conv<W>(q[3]); e = Conv<X>(q[4]); }
    }
    static class Sc_out
    {
        public static void OutL(object s) => Console.WriteLine(s);
        public static void Out_Sep<T>(IEnumerable<T> s) => Console.WriteLine(string.Join(" ", s));
        public static void Out_Sep<T>(IEnumerable<T> s, string sep) => Console.WriteLine(string.Join($"{sep}", s));
        public static void Out_Sep(params object[] s) => Console.WriteLine(string.Join(" ", s));
        public static void Out_One(object s) => Console.Write($"{s} ");
        public static void Out_One(object s, string sep) => Console.Write($"{s}{sep}");
        public static void Endl() => Console.WriteLine();
    }
    public static class Tool
    {
        static public void Initialize<T>(ref T[] array, T initialvalue)
        {
            array = ConvertAll(array, x => initialvalue);
        }
        static public void Swap<T>(ref T a, ref T b)
        {
            T keep = a;
            a = b;
            b = keep;
        }
        static public void Display<T>(T[,] array2d, int n, int m)
        {
            for (var i = 0; i < n; i++)
            {
                for (var j = 0; j < m; j++)
                {
                    Console.Write($"{array2d[i, j]} ");
                }
                Console.WriteLine();
            }
        }
        static public long Gcd(long a, long b)
        {
            if (a == 0 || b == 0) return Max(a, b);
            return a % b == 0 ? b : Gcd(b, a % b);
        }
        static public long LPow(int a, int b) => (long)Pow(a, b);
        static public bool Bit(long x, int dig) => ((1L << dig) & x) != 0;
        static public int Sig(long a) => a == 0 ? 0 : (int)(a / Abs(a));
    }
}