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

using mint = modint998244353;

template<typename T>
struct Binom{
    Binom(int lim = 300000){ extend(lim); }
    static T fact(int x) {
        if (x < 0) return T(0);
        extend(x);
        return kaijo[x];
    }
    static T ifact(int x){
        if (x < 0) return T(0);
        extend(x);
        return kainv[x];
    }
    static T C(int n, int r){
        if (n < 0 || n < r || r < 0) return T(0);
        extend(n);
        return kaijo[n] * kainv[r] * kainv[n-r];
    }
    T operator()(int n, int r){ return C(n,r); }
    template<class... Cnts> static T M(const Cnts&... cnts){
        return multinomial(0,T(1),cnts...);
    }
  private:
    static std::vector<T> kaijo, kainv;
    static void extend(int lim){
        int siz = kaijo.size();
        if (siz > lim) return ;
        int nsiz = siz * 2;
        kaijo.resize(nsiz+1), kainv.resize(nsiz+1);
        for (int i = siz; i <= nsiz; i++) kaijo[i] = kaijo[i-1] * T(i);
        kainv[nsiz] = kaijo[nsiz].inv();
        for (int i = nsiz-1; i >= siz; i--) kainv[i] = kainv[i+1] * T(i+1);
        extend(lim);
    }
};
template<typename T>
std::vector<T>Binom<T>::kaijo = vector<T>(2,T(1));
template<typename T>
std::vector<T>Binom<T>::kainv = vector<T>(2,T(1));

int main(){
    int h, w, k; cin >> h >> w >> k;
    if (h > w) swap(h,w);
    Binom<mint> bnm;
    mint facthw = 1;
    for (int i = -h+1; i <= k; i++) facthw *= h*w+i;
    facthw = facthw.inv();
    mint ans = 0;
    for (int c = h; c >= 0; c--){
        ans += bnm(h,c) * bnm(w,c) * bnm.fact(c+k-1) * facthw;
        facthw *= (h*w-c+1);
    }
    ans *= k;
    cout << ans.val() << endl;
}