#include "bits/stdc++.h" #include #include #include #include #include #pragma warning(push) #pragma warning(disable:26498 26450 26451 26812) #include "atcoder/all" #pragma warning(pop) //#include //using namespace boost::multiprecision; // std::fixed << std::setprecision(10) << using namespace std; using namespace atcoder; using ll = long long; using ull = unsigned long long; using mint = modint998244353; using mint2 = modint1000000007; const double eps = 1e-9; #define REP(i, n) for (ll i = 0; i < ll(n); ++i) #define REPI(i, init, n) for (ll i = init; i < ll(n); ++i) #define REPD(i, init) for (ll i = init; i >=0; --i) #define REPDI(i, init, n) for (ll i = init; i >=n; --i) #define REPE(i, c) for (const auto& i : c) using vl = vector; #define VL(a, n) vector a; a.assign(n, 0); #define VLI(a, n) vector a; a.assign(n, 0); for(auto& x : a) cin >> x; #define VSI(a, n) vector a; a.assign(n, ""); for(auto& x : a) cin >> x; using vvl = vector>; #define VVLI(a, n, m, init) vector> a(n); for(auto& x : a) x.assign(m, init); using pl = pair; struct uv { ll u; ll v; ll c; }; #define VUVI(a, n) vector a; a.assign(n, {0, 0, 1}); for(auto& x : a) {cin >> x.u >> x.v; x.u--; x.v--;} #define VUVCI(a, n) vector a; a.assign(n, {0, 0, 0}); for(auto& x : a) {cin >> x.u >> x.v >> x.c; x.u--; x.v--;} vvl to_edge(const ll n, const vector& v) { vvl ret(n); for (auto& x : v) ret[x.u].push_back(x.v); return ret; } vvl to_edge_d(const ll n, const vector& v) { vvl ret(n); for (auto& x : v) { ret[x.u].push_back(x.v); ret[x.v].push_back(x.u); } return ret; } template using pql = priority_queue; template using pqg = priority_queue, greater>; const char* YES = "Yes"; const char* NO = "No"; void yn(bool f) { std::cout << (f ? YES : NO) << endl; }; template void ov(const T& v) { for (auto it = v.begin(); it != v.end(); it++) { if (it != v.begin()) cout << " "; cout << *it; } }; const ll llhuge = 1LL << 60; //十分でかいが多少足しても溢れない数値 template bool chmin(T& a, const U& b) { a = min(a, b); return b == a; } template bool chmax(T& a, const U& b) { a = max(a, b); return b == a; } template void mysort(T& v) { std::sort(begin(v), end(v)); }; template void mysort(T& v, U pr) { std::sort(begin(v), end(v), pr); }; template void myrev(T& v) { std::reverse(begin(v), end(v)); }; using vm = vector; using vvm = vector; using _mint = atcoder::modint998244353; _mint fac[3000001], finv[3000001], inv[3000001]; void setup() { const int MOD = _mint::mod(); fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i <= 3000000; i++) { fac[i] = fac[i - 1] * i; inv[i] = (_mint)MOD - inv[MOD % i] * (MOD / i); finv[i] = finv[i - 1] * inv[i]; } } _mint binom(int n, int r) { if (n < r or n < 0 or r < 0) return _mint::raw(0); return fac[n] * finv[r] * finv[n - r]; } int main() { cin.tie(nullptr); ios::sync_with_stdio(false); ll n, p; cin >> n >> p; setup(); mint all = 1; //全組み合わせ REP(i, n) { all *= (i + 1); } mint ngp = 1; //(p-1)! REP(i, p-1) { ngp *= (i + 1); } mint ng = 0; mint npg2 = 1; mint fiv = 1; REP(i, n / p + 1) { ng += binom(n, p*i) * fac[p*i] * fiv * finv[i] * npg2; npg2 *= ngp; fiv *= finv[p]; } //n個のものからp*i個を選ぶ binom(n, p*i); //p*i個をp個ずつi種類に分ける (p*i)! / (p!)^i = fac[p*i] * finv[p]^i //p個の並び替え = p! cout << (all - ng).val() << endl; }