MOD=10**9+7
N,M,X=map(int,input().split())
A=list(map(int,input().split()))
B=list(map(int,input().split()))
ans=1
for x in range(X):
    a=[(v>>x)%2 for v in A]
    b=[(v>>x)%2 for v in B]
    if sum(a)%2!=sum(b)%2:
        exit(print(0))
    ans=ans*pow(2,(N-1)*(M-1),MOD)%MOD
print(ans)