#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint998244353; const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n-1); i >= 0; --i) #define rrep2(i,l,r)for(int i=(r-1);i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define endl "\n" #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } /*template struct FormalPowerSeries : vector { using vector::vector; using vector::operator=; using F = FormalPowerSeries; F operator-() const { F res(*this); for (auto &e : res) e = -e; return res; } F &operator*=(const T &g) { for (auto &e : *this) e *= g; return *this; } F &operator/=(const T &g) { assert(g != T(0)); *this *= g.inv(); return *this; } F &operator+=(const F &g) { int n = (*this).size(), m = g.size(); rep(i, min(n, m)) (*this)[i] += g[i]; return *this; } F &operator-=(const F &g) { int n = (*this).size(), m = g.size(); rep(i, min(n, m)) (*this)[i] -= g[i]; return *this; } F &operator<<=(const int d) { int n = (*this).size(); (*this).insert((*this).begin(), d, 0); (*this).resize(n); return *this; } F &operator>>=(const int d) { int n = (*this).size(); (*this).erase((*this).begin(), (*this).begin() + min(n, d)); (*this).resize(n); return *this; } F inv(int d = -1) const { int n = (*this).size(); assert(n != 0 && (*this)[0] != 0); if (d == -1) d = n; assert(d > 0); F res{ (*this)[0].inv() }; while (res.size() < d) { int m = size(res); F f(begin(*this), begin(*this) + min(n, 2 * m)); F r(res); f.resize(2 * m), internal::butterfly(f); r.resize(2 * m), internal::butterfly(r); rep(i, 2 * m) f[i] *= r[i]; internal::butterfly_inv(f); f.erase(f.begin(), f.begin() + m); f.resize(2 * m), internal::butterfly(f); rep(i, 2 * m) f[i] *= r[i]; internal::butterfly_inv(f); T iz = T(2 * m).inv(); iz *= -iz; rep(i, m) f[i] *= iz; res.insert(res.end(), f.begin(), f.begin() + m); } return { res.begin(), res.begin() + d }; } // // fast: FMT-friendly modulus only // F &operator*=(const F &g) { // int n = (*this).size(); // *this = convolution(*this, g); // (*this).resize(n); // return *this; // } // F &operator/=(const F &g) { // int n = (*this).size(); // *this = convolution(*this, g.inv(n)); // (*this).resize(n); // return *this; // } // // naive // F &operator*=(const F &g) { // int n = (*this).size(), m = g.size(); // drep(i, n) { // (*this)[i] *= g[0]; // rep2(j, 1, min(i+1, m)) (*this)[i] += (*this)[i-j] * g[j]; // } // return *this; // } // F &operator/=(const F &g) { // assert(g[0] != T(0)); // T ig0 = g[0].inv(); // int n = (*this).size(), m = g.size(); // rep(i, n) { // rep2(j, 1, min(i+1, m)) (*this)[i] -= (*this)[i-j] * g[j]; // (*this)[i] *= ig0; // } // return *this; // } // sparse F &operator*=(vector> g) { int n = (*this).size(); auto[d, c] = g.front(); if (d == 0) g.erase(g.begin()); else c = 0; drep(i, n) { (*this)[i] *= c; for (auto &[j, b] : g) { if (j > i) break; (*this)[i] += (*this)[i - j] * b; } } return *this; } F &operator/=(vector> g) { int n = (*this).size(); auto[d, c] = g.front(); assert(d == 0 && c != T(0)); T ic = c.inv(); g.erase(g.begin()); rep(i, n) { for (auto &[j, b] : g) { if (j > i) break; (*this)[i] -= (*this)[i - j] * b; } (*this)[i] *= ic; } return *this; } // multiply and divide (1 + cz^d) void multiply(const int d, const T c) { int n = (*this).size(); if (c == T(1)) drep(i, n - d) (*this)[i + d] += (*this)[i]; else if (c == T(-1)) drep(i, n - d) (*this)[i + d] -= (*this)[i]; else drep(i, n - d) (*this)[i + d] += (*this)[i] * c; } void divide(const int d, const T c) { int n = (*this).size(); if (c == T(1)) rep(i, n - d) (*this)[i + d] -= (*this)[i]; else if (c == T(-1)) rep(i, n - d) (*this)[i + d] += (*this)[i]; else rep(i, n - d) (*this)[i + d] -= (*this)[i] * c; } T eval(const T &a) const { T x(1), res(0); for (auto e : *this) res += e * x, x *= a; return res; } F operator*(const T &g) const { return F(*this) *= g; } F operator/(const T &g) const { return F(*this) /= g; } F operator+(const F &g) const { return F(*this) += g; } F operator-(const F &g) const { return F(*this) -= g; } F operator<<(const int d) const { return F(*this) <<= d; } F operator>>(const int d) const { return F(*this) >>= d; } F operator*(const F &g) const { return F(*this) *= g; } F operator/(const F &g) const { return F(*this) /= g; } F operator*(vector> g) const { return F(*this) *= g; } F operator/(vector> g) const { return F(*this) /= g; } }; using fps = FormalPowerSeries; using sfps = vector>;*/ int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; vectora(n); int sum = 0; rep(i, n) { cin >> a[i]; sum += a[i]; } mint ans = 0; rep(i, n) { mint sub = pow_mod(2, n - 1, mod); sub *= a[i]; ans += sub; } if (sum >= 999630629) { int over = sum - 999630629; vectorf = { 1 }; rep(i, n) { vector g = { 1,a[i] }; auto h = convolution(f, g); if (h.size() > (over + 1))h.resize(over + 1); } rep(i, f.size())ans-=f[i] * 999630629; } cout << ans.val() << endl; return 0; }