def zeta_to_high(res,n):
    for i in range(n):
        i = 1<<i
        for j in range(1<<n):
            if j&i: res[j] += res[j^i]
def zeta_to_low(res,n):
    for i in range(n):
        i = 1<<i
        for j in range(1<<n):
            if j&i == 0: res[j] += res[j^i]
def mobius_to_high(res,n):
    for i in range(n):
        i = 1<<i
        for j in range(1<<n):
            if j&i: res[j] -= res[j^i]

MOD = 998244353
n = int(input())
*a, = map(int,input().split())
*b, = map(int,input().split())
zeta_to_low(a,n)
mobius_to_high(b,n)
for i in range(1<<n):
    a[i] = (a[i]%MOD)*(b[i]%MOD)%MOD
zeta_to_high(a,n)
print(*(ai%MOD for ai in a))