// >>> TEMPLATES #include using namespace std; using ll = long long; using ld = long double; #define int ll #define double ld #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define rep1(i,n) for (int i = 1; i <= (int)(n); i++) #define repR(i,n) for (int i = (int)(n)-1; i >= 0; i--) #define rep1R(i,n) for (int i = (int)(n); i >= 1; i--) #define loop(i,a,B) for (int i = a; i B; i++) #define loopR(i,a,B) for (int i = a; i B; i--) #define all(x) (x).begin(), (x).end() #define allR(x) (x).rbegin(), (x).rend() #define pb push_back #define eb emplace_back #define mp make_pair #define fst first #define snd second #define INF (numeric_limits::max()/2-1) #ifdef LOCAL #include "debug.hpp" #define dump(...) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] ", dump_impl(#__VA_ARGS__, __VA_ARGS__) #define say(x) cerr << "[" << __LINE__ << ":" << __FUNCTION__ << "] " << x << endl #define debug if (1) #else #define dump(...) (void)(0) #define say(x) (void)(0) #define debug if (0) #endif template using pque_max = priority_queue; template using pque_min = priority_queue, greater >; template ::value>::type> ostream& operator<<(ostream& os, T const& v) { bool f = true; for (auto const& x : v) os << (f ? "" : " ") << x, f = false; return os; } template ::value>::type> istream& operator>>(istream& is, T &v) { for (auto& x : v) is >> x; return is; } template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup; template struct FixPoint : private F { constexpr FixPoint(F&& f) : F(forward(f)) {} template constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward(x)...); } }; struct MakeFixPoint { template constexpr auto operator|(F&& f) const { return FixPoint(forward(f)); } }; #define MFP MakeFixPoint()| #define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__) template struct vec_impl { using type = vector::type>; template static type make_v(size_t n, U&&... x) { return type(n, vec_impl::make_v(forward(x)...)); } }; template struct vec_impl { using type = T; static type make_v(T const& x = {}) { return x; } }; template using vec = typename vec_impl::type; template auto make_v(Args&&... args) { return vec_impl::make_v(forward(args)...); } template void quit(T const& x) { cout << x << endl; exit(0); } template constexpr bool chmin(T& x, T const& y) { if (x > y) { x = y; return true; } return false; } template constexpr bool chmax(T& x, T const& y) { if (x < y) { x = y; return true; } return false; } template constexpr auto sumof(It b, It e) { return accumulate(b,e,typename iterator_traits::value_type{}); } template int sz(T const& x) { return x.size(); } template int lbd(C const& v, T const& x) { return lower_bound(v.begin(), v.end(), x)-v.begin(); } template int ubd(C const& v, T const& x) { return upper_bound(v.begin(), v.end(), x)-v.begin(); } // <<< // >>> modint template struct ModInt { using u32 = uint32_t; using u64 = uint64_t; using i64 = int64_t; using M = ModInt; static constexpr u32 mul_inv(u32 n, int e = 5, u32 x = 1) { return e == 0 ? x : mul_inv(n, e-1, x*(2-x*n)); } static constexpr u32 mod = MOD; static constexpr u32 nn = mul_inv(MOD); static constexpr u32 r2 = -u64(MOD) % MOD; u32 x; constexpr ModInt(i64 x = 0) : x(reduce(((x%=MOD)<0 ? x+MOD : x)*r2)) {} static constexpr u32 reduce(u64 w) { return u32(w >> 32) + MOD - i64((u64(u32(w) * nn) * MOD) >> 32); } constexpr i64 val() const { i64 r = reduce(x); if (r >= MOD) r -= MOD; return r; } constexpr operator i64() const { return val(); } constexpr bool operator==(M p) const { return val() == p.val(); } constexpr bool operator!=(M p) const { return val() != p.val(); } constexpr M operator+() const { return *this; } constexpr M operator-() const { M r; r.x = x ? i64(2*MOD)-x : 0; return r; } constexpr M &operator+=(M p) { i64 t = x; if (((t += p.x) -= 2*MOD) < 0) t += 2*MOD; x = t; return *this; } constexpr M &operator-=(M p) { return *this += -p; } constexpr M &operator*=(M p) { x = reduce(u64(x)*p.x); return *this; } constexpr M &operator/=(M p) { *this *= p.inv(); return *this; } constexpr M operator+(M p) const { return M(*this) += p; } constexpr M operator-(M p) const { return M(*this) -= p; } constexpr M operator*(M p) const { return M(*this) *= p; } constexpr M operator/(M p) const { return M(*this) /= p; } friend constexpr M operator+(i64 x, M y) { return M(x)+y; } friend constexpr M operator-(i64 x, M y) { return M(x)-y; } friend constexpr M operator*(i64 x, M y) { return M(x)*y; } friend constexpr M operator/(i64 x, M y) { return M(x)/y; } constexpr M inv() const { return pow(MOD - 2); } constexpr M pow(i64 n) const { if (n < 0) return inv().pow(-n); M v = *this, r = 1; for (; n > 0; n >>= 1, v *= v) if (n&1) r *= v; return r; } friend ostream &operator<<(ostream &os, M p) { return os << p.val(); } friend istream &operator>>(istream &is, M &a) { u32 t; is >> t; a = t; return is; } #ifdef LOCAL friend string to_s(M p) { return to_s(p.val(), MOD); } #endif }; // <<< constexpr int64_t MOD = 998244353; //constexpr int64_t MOD = 1e9+7; using mint = ModInt; int32_t main() { int n,m; cin >> n >> m; cout << mint(2).pow(n) << " "; auto f = [&](int m, int n) { mint p = 1, q = 1; rep (i,n) p *= mint(2).pow(m) - mint(2).pow(i); rep1 (i,n) q *= i; return p/q; }; cout << f(m,n) << " "; cout << f(m,n)/f(n,n) << endl; }