#line 1 "/opt/library/template.hpp" #include using namespace std; using ll = long long; using i64 = long long; using u32 = unsigned int; using u64 = unsigned long long; using i128 = __int128; using u128 = unsigned __int128; using f128 = __float128; template constexpr T infty = 0; template <> constexpr int infty = 1'000'001'000; template <> constexpr ll infty = ll(infty) * infty * 2; template <> constexpr u32 infty = infty; template <> constexpr u64 infty = infty; template <> constexpr i128 infty = i128(infty) * infty; template <> constexpr double infty = infty; template <> constexpr long double infty = infty; #define inf infty using pi = pair; using vi = vector; using vvi = vector>; template using vc = vector; template using vvc = vector>; template using vvvc = vector>; template using vvvvc = vector>; template using vvvvvc = vector>; template using pq = priority_queue; template using pqg = priority_queue, greater>; #define vv(type, name, h, ...) \ vector> name(h, vector(__VA_ARGS__)) #define vvv(type, name, h, w, ...) \ vector>> name( \ h, vector>(w, vector(__VA_ARGS__))) #define vvvv(type, name, a, b, c, ...) \ vector>>> name( \ a, vector>>( \ b, vector>(c, vector(__VA_ARGS__)))) #define rep1(a) for (ll _ = 0; _ < (ll)(a); ++_) #define rep2(i, a) for (ll i = 0; i < (ll)(a); ++i) #define rep3(i, a, b) for (ll i = a; i < (ll)(b); ++i) #define rep4(i, a, b, c) for (ll i = a; i < (ll)(b); i += (c)) #define rrep1(a) for (ll i = (a)-1; i >= (ll)(0); --i) #define rrep2(i, a) for (ll i = (a)-1; i >= (ll)(0); --i) #define rrep3(i, a, b) for (ll i = (b)-1; i >= (ll)(a); --i) #define rrep4(i, a, b, c) for (ll i = (b)-1; i >= (ll)(a); i -= (c)) #define overload4(a, b, c, d, e, ...) e #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(...) overload4(__VA_ARGS__, rrep4, rrep3, rrep2, rrep1)(__VA_ARGS__) #define all(x) (x).begin(),(x).end() #define len(x) (ll)(x.size()) #define elif else if #define bit(x, i) (((x)>>(i))&1) #define eb emplace_back #define mp make_pair #define mt make_tuple #define fi first #define se second #define stoi stoll #define abs llabs #define MIN(v) *min_element(all(v)) #define MAX(v) *max_element(all(v)) #define LB(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define UB(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define UNIQUE(x) \ sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit() ll popcnt(ll x) { return __builtin_popcountll(x); } ll popcnt(u64 x) { return __builtin_popcountll(x); } ll popcnt_mod_2(ll x) { return __builtin_parityll(x); } ll popcnt_mod_2(u64 x) { return __builtin_parityll(x); } ll topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } ll topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } ll lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } ll lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } template T floor(T a, T b) { return a / b - (a % b && (a ^ b) < 0); } template T ceil(T x, T y) { return floor(x + y - 1, y); } template T bmod(T x, T y) { return x - y * floor(x, y); } template pair divmod(T x, T y) { T q = floor(x, y); return {q, x - q * y}; } template T SUM(const vector &A) { T s = 0; for (auto &&a: A) s += a; return s; } template T POP(queue &que) { T a = que.front(); que.pop(); return a; } template T POP(deque &que) { T a = que.front(); que.pop_front(); return a; } template T POP(pq &que) { T a = que.top(); que.pop(); return a; } template T POP(pqg &que) { T a = que.top(); que.pop(); return a; } template T POP(vc &que) { T a = que.back(); que.pop_back(); return a; } template ll binary_search(F check, ll ok, ll ng, bool check_ok = true) { if (check_ok) assert(check(ok)); while (abs(ok - ng) > 1) { auto x = (ng + ok) / 2; (check(x) ? ok : ng) = x; } return ok; } template f128 binary_search_real(F check, f128 ok, f128 ng, ll iter = 100) { rep(iter) { f128 x = (ok + ng) / 2; (check(x) ? ok : ng) = x; } return (ok + ng) / 2; } // ? は -1 vc s_to_vi(const string &S, char first_char) { vc A(S.size()); rep(i, S.size()) { A[i] = (S[i] != '?' ? S[i] - first_char : -1); } return A; } template vc cumsum(vc &A, ll off = 1) { ll N = A.size(); vc B(N + 1); rep(i, N) { B[i + 1] = B[i] + A[i]; } if (off == 0) B.erase(B.begin()); return B; } // stable sort template vi argsort(const vector &A) { vi ids(len(A)); iota(all(ids), 0); sort(all(ids), [&](ll i, ll j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); }); return ids; } // A[I[0]], A[I[1]], ... template vc rearrange(const vc &A, const vi &I) { vc B(len(I)); rep(i, len(I)) B[i] = A[I[i]]; return B; } template inline bool chmax(T &a, T b) {return ((a inline bool chmin(T &a, T b) {return ((a>b)?(a=b,true):(false));} inline void wt(const char c) { cout << c; } inline void wt(const string s) { cout << s; } inline void wt(const char *s) { cout << s; } template void wt_integer(T x) { cout << (x); } template void wt_real(T x) { cout << fixed << setprecision(15) << (long double)(x); } template void wt_integer128(T x) { char buf[64]; char *d = end(buf); d--; *d = '\0'; __uint128_t tmp = ((x < 0)? -x : x); do { d--; *d = char(tmp%10 + '0'); tmp /= 10; } while (tmp); if (x < 0) { d--; *d = '-'; } cout << d; } inline void wt(int x) { wt_integer(x); } inline void wt(ll x) { wt_integer(x); } inline void wt(i128 x) { wt_integer128(x); } inline void wt(u32 x) { wt_integer(x); } inline void wt(u64 x) { wt_integer(x); } inline void wt(u128 x) { wt_integer128(x); } inline void wt(double x) { wt_real(x); } inline void wt(long double x) { wt_real(x); } inline void wt(f128 x) { wt_real(x); } template void wt(const pair val) { wt(val.first); wt(' '); wt(val.second); } template void wt_tuple(const T t) { if constexpr (N < std::tuple_size::value) { if constexpr (N > 0) { wt(' '); } const auto x = std::get(t); wt(x); wt_tuple(t); } } template void wt(tuple tpl) { wt_tuple(tpl); } template void wt(const array val) { auto n = val.size(); for (size_t i = 0; i < n; i++) { if (i) wt(' '); wt(val[i]); } } template void wt(const vector val) { auto n = val.size(); for (size_t i = 0; i < n; i++) { if (i) wt(' '); wt(val[i]); } } void print() { wt('\n'); } template void print(Head &&head, Tail &&... tail) { wt(head); if (sizeof...(Tail)) wt(' '); print(forward(tail)...); } void YES(bool t = 1) { print(t ? "YES" : "NO"); } void NO(bool t = 1) { YES(!t); } void Yes(bool t = 1) { print(t ? "Yes" : "No"); } void No(bool t = 1) { Yes(!t); } void yes(bool t = 1) { print(t ? "yes" : "no"); } void no(bool t = 1) { yes(!t); } void onez(bool t = 1) { print(t ? 1 : 0); } #define endl '\n' #define dump(x) {cerr << #x " = " << x << '\n';} #line 2 "/opt/library/mod/mongomery_modint.hpp" // odd mod. // x の代わりに rx を持つ template struct Mongomery_modint { using mint = Mongomery_modint; inline static U1 m, r, n2; static constexpr ll W = numeric_limits::digits; static void set_mod(U1 mod) { assert(mod & 1 && mod <= U1(1) << (W - 2)); m = mod, n2 = -U2(m) % m, r = m; rep(5) r *= 2 - m * r; r = -r; assert(r * m == U1(-1)); } static U1 reduce(U2 b) { return (b + U2(U1(b) * r) * m) >> W; } U1 x; Mongomery_modint() : x(0) {} Mongomery_modint(U1 x) : x(reduce(U2(x) * n2)){}; U1 val() const { U1 y = reduce(x); return y >= m ? y - m : y; } mint &operator+=(mint y) { x = ((x += y.x) >= m ? x - m : x); return *this; } mint &operator-=(mint y) { x -= (x >= y.x ? y.x : y.x - m); return *this; } mint &operator*=(mint y) { x = reduce(U2(x) * y.x); return *this; } mint operator+(mint y) const { return mint(*this) += y; } mint operator-(mint y) const { return mint(*this) -= y; } mint operator*(mint y) const { return mint(*this) *= y; } bool operator==(mint y) const { return (x >= m ? x - m : x) == (y.x >= m ? y.x - m : y.x); } bool operator!=(mint y) const { return not operator==(y); } mint pow(ll n) const { assert(n >= 0); mint y = 1, z = *this; for (; n; n >>= 1, z *= z) if (n & 1) y *= z; return y; } }; template using Mongomery_modint_32 = Mongomery_modint; template using Mongomery_modint_64 = Mongomery_modint; #line 3 "main.cpp" int solve(); int main() { cin.tie(nullptr); ios_base::sync_with_stdio(false); ll T = 1; while (!solve()) if (--T == 0) break; return 0; } int solve() { ll a, n; cin >> a >> n; Mongomery_modint_64<61> ans; const ll M = 998244353; ans.set_mod(M); ans = a; print(M); print(ans.pow(n).val()); return 0; }