#include #include using namespace std; using namespace atcoder; #define rep(i, n) for(int i=0;i<(n);++i) #define rep1(i, n) for(int i=1;i<=(n);i++) #define ll long long using mint = modint998244353; using P = pair; using lb = long double; using T = tuple; #ifdef LOCAL # include # define dbg(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__) #else # define dbg(...) (static_cast(0)) #endif int main() { int n; cin >> n; vector dp(5); dp[0] = 1 * mint(5).inv(); dp[1] = 1 * mint(5).inv(); dp[2] = 1 * mint(5).inv(); dp[3] = 1 * mint(5).inv(); dp[4] = 1 * mint(5).inv(); mint ans = dp[1] + dp[2] + dp[3]; for(int i=1;i p(5); swap(dp, p); dp[1] += p[0]/2; dp[0] += p[0]/2; dp[0] += p[1]/3; dp[1] += p[1]/3; dp[2] += p[1]/3; dp[1] += p[2]/3; dp[2] += p[2]/3; dp[3] += p[2]/3; dp[2] += p[3]/3; dp[3] += p[3]/3; dp[4] += p[3]/3; dp[3] += p[4]/2; dp[4] += p[4]/2; ans += dp[1] + dp[2] + dp[3]; } cout << ans.val() << endl; return 0; }