#define MOD_TYPE 1 #pragma region Macros #include using namespace std; #if 0 #include #include using Int = boost::multiprecision::cpp_int; using lld = boost::multiprecision::cpp_dec_float_100; #endif #if 1 #pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #endif using ll = long long int; using ld = long double; using pii = pair; using pll = pair; using pld = pair; template using smaller_queue = priority_queue, greater>; constexpr ll MOD = (MOD_TYPE == 1 ? (ll)(1e9 + 7) : 998244353); constexpr int INF = (int)1e9 + 10; constexpr ll LINF = (ll)4e18; constexpr ld PI = acos(-1.0); constexpr ld EPS = 1e-7; constexpr int Dx[] = {0, 0, -1, 1, -1, 1, -1, 1, 0}; constexpr int Dy[] = {1, -1, 0, 0, -1, -1, 1, 1, 0}; #define REP(i, m, n) for (ll i = m; i < (ll)(n); ++i) #define rep(i, n) REP(i, 0, n) #define REPI(i, m, n) for (int i = m; i < (int)(n); ++i) #define repi(i, n) REPI(i, 0, n) #define MP make_pair #define MT make_tuple #define YES(n) cout << ((n) ? "YES" : "NO") << "\n" #define Yes(n) cout << ((n) ? "Yes" : "No") << "\n" #define possible(n) cout << ((n) ? "possible" : "impossible") << "\n" #define Possible(n) cout << ((n) ? "Possible" : "Impossible") << "\n" #define all(v) v.begin(), v.end() #define NP(v) next_permutation(all(v)) #define dbg(x) cerr << #x << ":" << x << "\n"; struct io_init { io_init() { cin.tie(0); ios::sync_with_stdio(false); cout << setprecision(30) << setiosflags(ios::fixed); }; } io_init; template inline bool chmin(T &a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T &a, T b) { if (a < b) { a = b; return true; } return false; } inline ll CEIL(ll a, ll b) { return (a + b - 1) / b; } template inline void Fill(A (&array)[N], const T &val) { fill((T *)array, (T *)(array + N), val); } template constexpr istream &operator>>(istream &is, pair &p) noexcept { is >> p.first >> p.second; return is; } template constexpr ostream &operator<<(ostream &os, pair &p) noexcept { os << p.first << " " << p.second; return os; } #pragma endregion // -------------------------------------- #pragma region mint template struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % MOD) { if (val < 0) v += MOD; } constexpr int getmod() { return MOD; } constexpr Fp operator-() const noexcept { return val ? MOD - val : 0; } constexpr Fp operator+(const Fp &r) const noexcept { return Fp(*this) += r; } constexpr Fp operator-(const Fp &r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator*(const Fp &r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator/(const Fp &r) const noexcept { return Fp(*this) /= r; } constexpr Fp &operator+=(const Fp &r) noexcept { val += r.val; if (val >= MOD) val -= MOD; return *this; } constexpr Fp &operator-=(const Fp &r) noexcept { val -= r.val; if (val < 0) val += MOD; return *this; } constexpr Fp &operator*=(const Fp &r) noexcept { val = val * r.val % MOD; if (val < 0) val += MOD; return *this; } constexpr Fp &operator/=(const Fp &r) noexcept { long long a = r.val, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } constexpr bool operator==(const Fp &r) const noexcept { return this->val == r.val; } constexpr bool operator!=(const Fp &r) const noexcept { return this->val != r.val; } friend constexpr ostream &operator<<(ostream &os, const Fp &x) noexcept { return os << x.val; } friend constexpr istream &operator>>(istream &is, Fp &x) noexcept { return is >> x.val; } }; Fp modpow(const Fp &a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } using mint = Fp; template struct BiCoef { vector fact_, inv_, finv_; constexpr BiCoef() { } constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) { init(n); } constexpr void init(int n) noexcept { fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1); int MOD = fact_[0].getmod(); for (int i = 2; i < n; i++) { fact_[i] = fact_[i - 1] * i; inv_[i] = -inv_[MOD % i] * (MOD / i); finv_[i] = finv_[i - 1] * inv_[i]; } } constexpr T C(ll n, ll k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[k] * finv_[n - k]; } constexpr T P(ll n, ll k) const noexcept { return C(n, k) * fact_[k]; } constexpr T H(ll n, ll k) const noexcept { return C(n + k - 1, k); } constexpr T Ch1(ll n, ll k) const noexcept { if (n < 0 || k < 0) return 0; T res = 0; for (int i = 0; i < n; i++) res += C(n, i) * modpow(n - i, k) * (i & 1 ? -1 : 1); return res; } constexpr T fact(ll n) const noexcept { if (n < 0) return 0; return fact_[n]; } constexpr T inv(ll n) const noexcept { if (n < 0) return 0; return inv_[n]; } constexpr T finv(ll n) const noexcept { if (n < 0) return 0; return finv_[n]; } }; BiCoef bc(200010); #pragma endregion using Matrix = vector>; ostream &operator<<(ostream &os, Matrix &A) noexcept { rep(i, A.size()) { rep(j, A[0].size()) { cout << A[i][j] << (j + 1 == A[0].size() ? "\n" : " "); } } return os; } Matrix E(int n) { Matrix res(n, vector(n)); rep(i, n) rep(j, n) { if (i == j) res[i][j] = 1; else res[i][j] = 0; } return res; } Matrix matprod(Matrix A, Matrix B) { assert(A[0].size() == B.size()); int l = A.size(), m = A[0].size(), n = B[0].size(); Matrix C(l, vector(n, 0)); rep(i, l) rep(j, n) { rep(k, m) C[i][j] += A[i][k] * B[k][j]; } return C; } Matrix matpow(Matrix A, ll n) { assert(n >= 0); Matrix res = E(A.size()), P = A; while (n > 0) { if (n & 1) res = matprod(res, P); P = matprod(P, P); n >>= 1; } return res; } void solve() { int n, k, l; cin >> n >> k >> l; Matrix A(n, vector(n, 0)); rep(i, n) { for (int x = 1; x <= l; x++) { A[i][(i + x) % n] = 1; } } A = matpow(A, k); Matrix b(n, vector(1, 0)); b[0][0] = 1; b = matprod(A, b); rep(i, n) { cout << b[i][0] << "\n"; } } int main() { solve(); }