#include "bits/stdc++.h" #pragma GCC optimize("Ofast") // Begin Header {{{ using namespace std; #ifndef DEBUG #define dump(...) #endif #define all(x) x.begin(), x.end() #define rep(i, b, e) for (intmax_t i = (b), i##_limit = (e); i < i##_limit; ++i) #define reps(i, b, e) for (intmax_t i = (b), i##_limit = (e); i <= i##_limit; ++i) #define repr(i, b, e) for (intmax_t i = (b), i##_limit = (e); i >= i##_limit; --i) #define var(Type, ...) Type __VA_ARGS__; input(__VA_ARGS__) constexpr size_t operator""_zu(unsigned long long value) { return value; }; constexpr intmax_t operator""_jd(unsigned long long value) { return value; }; constexpr uintmax_t operator""_ju(unsigned long long value) { return value; }; constexpr int INF = 0x3f3f3f3f; constexpr intmax_t LINF = 0x3f3f3f3f3f3f3f3f_jd; template > using MaxHeap = priority_queue, Compare>; template > using MinHeap = priority_queue, Compare>; inline void input() {} template inline void input(Head&& head, Tail&&... tail) { cin >> head; input(forward(tail)...); } template inline istream& operator>>(istream &is, vector &vec) { for (auto &e: vec) { is >> e; } return is; } inline void output() { cout << "\n"; } template inline void output(Head&& head, Tail&&... tail) { cout << head; if (sizeof...(tail)) { cout << " "; } output(forward(tail)...); } template inline ostream& operator<<(ostream &os, const vector &vec) { static constexpr const char *delim[] = {" ", ""}; for (const auto &e: vec) { os << e << delim[&e == &vec.back()]; } return os; } template inline vector makeVector(const T &initValue, size_t sz) { return vector(sz, initValue); } template inline auto makeVector(const T &initValue, size_t sz, Args... args) { return vector(initValue, args...))>(sz, makeVector(initValue, args...)); } template class FixPoint : Func { public: explicit constexpr FixPoint(Func&& f) noexcept : Func(forward(f)) {} template constexpr decltype(auto) operator()(Args&&... args) const { return Func::operator()(*this, std::forward(args)...); } }; template static inline constexpr decltype(auto) makeFixPoint(Func&& f) noexcept { return FixPoint{forward(f)}; } template struct reverse_t { Container &c; reverse_t(Container &c) : c(c) {} auto begin() { return c.rbegin(); } auto end() { return c.rend(); } }; template auto reversed(Container &c) { return reverse_t(c); } template inline bool chmax(T &a, const T &b) noexcept { return b > a && (a = b, true); } template inline bool chmin(T &a, const T &b) noexcept { return b < a && (a = b, true); } template inline T diff(const T &a, const T &b) noexcept { return a < b ? b - a : a - b; } // End Header }}} const intmax_t MOD = 998244353; // ModInt {{{ template class ModInt { intmax_t value; public: inline ModInt(const ModInt& other) : value(other.value) {} inline ModInt(intmax_t value = 0) { if (value >= MOD) { this->value = value % MOD; } else if (value < 0) { this->value = (value % MOD + MOD) % MOD; } else { this->value = value; } } template explicit inline operator T() const { return static_cast(value); } inline ModInt inverse() const { return ModInt::pow(value, MOD - 2); } inline ModInt& operator+=(const ModInt other) { if ((value += other.value) >= MOD) value -= MOD; return *this; } inline ModInt& operator-=(const ModInt other) { if ((value -= other.value) < 0) value += MOD; return *this; } inline ModInt& operator*=(const ModInt other) { value = (value * other.value) % MOD; return *this; } inline ModInt& operator/=(const ModInt other) { value = (value * other.inverse().value) % MOD; return *this; } inline ModInt operator+(const ModInt other) { return ModInt(*this) += other; } inline ModInt operator-(const ModInt other) { return ModInt(*this) -= other; } inline ModInt operator*(const ModInt other) { return ModInt(*this) *= other; } inline ModInt operator/(const ModInt other) { return ModInt(*this) /= other; } inline bool operator==(const ModInt other) { return value == other.value; } inline bool operator!=(const ModInt other) { return value != other.value; } friend ostream& operator<<(ostream &os, const ModInt other) { os << other.value; return os; } friend istream& operator>>(istream &is, ModInt& other) { is >> other.value; return is; } static constexpr inline ModInt pow(intmax_t n, intmax_t p) { intmax_t ret = 1; for (; p > 0; p >>= 1) { if (p & 1) ret = (ret * n) % MOD; n = (n * n) % MOD; } return ret; } }; using Mint = ModInt; // }}} signed main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.setf(ios_base::fixed); cout.precision(10); var(size_t, N, Q); vector a(N), b(Q); input(a, b); auto dp = makeVector(0, 2, size_t(6e3 + 1)); // dp[i][cnt] := i 個目の箱までで、色1の玉が cnt 個ある場合の数 (i の値は i の偶奇とする) dp[0][0] = a[0] - 1; dp[0][1] = 1; rep(i, 1, N) reps(cnt, 0, N) { if (cnt > 0) { dp[i & 1][cnt] = dp[(i - 1) & 1][cnt] * Mint(a[i] - 1) + dp[(i - 1) & 1][cnt - 1]; } else { dp[i & 1][cnt] = dp[(i - 1) & 1][cnt] * Mint(a[i] - 1); } } for (const auto bi: b) output(dp[(N - 1) & 1][bi]); return 0; }