#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } vector> m_mul(vector> &a, vector> &b) { ll n = a.size(); vector> ret(n, vector(n, 0)); for (ll i = 0; i < n; i++) { for (ll j = 0; j < n; j++) { for (ll k = 0; k < n; k++) { ret[i][j] = (ret[i][j] + a[i][k] * b[k][j]) % mod2; } } } return ret; } vector> p_mul(vector> a, ll k) { ll n = a.size(); vector> ret(n, vector(n, 0)); for (ll i = 0; i < n; i++) { ret[i][i] = 1; } while (k > 0) { if (k % 2 == 1) { ret = m_mul(a, ret); } a = m_mul(a, a); k /= 2; } return ret; } int main() { ll N, M, K; cin >> N >> M >> K; map mp; for (ll i = 1; i <= M; i++) { mp[M / i]++; } ll now = 0; for (auto itr = mp.begin(); itr != mp.end(); itr++) { itr->second = now; now++; } vector> mat(now, vector(now, 0)); for (auto itr = mp.begin(); itr != mp.end(); itr++) { ll idx = itr->second; ll val = itr->first; for (ll j = 1; j <= M; j++) { if (abs(val - M / j) <= K) { mat[idx][mp[M / j]]++; } } } // debug(mat); vector first(now, 0); for (ll i = 1; i <= M; i++) { first[mp[M / i]]++; } // debug(first); vector> m_mat = p_mul(mat, N - 1); ll ans = 0; for (ll i = 0; i < now; i++) { for (ll j = 0; j < now; j++) { ans += m_mat[j][i] * first[j]; ans %= mod2; } } cout << ans << endl; }