#include <bits/stdc++.h>

#include <atcoder/modint>
using mint = atcoder::modint998244353;
static constexpr int N = 1000;
using poly = std::array<mint, N + 1>;
using coef = std::array<int, 4>;
using hp = std::map<coef, poly>;

coef add(coef c, int i) {
  c[i]++;
  return c;
}

coef proj(coef c, int i) {
  c[i] = 0;
  return c;
}

int main() {
  int K;
  std::cin >> K;

  std::array<mint, N + 1> fact, ifact;
  fact[0] = 1;
  for (int i = 1; i <= N; i++)
    fact[i] = fact[i - 1] * i;
  ifact[N] = 1 / fact[N];
  for (int i = N; i >= 1; i--)
    ifact[i - 1] = ifact[i] * i;

  std::map<coef, mint> pd;
  pd[{0, 0, 0, 0}] = 1;
  for (int i = 0; i < 4; i++) {
    for (int j = i + 1; j < 4; j++) {
      // x_i - x_j + (j-i)
      for (int k = 0; k < 2; k++) {
        std::map<coef, mint> nx;
        for (const auto& [c, v] : pd) {
          nx[add(c, i)] += v;
          nx[add(c, j)] -= v;
          nx[c] += v * (j - i);
        }
        pd = std::move(nx);
      }
    }
  }
  for (auto it = pd.begin(); it != pd.end();) {
    if (it->second == mint(0))
      it = pd.erase(it);
    else
      ++it;
  }

  poly ans;
  std::array<hp, 4> dp;
  for (int col = 0; col + 4 <= N; col++) {
    for (int i = 1; i < 4; i++) {
      int st = std::min(col * i, N + 1);
      int w = std::min(i, N + 1 - st);
      for (auto& [c, v] : dp[i]) {
        std::copy_backward(v.begin() + st, v.end() - w, v.end());
        std::fill(v.begin() + st, v.begin() + st + w, mint(0));
      }
    }
    std::array<mint, 7> pow;
    pow[0] = 1;
    for (int i = 1; i < 7; i++)
      pow[i] = pow[i - 1] * (col + 1);
    {
      int h = (col + 1) * 4;
      if (h < N + 1) {
        mint a = ifact[col + 1] * ifact[col + 1];
        std::array<mint, 7> pc;
        for (int j = 0; j < 7; j++)
          pc[j] = a * pow[j];
        for (const auto& [c, v] : pd) {
          dp[3][proj(c, 3)][h] += pc[c[3]] * v;
        }
      }
    }
    poly temp;
    for (int i = 2; i >= 0; i--) {
      int h = (col + 1) * (i + 1);
      if (h >= N + 1)
        continue;
      mint a = ifact[col + 4 - i] * ifact[col + 4 - i];
      std::array<mint, 7> pc;
      for (int j = 0; j < 7; j++)
        pc[j] = a * pow[j];
      for (const auto& [c, v] : dp[i + 1]) {
        auto& t = i ? dp[i][proj(c, i)] : temp;
        mint aa = pc[c[i]];
        for (int k = h; k < N + 1; k++)
          t[k] += aa * v[k];
      }
    }
    mint a = mint(col + 1).pow(K);
    for (int k = 0; k < N + 1; k++) {
      ans[k] += a * temp[k];
    }
  }

  std::cout << N << "\n";
  for (int i = 1; i <= N; i++) {
    std::cout << (ans[i] * fact[i] * fact[i]).val() << " \n"[i == N];
  }

  return 0;
}