#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 h = 0;
  int w = 0;
  int k = 0;
  
  int res = 0;
  
  long long ans = 0LL;
  long long mod_num = 998244353;
  
  long long hw = 0LL;
  long long div = 1LL;
  
  long long fact[60001] = {};
  long long invf[60001] = {};
  
  res = scanf("%d", &h);
  res = scanf("%d", &w);
  res = scanf("%d", &k);
  
  if (h > w) {
    int swap = h;
    h = w;
    w = swap;
  }
  
  hw = ((long long)h)*((long long)w);
  for (int i = 0; i < k; i++) {
    div *= hw+((long long)(k-i));
    div %= mod_num;
  }
  
  fact[0] = 1LL;
  for (int i = 0; i < w+k; i++) {
    fact[i+1] = fact[i];
    fact[i+1] *= (long long) (i+1);
    fact[i+1] %= mod_num;
  }
  
  invf[w+k] = power_mod(fact[w+k], mod_num-2LL, mod_num);
  for (int i = w+k; i > 0; i--) {
    invf[i-1] = invf[i];
    invf[i-1] *= (long long)i;
    invf[i-1] %= mod_num;
  }
  
  div = (div*hw)%mod_num;
  for (int i = 1; i <= h; i++) {
    long long tmp = hw-((long long)i);
    tmp *= fact[h];
    tmp %= mod_num;
    tmp *= invf[i];
    tmp %= mod_num;
    tmp *= invf[h-i];
    tmp %= mod_num;
    tmp *= fact[w];
    tmp %= mod_num;
    tmp *= invf[i];
    tmp %= mod_num;
    tmp *= invf[w-i];
    tmp %= mod_num;
    tmp *= fact[i];
    tmp %= mod_num;
    if (i < h) {
      long long sub = fact[h];
      sub *= invf[i+1];
      sub %= mod_num;
      sub *= invf[h-i-1];
      sub %= mod_num;
      sub *= fact[w];
      sub %= mod_num;
      sub *= invf[i+1];
      sub %= mod_num;
      sub *= invf[w-i-1];
      sub %= mod_num;
      sub *= fact[i+1];
      tmp += mod_num-sub%mod_num;
      tmp %= mod_num;
    }
    tmp *= fact[i+k];
    tmp %= mod_num;
    tmp *= invf[i];
    tmp %= mod_num;
    div *= hw-((long long)i);
    div %= mod_num;
    ans += (tmp*power_mod(div, mod_num-2LL, mod_num))%mod_num;
  }
  
  printf("%lld\n", ans%mod_num);
  return 0;
}