#include using namespace std; //* ATCODER #include using namespace atcoder; typedef modint998244353 mint; //*/ /* BOOST MULTIPRECISION #include using namespace boost::multiprecision; //*/ typedef long long ll; #define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++) #define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--) template bool chmin(T &a, const T &b) { if (a <= b) return false; a = b; return true; } template bool chmax(T &a, const T &b) { if (a >= b) return false; a = b; return true; } template T max(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]); return ret; } template T min(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]); return ret; } template T sum(vector &a){ T ret = 0; for (int i=0; i<(int)a.size(); i++) ret += a[i]; return ret; } int main(){ int n; cin >> n; // 確率, 現在の期待値 vector dp1(n+1, vector(5)); vector dp2(n+1, vector(5)); vector inv(10); rep(i,1,10){ inv[i] = mint(i).inv(); } dp1[1][0] = inv[5]; dp1[1][1] = inv[5]; dp1[1][2] = inv[5]; dp1[1][3] = inv[5]; dp1[1][4] = inv[5]; dp2[1][1] = inv[5]; dp2[1][2] = inv[5]; dp2[1][3] = inv[5]; rep(i,1,n){ rep(j,0,5){ int v = 0; rep(k,0,5){ if (abs(j-k) <= 1){ v += 1; } } rep(k,0,5){ if (abs(j-k) <= 1){ if (1<=k && k<=3){ dp2[i+1][k] += dp1[i][j] * inv[v]; } dp2[i+1][k] += dp2[i][j] * inv[v]; dp1[i+1][k] += dp1[i][j] * inv[v]; } } } } cout << sum(dp2[n]).val() << '\n'; }