import sys
input = sys.stdin.readline

H,W,K=map(int,input().split())

mod=998244353

FACT=[1]
for i in range(1,2*10**6+1):
    FACT.append(FACT[-1]*i%mod)

FACT_INV=[pow(FACT[-1],mod-2,mod)]
for i in range(2*10**6,0,-1):
    FACT_INV.append(FACT_INV[-1]*i%mod)

FACT_INV.reverse()

def Combi(a,b):
    if 0<=b<=a:
        return FACT[a]*FACT_INV[b]%mod*FACT_INV[a-b]%mod
    else:
        return 0

ANS=0

sc=H*W-K
for i in range(H+1):
    score=W*i

    rest=sc-score

    if rest>=0 and rest%(H-i)==0:
        k=rest//(H-i)

        ANS+=Combi(H,i)*Combi(W,k)

print(ANS%mod)