n, m = map(int,input().split())
mod = 998244353
A = list(map(int,input().split()))
B = list(map(int,input().split()))

def solve(bit):
    a = []
    b = []

    for i in range(n):
        a.append(1 if 1 & (A[i] >> bit) else 0)
    for i in range(m):
        b.append(1 if 1 & (B[i] >> bit) else 0)
    
    if sum(a) % 2 != sum(b) % 2:
        return 0
    else:
        time = pow(2, n + m - 1, mod)
        al = pow(2, n * m, mod)
        ans = (al * pow(time, mod - 2, mod)) % mod
        return ans
    
ans = 1
for i in range(20):
    ans *= solve(i)
    ans %= mod
print(ans)