#include #define REP_(i, a_, b_, a, b, ...) \ for (int i = (a), END_##i = (b); i < END_##i; ++i) #define REP(i, ...) REP_(i, __VA_ARGS__, __VA_ARGS__, 0, __VA_ARGS__) #define ALL(x) std::begin(x), std::end(x) using i64 = long long; #include using Mint = atcoder::modint998244353; std::ostream &operator<<(std::ostream &os, const Mint &m) { return os << m.val(); } template inline bool chmax(T &a, U b) { return a < b and ((a = std::move(b)), true); } template inline bool chmin(T &a, U b) { return a > b and ((a = std::move(b)), true); } template inline int ssize(const T &a) { return (int)std::size(a); } template std::istream &operator>>(std::istream &is, std::vector &a) { for (auto &x : a) is >> x; return is; } template std::ostream &operator<<(std::ostream &os, const std::pair &a) { return os << "(" << a.first << ", " << a.second << ")"; } template std::ostream &print_seq(const Container &a, std::string_view sep = " ", std::string_view ends = "\n", std::ostream &os = std::cout) { auto b = std::begin(a), e = std::end(a); for (auto it = std::begin(a); it != e; ++it) { if (it != b) os << sep; os << *it; } return os << ends; } template struct is_iterable : std::false_type {}; template struct is_iterable())), decltype(std::end(std::declval()))>> : std::true_type {}; template ::value && !std::is_same::value && !std::is_same::value>> std::ostream &operator<<(std::ostream &os, const T &a) { return print_seq(a, ", ", "", (os << "{")) << "}"; } #ifdef ENABLE_DEBUG #include "debug_dump.hpp" #else #define DUMP(...) #endif using namespace std; void solve() { int n, k; cin >> n >> k; auto dp1 = vector(n + 1, vector(k, vector(k, Mint(0)))); auto dp2 = vector(n + 1, vector(k, vector(k, Mint(0)))); REP(i, k) REP(j, k) { if (i == j) continue; dp1[2][i][j] = 1; dp2[2][i][j] = i + j; } REP(i, 2, n) { REP(q, k) { Mint acc = 0, accs = 0; for (int p = 0; p < q; ++p) { acc += dp1[i][p][q]; accs += dp2[i][p][q]; } for (int r = 0; r < q; ++r) { dp1[i + 1][q][r] += acc - dp1[i][r][q]; dp2[i + 1][q][r] += accs - dp2[i][r][q]; dp2[i + 1][q][r] += r * (acc - dp1[i][r][q]); } acc = accs = 0; for (int p = q + 1; p < k; ++p) { acc += dp1[i][p][q]; accs += dp2[i][p][q]; } for (int r = q + 1; r < k; ++r) { dp1[i + 1][q][r] += acc - dp1[i][r][q]; dp2[i + 1][q][r] += accs - dp2[i][r][q]; dp2[i + 1][q][r] += r * (acc - dp1[i][r][q]); } } } Mint ans1 = 0, ans2 = 0; REP(p, k) REP(q, k) { ans1 += dp1[n][p][q]; ans2 += dp2[n][p][q]; } cout << ans1 << " " << ans2 << endl; } int main() { ios_base::sync_with_stdio(false), cin.tie(nullptr); solve(); }