#include #include #define rep(i,n) for(int i=0;i vi; typedef vector vl; typedef vector> vvi; typedef vector> vvl; typedef long double ld; typedef pair P; ostream& operator<<(ostream& os, const modint& a) {os << a.val(); return os;} template ostream& operator<<(ostream& os, const static_modint& a) {os << a.val(); return os;} template ostream& operator<<(ostream& os, const dynamic_modint& a) {os << a.val(); return os;} template istream& operator>>(istream& is, vector& v){int n = v.size(); assert(n > 0); rep(i, n) is >> v[i]; return is;} template ostream& operator<<(ostream& os, const pair& p){os << p.first << ' ' << p.second; return os;} template ostream& operator<<(ostream& os, const vector& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const vector>& v){int n = v.size(); rep(i, n) os << v[i] << (i == n - 1 ? "\n" : ""); return os;} template ostream& operator<<(ostream& os, const set& se){for(T x : se) os << x << " "; os << "\n"; return os;} template ostream& operator<<(ostream& os, const unordered_set& se){for(T x : se) os << x << " "; os << "\n"; return os;} template ostream& operator<<(ostream& os, const atcoder::segtree& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;} template ostream& operator<<(ostream& os, const atcoder::lazy_segtree& seg){int n = seg.max_right(0, [](S){return true;}); rep(i, n) os << seg.get(i) << (i == n - 1 ? "\n" : " "); return os;} template void chmin(T& a, T b){a = min(a, b);} template void chmax(T& a, T b){a = max(a, b);} using mint = modint998244353; // https://youtu.be/ylWYSurx10A?t=2352 template struct Matrix : vector> { int h, w; Matrix(int h, int w, T val=0): vector>(h, vector(w, val)), h(h), w(w) {} Matrix(initializer_list> a) : vector>(a.begin(), a.end()){ assert(int(this->size()) >= 1); assert(int((*this)[0].size()) >= 1); h = this->size(); w = (*this)[0].size(); rep(i, h) assert(int((*this)[i].size()) == w); } Matrix& unit() { assert(h == w); rep(i,h) (*this)[i][i] = 1; return *this; } Matrix operator*=(const Matrix& M){ assert(w == M.h); Matrix r(h, M.w); rep(i,h) rep(k,w) rep(j, M.w){ r[i][j] += (*this)[i][k] * M[k][j]; } swap(*this, r); return *this; } Matrix operator*(const Matrix& M) const {return (Matrix(*this) *= M);} Matrix operator*=(const T& a) { for(int i = 0; i < h; i++) for(int j = 0; j < w; j++) (*this)[i][j] *= a; return *this; } Matrix operator*(const T& a) const {return (Matrix(*this) *= a);} Matrix operator+=(const Matrix& M){ assert(h == M.h and w == M.w); for(int i = 0; i < h; i++) for(int j = 0; j < w; j++) (*this)[i][j] += M[i][j]; return *this; } Matrix operator+(const Matrix& M) const {return (Matrix(*this) += M);} Matrix pow(long long t) const { assert(h == w); if (!t) return Matrix(h,h).unit(); if (t == 1) return *this; Matrix r = pow(t>>1);r = r*r; if (t&1) r = r*(*this); return r; } }; int main(){ int n, m, k; cin >> n >> m >> k; map ma; for(int x = 1; x <= m; x++) ma[m / x]++; int sz = ma.size(); Matrix mat(sz, sz); map inv; { int idx = 0; for(auto [x, cnt] : ma){ inv[x] = idx; idx++; } } for(auto [x1, cnt1] : ma){ for(int x2 = x1 - k; x2 <= x1 + k; x2++){ if(inv.find(x2) != inv.end()) mat[inv[x2]][inv[x1]] += ma[x2]; } } vector vec; for(auto [x, cnt] : ma) vec.push_back(cnt); mint ans = 0; mat = mat.pow(n - 1); rep(i, sz) rep(j, sz){ ans += mat[i][j] * vec[j]; } cout << ans << "\n"; return 0; }