#include<bits/stdc++.h>
namespace {
#pragma GCC diagnostic ignored "-Wunused-function"
#include<atcoder/all>
#pragma GCC diagnostic warning "-Wunused-function"
using namespace std;
using namespace atcoder;
#define rep(i,n) for(int i = 0; i < (int)(n); i++)
#define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--)
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
template<class T> bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; }
template<class T> bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; }
using ll = long long;
using P = pair<int,int>;
using VI = vector<int>;
using VVI = vector<VI>;
using VL = vector<ll>;
using VVL = vector<VL>;
using mint = modint998244353;
const mint inv2 = mint(2).inv();
const mint inv3 = mint(3).inv();
const mint inv5 = mint(5).inv();

} int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n;
  cin >> n;
  mint dp[5];
  rep(i, 5) dp[i] = inv5;
  mint ans = 3 * inv5;
  for (int i = 1; i < n; i++) {
    mint ndp[5];
    ndp[0] = inv2 * dp[0] + inv3 * dp[1];
    ndp[1] = inv2 * dp[0] + inv3 * dp[1] + inv3 * dp[2];
    ndp[2] = inv3 * dp[1] + inv3 * dp[2] + inv3 * dp[3];
    ndp[3] = inv3 * dp[2] + inv3 * dp[3] + inv2 * dp[4];
    ndp[4] = inv3 * dp[3] + inv2 * dp[4];
    swap(dp, ndp);
    ans += dp[1] + dp[2] + dp[3];
  }
  cout << ans.val() << '\n';
}