#include #include #include #include using namespace std; int main() { // step #1. preparation const int MOD = 998244353; auto matmul = [&](int n, vector > a, vector > b) { vector > c(n, vector(n)); for (int i = 0; i < n; i++) { for (int j = 0; j < n; j++) { for (int k = 0; k < n; k++) { c[i][j] = (c[i][j] + 1LL * a[i][k] * b[k][j]) % MOD; } } } return c; }; auto matpow = [&](int n, vector > a, int k) { vector > c(n, vector(n)); for (int i = 0; i < n; i++) { c[i][i] = 1; } while (k != 0) { if (k % 2 == 1) { c = matmul(n, c, a); } a = matmul(n, a, a); k /= 2; } return c; }; // step #2. input int N, M, K; cin >> N >> M >> K; // step #3. calculation map d; for (int i = 1; i <= M; i++) { d[M / i]++; } int Z = d.size(); vector v, c; for (pair i : d) { v.push_back(i.first); c.push_back(i.second); } vector > mat(Z, vector(Z)); for (int i = 0; i < Z; i++) { for (int j = 0; j < Z; j++) { if (abs(v[i] - v[j]) <= K) { mat[i][j] = c[j]; } } } vector > res = matpow(Z, mat, N - 1); int ans = 0; for (int i = 0; i < Z; i++) { for (int j = 0; j < Z; j++) { ans = (ans + 1LL * c[i] * res[i][j]) % MOD; } } // step #4. output cout << ans << endl; return 0; }