#include #include #include using std::cin; using std::cout; const char endl = '\n'; const int mod = 998244353; constexpr long long binpow(long long a, long long b) { a %= mod; long long res = 1; while (b) { if (b & 1) res = res * a % mod; a = a * a % mod; b >>= 1; } return res; } class Poly : public std::vector { private: static void number_theoretic_transform(std::vector &a) { if (a.size() == 1) return; // assert(a.size() == (1 << std::__lg(a.size()))); int k = std::__lg(a.size()); for (int i = 0; i < a.size(); i++) { int t = 0; for (int j = 0; j < k; j++) { if (i & (1 << j)) { t |= 1 << (k - j - 1); } } if (i < t) std::swap(a[i], a[t]); } for (int len = 2; len <= a.size(); len <<= 1) { int m = len >> 1; long long wn = binpow(3, (mod - 1) / len); for (int i = 0; i < a.size(); i += len) { long long w = 1; for (int j = 0; j < m; j++) { long long u = a[i + j], v = a[i + j + m] * w % mod; a[i + j] = ((u + v) % mod + mod) % mod; a[i + j + m] = ((u - v) % mod + mod) % mod; w = w * wn % mod; } } } } static void dft(std::vector &a) { number_theoretic_transform(a); } static void idft(std::vector &a) { number_theoretic_transform(a); std::reverse(a.begin() + 1, a.end()); long long inv = binpow(a.size(), mod - 2); std::transform(a.begin(), a.end(), a.begin(), [&](long long x) { return x * inv % mod; }); } static Poly derivative(const Poly &a) { Poly b{a}; for (int i = 1; i < a.size(); i++) { b[i - 1] = b[i] * i % mod; } b[a.size() - 1] = 0; return b; } static Poly integrate(const Poly &a) { Poly b{a}; for (int i = a.size() - 1; i >= 1; i--) { b[i] = b[i - 1] * binpow(i, mod - 2) % mod; } b[0] = 0; return b; } public: using std::vector::vector; Poly() = default; Poly(const std::vector &__v) : std::vector(__v) {} Poly(std::vector &&__v) : std::vector(std::move(__v)) {} Poly operator*(const Poly &b) { int n = size() - 1, m = b.size() - 1, k = 1 << (std::__lg(n + m) + 1); long long inv = binpow(k, mod - 2); std::vector f(*this), g(b); f.resize(k); dft(f); g.resize(k); dft(g); for (int i = 0; i < k; i++) { f[i] = f[i] * g[i] % mod; } idft(f); f.resize(n + m + 1); return Poly(f); } Poly operator/(const Poly &b) { Poly c{inv(b)}; return *this * c; } static Poly inv(Poly a) { if (a.size() == 1) return Poly{binpow(a[0], mod - 2)}; int n = a.size(), k = 1 << (std::__lg(n << 1) + 1); Poly b{a}; a.resize(k); dft(a); b.resize(n + 1 >> 1); b = inv(b); b.resize(k); dft(b); for (int i = 0; i < k; i++) { b[i] = (2 - a[i] * b[i] % mod + mod) % mod * b[i] % mod; } idft(b); b.resize(n); return b; } static Poly ln(Poly f) { Poly a{derivative(f)}, b{inv(f)}, res{integrate(a * b)}; res.resize(f.size()); return res; } } poly; int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); int n; cin >> n; Poly a(n); for (int i = 0; i < n; i++) { cin >> a[i]; } Poly b = Poly::ln(a); for (int i = 0; i < n; i++) { cout << b[i] << ' '; } cout << endl; return 0; }