mod=998244353 h,w,m=map(int,input().split()) if m<h+w-1: print(0) exit() def fact(x): ret=1 for i in range(1,x+1): ret=(ret*i)%mod return ret C=fact(h+w-2)*pow(fact(h-1)*fact(w-1),-1,mod) D=fact(h+w-1)*pow(fact(m)*fact(h-w-1-m),-1,mod) ans=C*D*pow(3,h*w-(h+w-1),mod)%998244353 print(ans)