N,K=map(int,input().split()) A=list(map(int,input().split())) mod=998244353 B=[0]*N k=(K+1)//2 a=k-1 b=0 now=1 for i in range(0,len(B),2): B[i]=now a+=1 b+=1 now=now*a*pow(b,mod-2,mod)%mod if K%2==1: for i in range(1,len(B),2): B[i]=B[i-1] if K%2==1: for i in range(1,len(A),2): A[i]=-A[i] # FFT # mod=998244353 における、NTTによる高速フーリエ変換、畳み込み # 他の提出を参考にしており、あまり理解できていません…… mod=998244353 Weight=[1, 998244352, 911660635, 372528824, 929031873, 452798380, 922799308, 781712469, 476477967, 166035806, 258648936, 584193783, 63912897, 350007156, 666702199, 968855178, 629671588, 24514907, 996173970, 363395222, 565042129, 733596141, 267099868, 15311432, 0] Weight_inv=[1, 998244352, 86583718, 509520358, 337190230, 87557064, 609441965, 135236158, 304459705, 685443576, 381598368, 335559352, 129292727, 358024708, 814576206, 708402881, 283043518, 3707709, 121392023, 704923114, 950391366, 428961804, 382752275, 469870224, 0] def fft(A,n,h,inverse=0): if inverse==0: for i in range(h): m=1<<(h-i-1) for j in range(1<<i): w=1 ij=j*m*2 wk=Weight[h-i] for k in range(m): A[ij+k],A[ij+k+m]=(A[ij+k]+A[ij+k+m])%mod,(A[ij+k]-A[ij+k+m])*w%mod w=w*wk%mod else: for i in range(h): m=1<<i for j in range(1<<(h-i-1)): w=1 ij=j*m*2 wk=Weight_inv[i+1] for k in range(m): A[ij+k],A[ij+k+m]=(A[ij+k]+A[ij+k+m]*w)%mod,(A[ij+k]-A[ij+k+m]*w)%mod w=w*wk%mod if inverse==1: INV_n=pow(n,mod-2,mod) for i in range(n): A[i]=A[i]*INV_n%mod return A def convolution(A,B): FFTLEN=len(A)+len(B)-1 h=FFTLEN.bit_length() LEN=2**h A+=[0]*(LEN-len(A)) # A,Bのサイズを2ベキに揃える B+=[0]*(LEN-len(B)) A_FFT=fft(A,LEN,h) B_FFT=fft(B,LEN,h) for i in range(len(A)): A[i]=A[i]*B[i]%mod A=fft(A,LEN,h,1) return A[:FFTLEN] #print(A,B) ANS=convolution(A,B) print(*ANS[:N])