#include #define fst(t) std::get<0>(t) #define snd(t) std::get<1>(t) using ll = std::int64_t; using P = std::tuple; std::tuple extgcd(ll a, ll b){ ll s1 = 1, t1 = 0, s2 = 0, t2 = 1; while(b != 0){ std::tie(s1, t1, s2, t2) = std::make_tuple(s2, t2, s1 - (a / b) * s2, t1 - (a / b) * t2); std::tie(a, b) = std::make_tuple(b, a % b); } return std::make_tuple(s1, t1, a); } ll inv(ll a, ll n){ ll inv_a; std::tie(inv_a, std::ignore, std::ignore) = extgcd(a, n); inv_a %= n; if(inv_a < 0){inv_a += n;} return inv_a; } int main(){ std::cin.tie(nullptr); std::ios::sync_with_stdio(false); int N; std::cin >> N; constexpr ll MOD = 998'244'353; std::vector dp(2, std::vector(5, 0)); auto trans = [](int j, int k){ if(j == k){ return true; } if(j == 0){ return k == 1; } if(j == 4){ return k == 3; } return std::abs(j - k) == 1; }; for(int i=0;i= MOD){dp[1][j] -= MOD;} } } } ll res = std::accumulate(std::begin(dp[1]), std::end(dp[1]), 0ll); res = res % MOD * inv(5, MOD) % MOD; std::cout << res << std::endl; }