#include using namespace std; #define CPP_STR(x) CPP_STR_I(x) #define CPP_CAT(x, y) CPP_CAT_I(x, y) #define CPP_STR_I(args...) #args #define CPP_CAT_I(x, y) x##y #define ASSERT(expr...) assert((expr)) using i8 = int8_t; using u8 = uint8_t; using i16 = int16_t; using u16 = uint16_t; using i32 = int32_t; using u32 = uint32_t; using i64 = int64_t; using u64 = uint64_t; using f32 = float; using f64 = double; // }}} constexpr i64 INF = 1'010'000'000'000'000'017LL; constexpr i64 MOD = 998244353LL; constexpr f64 EPS = 1e-12; constexpr f64 PI = 3.14159265358979323846; #define M5 100007 #define M9 1000000000 #define F first #define S second // util {{{ #define FOR(i, start, end) for (i64 i = (start), CPP_CAT(i, xxxx_end) = (end); i < CPP_CAT(i, xxxx_end); ++i) #define REP(i, n) FOR(i, 0, n) #define all(x) (x).begin(), (x).end() #define ll long long int #define VI vector #define VVI vector #define ISD true #define debug(x) \ if (ISD) \ cout << #x << ": " << x << endl template > bool chmax(T &xmax, const U &x, Comp comp = {}) { if (comp(xmax, x)) { xmax = x; return true; } return false; } template > bool chmin(T &xmin, const U &x, Comp comp = {}) { if (comp(x, xmin)) { xmin = x; return true; } return false; } #define mat vector> /// 行列積 mat mat_mul(mat &a, mat &b) { mat res(a.size(), vector(b[0].size())); for (int i = 0; i < a.size(); i++) { for (int j = 0; j < b[0].size(); j++) { for (int k = 0; k < b.size(); k++) { (res[i][j] += a[i][k] * b[k][j]) %= MOD; } } } return res; } /// 行列累乗 mat mat_pow(mat a, long long n) { mat res(a.size(), vector(a.size())); // 単位行列で初期化 for (int i = 0; i < a.size(); i++) res[i][i] = 1; // 繰り返し二乗法 while (n > 0) { if (n & 1) res = mat_mul(a, res); a = mat_mul(a, a); n >>= 1; } return res; } int main() { ll N, M, K; cin >> N >> M >> K; mat V(M, vector(M)); REP(i, M) { REP(j, M) { if (abs(M / (i + 1) - M / (j + 1)) <= K) { V[i][j] = 1; } else { V[i][j] = 0; } } } mat x = mat_pow(V, N - 1); ll ans = 0; REP(i, M) { REP(j, M) { ans += x[i][j]; ans %= MOD; } } cout << ans << endl; }