#include <stdio.h>

long long power_mod (long long a, long long b, long long mod_num) {
  long long ans = 1LL;
  
  if (b > 0LL) {
    ans = power_mod(a, b/2LL, mod_num);
    ans = (ans * ans) % mod_num;
    if (b%2LL == 1LL) {
      ans = (ans * (a % mod_num)) % mod_num;
    }
  }
  
  return ans;
}

int main () {
  int n = 0;
  
  int res = 0;
  
  long long ans = 0LL;
  long long mod_num = 998244353LL;
  
  res = scanf("%d", &n);
  
  ans = (long long)n;
  ans *= (long long)(n-1);
  ans %= mod_num;
  ans *= power_mod((long long)(n-3), (long long)(n-2), mod_num);
  ans = mod_num-ans%mod_num;
  ans += ((long long)n)*power_mod((long long)(n-1), (long long)n, mod_num);
  printf("%lld\n", ans%mod_num);
  return 0;
}