//#define NDEBUG #include #include #include #include #include #include namespace n91 { using i8 = std::int_fast8_t; using i32 = std::int_fast32_t; using i64 = std::int_fast64_t; using u8 = std::uint_fast8_t; using u32 = std::uint_fast32_t; using u64 = std::uint_fast64_t; using isize = std::ptrdiff_t; using usize = std::size_t; struct rep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { ++i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr rep(const usize f, const usize l) noexcept : f(std::min(f, l)), l(l) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; struct revrep { struct itr { usize i; constexpr itr(const usize i) noexcept : i(i) {} void operator++() noexcept { --i; } constexpr usize operator*() const noexcept { return i; } constexpr bool operator!=(const itr x) const noexcept { return i != x.i; } }; const itr f, l; constexpr revrep(const usize f, const usize l) noexcept : f(l - 1), l(std::min(f, l) - 1) {} constexpr auto begin() const noexcept { return f; } constexpr auto end() const noexcept { return l; } }; template auto md_vec(const usize n, const T& value) { return std::vector(n, value); } template auto md_vec(const usize n, Args... args) { return std::vector(n, md_vec(args...)); } template constexpr T difference(const T& a, const T& b) noexcept { return a < b ? b - a : a - b; } template void chmin(T& a, const T& b) noexcept { if (b < a) a = b; } template void chmax(T& a, const T& b) noexcept { if (a < b) a = b; } template class fix_point : private F { public: explicit constexpr fix_point(F&& f) : F(std::forward(f)) {} template constexpr decltype(auto) operator()(Args&&... args) const { return F::operator()(*this, std::forward(args)...); } }; template constexpr decltype(auto) make_fix(F&& f) { return fix_point(std::forward(f)); } template T scan() { T ret; std::cin >> ret; return ret; } } // namespace n91 #include namespace n91 { template class modint { using u64 = std::uint_fast64_t; public: using value_type = u64; static constexpr u64 mod = Modulus; private: static_assert(mod < static_cast(1) << 32, "Modulus must be less than 2**32"); u64 v; constexpr modint& negate() noexcept { if (v != 0) v = mod - v; return *this; } public: constexpr modint(const u64 x = 0) noexcept : v(x% mod) {} constexpr u64& value() noexcept { return v; } constexpr const u64& value() const noexcept { return v; } constexpr modint operator+() const noexcept { return modint(*this); } constexpr modint operator-() const noexcept { return modint(*this).negate(); } constexpr modint operator+(const modint rhs) const noexcept { return modint(*this) += rhs; } constexpr modint operator-(const modint rhs) const noexcept { return modint(*this) -= rhs; } constexpr modint operator*(const modint rhs) const noexcept { return modint(*this) *= rhs; } constexpr modint operator/(const modint rhs) const noexcept { return modint(*this) /= rhs; } constexpr modint& operator+=(const modint rhs) noexcept { v += rhs.v; if (v >= mod) v -= mod; return *this; } constexpr modint& operator-=(const modint rhs) noexcept { if (v < rhs.v) v += mod; v -= rhs.v; return *this; } constexpr modint& operator*=(const modint rhs) noexcept { v = v * rhs.v % mod; return *this; } constexpr modint& operator/=(modint rhs) noexcept { u64 exp = mod - 2; while (exp) { if (exp % 2 != 0) *this *= rhs; rhs *= rhs; exp /= 2; } return *this; } constexpr bool operator==(const modint rhs) const noexcept { return v == rhs.v; } constexpr bool operator!=(const modint rhs) const noexcept { return v != rhs.v; } }; template constexpr typename modint::u64 modint::mod; } // namespace n91 #include #include namespace n91 { template > constexpr T power(T base, U exp, const Operate& oper = Operate(), T iden = 1) { while (exp != 0) { if (exp % 2 != 0) { iden = oper(iden, base); } exp /= 2; base = oper(base, base); } return iden; } } // namespace n91 namespace n91 { void main_() { /* std::ios::sync_with_stdio(false); std::cin.tie(nullptr); //*/ using mint = modint<998244353>; const usize n = scan(); const usize m = scan(); std::cout << power(static_cast(2), n).value() << " "; const mint al = power(static_cast(2), m); mint ans = 1; mint acc = 1; for (const usize i : rep(0, n)) { ans *= al - acc; acc *= 2; } std::cout << ans.value() << " "; { const mint al2 = power(static_cast(2), n); mint ans2 = 1; acc = 1; for (const usize i : rep(0, n)) { ans2 *= al2 - acc; acc *= 2; } std::cout << (ans / ans2).value() << std::endl; } } } // namespace n91 int main() { n91::main_(); return 0; }