#include <bits/stdc++.h>
#define IOS() ios::sync_with_stdio(false),cin.tie(0),cout.tie(0)
#define int long long
#define fir first
#define se second
#define pb(x) push_back(x)
#define pii pair<int,int>
#define all(a) (a).begin(),(a).end()
#define mp(a,b) make_pair(a,b)
using namespace std;
int lowbit(int x){
	return x&-x;
}
#define getchar() p1==p2&&(p2=(p1=buf)+fread(buf,1,1000000,stdin),p1==p2)?EOF:*p1++
char buf[1000000], *p1=buf,*p2=buf;
template <typename T>
void read(T &x){
	x=0;int f=1;char c=getchar();
	for(;c<'0'||c>'9';c=getchar())
	if(c=='-')f=-f;
	for(;c>='0'&&c<='9';c=getchar())
	x=x*10+c-'0';x*=f;
}
template <typename T, typename... Args>
void read(T &x, Args &...y){
	read(x);
	read(y...);
}
bool cmp(int x,int y){
	return x>y;
}
const int mod=998244353;
int fac[2000005],inv[2000005];
int qpow(int a,int b){
	int res=1;
	while(b){
		if(b&1)
			res=res*a%mod;
		a=a*a%mod;
		b>>=1;
	}
	return res;
}
int C(int a,int b){
	if(b>a)
		return 0;
	return fac[a]*inv[b]%mod*inv[a-b]%mod;
}
signed main(){
	//freopen("文件名.in","r",stdin);
	//freopen("文件名.out","w",stdout);
	IOS();
	int t=1;
//	cin>>t;
	fac[0]=1;
	for(int i=1;i<=2e6+3;i++)
		fac[i]=(fac[i-1]*i)%mod;
	inv[2000000]=qpow(fac[2000000],mod-2);
	for(int i=2000000;i>=1;i--)
		inv[i-1]=(inv[i]*i)%mod;
	while(t--){
		int a,b,t;
		cin>>a>>b>>t;
		if(t&1){
			cout<<"0\n";
			continue;
		}
		t/=2;
		int mn=min(a,b),ans=0;
		for(int i=0;i<=mn;i++)
			(ans+=C(b,i)*C(t,b-i)%mod*C(t+b-i,a-i))%=mod;
		for(int i=1;i<=2*t;i+=2)
			(ans*=i)%=mod;
		cout<<ans<<"\n";
	}
	return 0;
}