#include using namespace std; #define rep(i, n) for(int i = 0; i < n; i++) #define rep2(i, x, n) for(int i = x; i <= n; i++) #define rep3(i, x, n) for(int i = x; i >= n; i--) #define each(e, v) for(auto &e: v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; //const int MOD = 1000000007; const int MOD = 998244353; const int inf = (1<<30)-1; const ll INF = (1LL<<60)-1; template bool chmax(T &x, const T &y) {return (x < y)? (x = y, true) : false;}; template bool chmin(T &x, const T &y) {return (x > y)? (x = y, true) : false;}; struct io_setup{ io_setup(){ ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; template struct Mod_Int{ int x; Mod_Int() : x(0) {} Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} Mod_Int &operator += (const Mod_Int &p){ if((x += p.x) >= mod) x -= mod; return *this; } Mod_Int &operator -= (const Mod_Int &p){ if((x += mod - p.x) >= mod) x -= mod; return *this; } Mod_Int &operator *= (const Mod_Int &p){ x = (int) (1LL * x * p.x % mod); return *this; } Mod_Int &operator /= (const Mod_Int &p){ *this *= p.inverse(); return *this; } Mod_Int &operator ++ () {return *this += Mod_Int(1);} Mod_Int operator ++ (int){ Mod_Int tmp = *this; ++*this; return tmp; } Mod_Int &operator -- () {return *this -= Mod_Int(1);} Mod_Int operator -- (int){ Mod_Int tmp = *this; --*this; return tmp; } Mod_Int operator - () const {return Mod_Int(-x);} Mod_Int operator + (const Mod_Int &p) const {return Mod_Int(*this) += p;} Mod_Int operator - (const Mod_Int &p) const {return Mod_Int(*this) -= p;} Mod_Int operator * (const Mod_Int &p) const {return Mod_Int(*this) *= p;} Mod_Int operator / (const Mod_Int &p) const {return Mod_Int(*this) /= p;} bool operator == (const Mod_Int &p) const {return x == p.x;} bool operator != (const Mod_Int &p) const {return x != p.x;} Mod_Int inverse() const{ assert(*this != Mod_Int(0)); return pow(mod-2); } Mod_Int pow(long long k) const{ Mod_Int now = *this, ret = 1; for(; k > 0; k >>= 1, now *= now){ if(k&1) ret *= now; } return ret; } friend ostream &operator << (ostream &os, const Mod_Int &p){ return os << p.x; } friend istream &operator >> (istream &is, Mod_Int &p){ long long a; is >> a; p = Mod_Int(a); return is; } }; using mint = Mod_Int; int main(){ int N, K; cin >> N >> K; vector> dp1(K+1, vector(K+1, 0)), dp2(K+1, vector(K+1, 0)); dp1[0][0] = 1; rep(i, N){ vector> tmp1(K+1, vector(K+1, 0)), tmp2(K+1, vector(K+1, 0)); if(i == 0){ rep(j, K){ tmp1[K][j]++, tmp2[K][j] += j; } } else if(i == 1){ rep(j, K){ rep(k, K){ if(j == k) continue; tmp1[j][k] += dp1[K][j]; tmp2[j][k] += dp2[K][j]+tmp1[j][k]*k; } } } else{ vector u1(K, 0), u2(K, 0), d1(K, 0), d2(K, 0); rep(j, K){ rep(k, K){ if(j > k){ u1[k] += dp1[j][k], u2[k] += dp2[j][k]; } if(j < k){ d1[k] += dp1[j][k], d2[k] += dp2[j][k]; } } } rep(j, K){ rep(k, K){ if(j < k){ tmp1[j][k] += u1[j]-dp1[k][j]; tmp2[j][k] += u2[j]-dp2[k][j]; } if(j > k){ tmp1[j][k] += d1[j]-dp1[k][j]; tmp2[j][k] += d2[j]-dp2[k][j]; } tmp2[j][k] += tmp1[j][k]*k; } } } swap(dp1, tmp1), swap(dp2, tmp2); } mint a1 = 0, a2 = 0; rep(i, K+1){ rep(j, K+1){ a1 += dp1[i][j], a2 += dp2[i][j]; } } cout << a1 << ' ' << a2 << '\n'; }