import sys

sys.setrecursionlimit(10**7)
def I(): return int(sys.stdin.readline().rstrip())
def MI(): return map(int,sys.stdin.readline().rstrip().split())
def LI(): return list(map(int,sys.stdin.readline().rstrip().split()))
def LI2(): return list(map(int,sys.stdin.readline().rstrip()))
def S(): return sys.stdin.readline().rstrip()
def LS(): return list(sys.stdin.readline().rstrip().split())
def LS2(): return list(sys.stdin.readline().rstrip())


class NTT():
    def __init__(self,p):
        self.p = p
        self.primitive_root = 1
        self.e = 0
        if p == 998244353:  # 998244353 = 1+119*2^23
            self.primitive_root = 3
            self.e = 23
        elif p == 1012924417:  # 1012924417 = 1+483*2^21
            self.primitive_root = 5
            self.e = 21
        elif p == 1224736769:  # 1224736769 = 1+73*2^24
            self.primitive_root = 3
            self.e = 24

        self.roots = [pow(self.primitive_root,(p-1) >> i,p) for i in range(self.e+1)]
        self.inv_roots = [pow(r,p-2,p) for r in self.roots]

    def ntt(self,A,n):
        for i in range(n):
            m = 1 << (n-i-1)
            for start in range(1 << i):
                w = 1
                start *= m * 2
                for j in range(m):
                    A[start+j],A[start+j+m] = (A[start+j]+A[start+j+m]) % self.p,(A[start+j]-A[start+j+m])*w % self.p
                    w *= self.roots[n - i]
                    w %= self.p
        return A

    def inv_ntt(self,A,n):
        for i in range(n):
            m = 1 << i
            for start in range(1 << (n-i-1)):
                w = 1
                start *= m*2
                for j in range(m):
                    A[start+j],A[start+j+m] = (A[start+j]+A[start+j+m]*w) % self.p,(A[start+j]-A[start+j+m]*w) % self.p
                    w *= self.inv_roots[i+1]
                    w %= self.p
        a = pow(2,n*(self.p-2),self.p)
        for i in range(1 << n):
            A[i] *= a
            A[i] %= self.p
        return A

    def convolution(self,A,B):
        a,b = len(A),len(B)
        deg = a+b-2
        n = deg.bit_length()
        N = 1 << n
        A += [0]*(N-a)  # A の次数を 2冪-1 にする
        B += [0]*(N-b)  # B の次数を 2冪-1 にする
        FA = self.ntt(A,n)
        FB = self.ntt(B,n)
        FC = [(FA[i]*FB[i]) % self.p for i in range(N)]
        C = self.inv_ntt(FC,n)
        return C[:deg+1]


N = I()
A = [0]+LI()
B = [0]+LI()
AB = [a+b for a,b in zip(A,B)]
X = [i for i in range(N+1)]

mod0 = 998244353
ntt0 = NTT(mod0)
ANS0 = ntt0.convolution(AB[:],X[:])

mod1 = 1012924417
ntt1 = NTT(mod1)
ANS1 = ntt1.convolution(AB[:],X[:])


def ext_gcd(a,b):  # gcd(a,b) と a*x+b*y == gcd(a,b) の整数解(x,y)
    if b > 0:
        d,x,y = ext_gcd(b,a % b)
        return d,y,x-(a//b)*y
    return a,1,0


def remainder(V):  # Z == Xi (mod Yi) たる Z, lcm(Yi)
    x,lcm = 0,1
    for X,Y in V:
        g,a,b = ext_gcd(lcm,Y)
        x,lcm = (Y*b*x+lcm*a*X)//g,lcm*(Y//g)
        x %= lcm
    return x,lcm


ANS = []
for i in range(1,2*N+1):
    a0 = ANS0[i]
    a1 = ANS1[i]
    a,l = remainder([(a0,mod0),(a1,mod1)])
    ANS.append(a)

print(*ANS)