using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NList => ReadLine().Split().Select(int.Parse).ToArray();
    static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var n = NN;
        var mod = 998_244_353;
        var r2 = 499122177;
        var r3 = 332748118;
        var r5 = 598946612;
        var dp = Enumerable.Repeat((long)r5, 5).ToArray();
        var ans = r5 * 3L % mod;
        for (var i = 1; i < n; ++i)
        {
            var ndp = new long[5];
            ndp[0] = (dp[0] * r2 % mod + dp[1] * r3 % mod) % mod;
            ndp[1] = (dp[0] * r2 % mod + dp[1] * r3 % mod + dp[2] * r3 % mod) % mod;
            ndp[2] = (dp[1] + dp[2] + dp[3]) * r3 % mod;
            ndp[3] = (dp[2] * r3 % mod + dp[3] * r3 % mod + dp[4] * r2 % mod) % mod;
            ndp[4] = (dp[3] * r3 % mod + dp[4] * r2 % mod) % mod;
            ans = (ans + ndp[1] + ndp[2] + ndp[3]) % mod;
            dp = ndp;
        }
        WriteLine(ans);
    }
}