#include <cstdio>
#include <iostream>
#include <string>
#include <sstream>
#include <stack>
#include <algorithm>
#include <cmath>
#include <queue>
#include <map>
#include <set>
#include <cstdlib>
#include <bitset>
#include <tuple>
#include <assert.h>
#include <deque>
#include <bitset>
#include <iomanip>
#include <limits>
#include <chrono>
#include <random>
#include <array>
#include <unordered_map>
#include <functional>
#include <complex>
#include <numeric>
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
constexpr long long MAX = 5100000;
constexpr long long INF = 1LL << 60;
constexpr int inf = 1000000007;
//constexpr long long mod = 1000000007LL;
constexpr long long mod = 998244353LL;
const long double PI = acos((long double)(-1));
using namespace std;
typedef unsigned long long ull;
typedef long long ll;

struct mint {
	long long x;
	mint(long long x = 0) :x((x% mod + mod) % mod) {}
	mint& operator+=(const mint a) {
		if ((x += a.x) >= mod) x -= mod;
		return *this;
	}
	mint& operator-=(const mint a) {
		if ((x += mod - a.x) >= mod) x -= mod;
		return *this;
	}
	mint& operator*=(const mint a) {
		(x *= a.x) %= mod;
		return *this;
	}
	mint operator+(const mint a) const {
		mint res(*this);
		return res += a;
	}
	mint operator-(const mint a) const {
		mint res(*this);
		return res -= a;
	}
	mint operator*(const mint a) const {
		mint res(*this);
		return res *= a;
	}
	mint pow(ll t) const {
		if (!t) return 1;
		mint a = pow(t >> 1);
		a *= a;
		if (t & 1) a *= *this;
		return a;
	}

	// for prime mod
	mint inv() const {
		return pow(mod - 2);
	}
	mint& operator/=(const mint a) {
		return (*this) *= a.inv();
	}
	mint operator/(const mint a) const {
		mint res(*this);
		return res /= a;
	}
};

template< int mod >
struct NumberTheoreticTransform {

    vector< int > rev, rts;
    int base, max_base, root;

    NumberTheoreticTransform() : base(1), rev{ 0, 1 }, rts{ 0, 1 } {
        assert(mod >= 3 && mod % 2 == 1);
        auto tmp = mod - 1;
        max_base = 0;
        while (tmp % 2 == 0) tmp >>= 1, max_base++;
        root = 2;
        while (mod_pow(root, (mod - 1) >> 1) == 1) ++root;
        assert(mod_pow(root, mod - 1) == 1);
        root = mod_pow(root, (mod - 1) >> max_base);
    }

    inline int mod_pow(int x, int n) {
        int ret = 1;
        while (n > 0) {
            if (n & 1) ret = mul(ret, x);
            x = mul(x, x);
            n >>= 1;
        }
        return ret;
    }

    inline int inverse(int x) {
        return mod_pow(x, mod - 2);
    }

    inline unsigned add(unsigned x, unsigned y) {
        x += y;
        if (x >= mod) x -= mod;
        return x;
    }

    inline unsigned mul(unsigned a, unsigned b) {
        return 1ull * a * b % (unsigned long long) mod;
    }

    void ensure_base(int nbase) {
        if (nbase <= base) return;
        rev.resize(1 << nbase);
        rts.resize(1 << nbase);
        for (int i = 0; i < (1 << nbase); i++) {
            rev[i] = (rev[i >> 1] >> 1) + ((i & 1) << (nbase - 1));
        }
        assert(nbase <= max_base);
        while (base < nbase) {
            int z = mod_pow(root, 1 << (max_base - 1 - base));
            for (int i = 1 << (base - 1); i < (1 << base); i++) {
                rts[i << 1] = rts[i];
                rts[(i << 1) + 1] = mul(rts[i], z);
            }
            ++base;
        }
    }


    void ntt(vector< ll >& a) {
        const int n = (int)a.size();
        assert((n & (n - 1)) == 0);
        int zeros = __builtin_ctz(n);
        ensure_base(zeros);
        int shift = base - zeros;
        for (int i = 0; i < n; i++) {
            if (i < (rev[i] >> shift)) {
                swap(a[i], a[rev[i] >> shift]);
            }
        }
        for (int k = 1; k < n; k <<= 1) {
            for (int i = 0; i < n; i += 2 * k) {
                for (int j = 0; j < k; j++) {
                    int z = mul(a[i + j + k], rts[j + k]);
                    a[i + j + k] = add(a[i + j], mod - z);
                    a[i + j] = add(a[i + j], z);
                }
            }
        }
    }


    vector< ll > multiply(vector< ll > a, vector< ll > b) {
        int need = a.size() + b.size() - 1;
        int nbase = 1;
        while ((1 << nbase) < need) nbase++;
        ensure_base(nbase);
        int sz = 1 << nbase;
        a.resize(sz, 0);
        b.resize(sz, 0);
        ntt(a);
        ntt(b);
        int inv_sz = inverse(sz);
        for (int i = 0; i < sz; i++) {
            a[i] = mul(a[i], mul(b[i], inv_sz));
        }
        reverse(a.begin() + 1, a.end());
        ntt(a);
        a.resize(need);
        return a;
    }
};
 
ll n;
vector<ll> a, b;


vector<ll> dfs(int left, int right) {
    if (left >= right) return vector<ll>();
    if (right - left == 1) {
        vector<ll> res(2);
        res[0] = (a[left] - 1) % mod;
        if (res[0] < 0) res[0] += mod;
        res[1] = 1;
        return res;
    }
    ll mid = (left + right) >> 1;
    auto l = dfs(left, mid);
    auto r = dfs(mid, right);
    NumberTheoreticTransform<mod> ntt;
    return ntt.multiply(l, r);
}
int main()
{
	/*
	cin.tie(nullptr);
	ios::sync_with_stdio(false);
	*/

	ll q; scanf("%lld %lld", &n, &q);
	a.resize(n); for (int i = 0; i < n; i++) scanf("%lld", &a[i]);
    b.resize(q); for (int i = 0; i < q; i++) scanf("%lld", &b[i]);
    auto res = dfs(0, n);
    for (int i = 0; i < q; i++) {
        cout << res[b[i]] << "\n";
    }
	return 0;
}