import sys
input = lambda : sys.stdin.readline().rstrip()
sys.setrecursionlimit(max(1000, 10**9))
write = lambda x: sys.stdout.write(x+"\n")


n,m,x = list(map(int, input().split()))
a = list(map(int, input().split()))
b = list(map(int, input().split()))
M = 10**9+7
def sub(a,b):
    xa = 0
    xb = 0
    for num in a:
        xa ^= num
    for num in b:
        xb ^= num
    if xa!=xb:
        return 0
    else:
        return pow(2,len(a)*len(b)-(len(a)+len(b))+1,M)
ans = 1
for i in range(x):
    res = sub([(item>>i)&1 for item in a], [(item>>i)&1 for item in b])
    if res == 0:
        ans = 0
        break
    else:
        ans *= res
        ans %= M
print(ans)