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

class Program
{
    static int NN => int.Parse(ReadLine());
    static int[] NMi => ReadLine().Split().Select(c => int.Parse(c) - 1).ToArray();
    static int[][] NMap(int n) => Enumerable.Repeat(0, n).Select(_ => NMi).ToArray();
    public static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var mod = 998_244_353;
        var n = NN;
        if (n == 2)
        {
            WriteLine(0);
            return;
        }
        var ans = (long)n * (n - 1) % mod;
        var mul = (Exp(n - 2, n - 1, mod) + (n - 2) * ((Exp(n - 1, n - 2, mod) - Exp(n - 2, n - 2, mod) + mod) % mod) % mod 
            + (Exp(n - 1, n - 2, mod) - Exp(n - 3, n - 2, mod) + mod) % mod) % mod;
        WriteLine(ans * mul % mod);
    }
    static long Exp(long n, long p, int mod)
    {
        long _n = n % mod;
        var _p = p;
        var result = 1L;
        if ((_p & 1) == 1) result *= _n;
        while (_p > 0)
        {
            _n = _n * _n % mod;
            _p >>= 1;
            if ((_p & 1) == 1) result = result * _n % mod;
        }
        return result;
    }
}