#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using mint = atcoder::modint998244353;

int main(){
    int n;
    cin >> n;
    vector<pair<int,int>> dir = {{1, 1}, {0, 1}, {-1, 1}, {1, 0}, {-1, 0}};
    auto check = [&](int i, int j){
        auto [dx1, dy1] = dir[i];
        auto [dx2, dy2] = dir[j];
        dx1 *= -1, dy1 *= -1;
        return dx1 * dx2 + dy1 * dy2 < 0;
    };
    array<int, 5> A{};
    array<mint, 5> B;
    for(int i = 0; i < 5; i++){
        for(int j = 0; j < 5; j++){
            A[i] |= check(i, j) << j;
        }
        B[i] = mint(1) / __builtin_popcount(A[i]);
    }
    mint ans;
    array<mint, 5> dp, ndp;
    dp.fill(mint(1) / 5);
    ans += 3 * dp[0];
    for(int i = 1; i < n; i++){
        ndp.fill(0);
        for(int j = 0; j < 5; j++){
            for(int k = 0; k < 5; k++){
                if(A[j] >> k & 1) ndp[k] += B[j] * dp[j];
            }
        }
        swap(dp, ndp);
        ans += dp[0] + dp[1] + dp[2];
    }
    cout << ans.val() << '\n';
}