Buggy python submission (verdict: Runtime Error):
from collections import defaultdict,deque
import sys,heapq,bisect,math,itertools,string,queue,datetime
sys.setrecursionlimit(10**8)
INF = float('inf')
mod = 998244353
eps = 10**-7
def inp(): return int(input())
def inpl(): return list(map(int, input().split()))
def inpls(): return list(input().split())

K,N = inpl()
MAX = K+N+10
fac = [1]*(MAX+1)
for i in range(1,MAX+1):
	fac[i] = (fac[i-1]*i)%mod

gyakugen = [1]*(MAX+1)
gyakugen[MAX] = pow(fac[MAX],mod-2,mod)
for i in range(MAX,0,-1):
	gyakugen[i-1] = (gyakugen[i]*i)%mod

def Comb(n,k):#nCk
	return (fac[n]*gyakugen[k]*gyakugen[n-k])%mod

#K=k,N=n,0pair = 0
def calc(k,n,i):
	#i=2に帰着させる
	pairs = (i-2)//2
	k -= pairs
	n -= pairs

	#色々と例外処理
	if n < 0 or k <= 0:
		return 0
	elif k == 1 and n >= 2:
		return 0

	if n == 0: 	 #球が0個なら1通り
		ans = 1
	elif n == 1: #球が1個ならそれぞれ1個ずつ入れてn通り
		ans = n 
	else:
		ans = 0
		#i=2の時の数え上げ
		for x in range(2):
			ball = n-x	#球
			box = k-1	#箱
			ans += Comb(box-1+ball,ball)%mod
			
	ans *= pow(2,x,mod)	#0pairの選び方
	return ans % mod

ans = []
for i in range(2,K+2):
	if i%2 == 0:
		pairs = (i-2)//2
		tmp = 0
		for p0 in range(pairs+1): #p0 = 0pairの数
			tmp += calc(K-p0*2,N,i-p0*2)*Comb(pairs,p0)%mod
			tmp %= mod
	ans.append(tmp)
	print(tmp)

ans = ans[::-1]
for i in range(1,K):
	print(ans[i])


Fixed submission:
from collections import defaultdict,deque
import sys,heapq,bisect,math,itertools,string,queue,datetime
sys.setrecursionlimit(10**8)
INF = float('inf')
mod = 998244353
eps = 10**-7
def inp(): return int(input())
def inpl(): return list(map(int, input().split()))
def inpls(): return list(input().split())

K,N = inpl()
MAX = K+N+10
fac = [1]*(MAX+1)
for i in range(1,MAX+1):
	fac[i] = (fac[i-1]*i)%mod

gyakugen = [1]*(MAX+1)
gyakugen[MAX] = pow(fac[MAX],mod-2,mod)
for i in range(MAX,0,-1):
	gyakugen[i-1] = (gyakugen[i]*i)%mod

def Comb(n,k):#nCk
	return (fac[n]*gyakugen[k]*gyakugen[n-k])%mod

#K=k,N=n,0pair = 0
def calc(k,n,i):
	x = (i-2)//2
	k -= x
	n -= x
	if k == 1:
		if n <= 1:
			return n
		else:
			return 0
	elif n == 0:
		return pow(2,x,mod)
	elif n < 0 or k <= 0:
		return 0

	tmp = 0
	for j in range(2):
		zb = n-j
		zm = k-2
		tmp += Comb(zb+zm,zb)%mod
	tmp %= mod
	tmp *= pow(2,x,mod)
	return tmp

ans = []
for i in range(2,K+2):
	if i%2 == 0:
		pairs = (i-2)//2
		tmp = 0
		for p0 in range(pairs+1):
			tmp += calc(K-p0*2,N,i-p0*2)*Comb(pairs,p0)%mod
			tmp %= mod
	ans.append(tmp)
	print(tmp)

ans = ans[::-1]
for i in range(1,K):
	print(ans[i])

Buggy python submission (verdict: Time Limit Exceeded):
from collections import defaultdict,deque
import sys,heapq,bisect,math,itertools,string,queue,datetime
sys.setrecursionlimit(10**8)
INF = float('inf')
mod = 998244353
eps = 10**-7
def inp(): return int(input())
def inpl(): return list(map(int, input().split()))
def inpls(): return list(input().split())

K,N = inpl()
MAX = K+N+10
fac = [1]*(MAX+1)
for i in range(1,MAX+1):
	fac[i] = (fac[i-1]*i)%mod

gyakugen = [1]*(MAX+1)
gyakugen[MAX] = pow(fac[MAX],mod-2,mod)
for i in range(MAX,0,-1):
	gyakugen[i-1] = (gyakugen[i]*i)%mod

def Comb(n,k):#nCk
	return (fac[n]*gyakugen[k]*gyakugen[n-k])%mod

#K=k,N=n,0pair = 0
def calc(k,n,i):
	x = (i-2)//2
	k -= x
	n -= x
	if k == 1:
		if n <= 1:
			return n
		else:
			return 0
	elif n == 0:
		return pow(2,x,mod)
	elif n < 0 or k <= 0:
		return 0

	tmp = 0
	for j in range(2):
		zb = n-j
		zm = k-2
		tmp += Comb(zb+zm,zb)%mod
	tmp %= mod
	tmp *= pow(2,x,mod)
	return tmp

ans = []
for i in range(2,K+2):
	if i%2 == 0:
		pairs = (i-2)//2
		tmp = 0
		for p0 in range(pairs+1):
			tmp += calc(K-p0*2,N,i-p0*2)*Comb(pairs,p0)%mod
			tmp %= mod
	ans.append(tmp)
	print(tmp)

ans = ans[::-1]
for i in range(1,K):
	print(ans[i])


Fixed submission:
from collections import defaultdict,deque
import sys,heapq,bisect,math,itertools,string,queue,datetime
sys.setrecursionlimit(10**8)
INF = float('inf')
mod = 998244353
eps = 10**-7
def inp(): return int(input())
def inpl(): return list(map(int, input().split()))
def inpls(): return list(input().split())

K,N = inpl()
MAX = K+N+10
fac = [1]*(MAX+1)
for i in range(1,MAX+1):
	fac[i] = (fac[i-1]*i)%mod

gyakugen = [1]*(MAX+1)
gyakugen[MAX] = pow(fac[MAX],mod-2,mod)
for i in range(MAX,0,-1):
	gyakugen[i-1] = (gyakugen[i]*i)%mod

def Comb(n,k):#nCk
	return (fac[n]*gyakugen[k]*gyakugen[n-k])%mod

#K=k,N=n,0pair = 0
def calc(k,n,i):
	x = (i-2)//2
	k -= x
	n -= x
	if k == 1:
		if n <= 1:
			return n
		else:
			return 0
	elif n == 0:
		return pow(2,x,mod)
	elif n < 0 or k <= 0:
		return 0

	tmp = 0
	for j in range(2):
		zb = n-j
		zm = k-2
		tmp += Comb(zb+zm,zb)%mod
	tmp %= mod
	tmp *= pow(2,x,mod)
	return tmp

ans = []
for i in range(2,K+2):
	if i%2 == 0:
		pairs = (i-2)//2
		tmp = 0
		for p0 in range(pairs+1):
			tmp += calc(K-p0*2,N,i-p0*2)*Comb(pairs,p0)%mod
			tmp %= mod
	ans.append(tmp)
	print(tmp)

ans = ans[::-1]
for i in range(1,K):
	print(ans[i])

Buggy python submission (verdict: Runtime Error):
from collections import defaultdict,deque
import sys,heapq,bisect,math,itertools,string,queue,datetime
sys.setrecursionlimit(10**8)
INF = float('inf')
mod = 998244353
eps = 10**-7
def inp(): return int(input())
def inpl(): return list(map(int, input().split()))
def inpls(): return list(input().split())

K,N = inpl()

MAX = 1000*3
fac = [1]*(MAX+1)
for i in range(1,MAX+1):
	fac[i] = (fac[i-1]*i)%mod

gyakugen = [1]*(MAX+1)
gyakugen[MAX] = pow(fac[MAX],mod-2,mod)
for i in range(MAX,0,-1):
	gyakugen[i-1] = (gyakugen[i]*i)%mod

def Comb(n,k):#nCk
	return (fac[n]*gyakugen[k]*gyakugen[n-k])%mod

#K=k,N=n,0pair = 0
def calc(k,n,i):
	x = (i-2)//2
	k -= x
	n -= x
	if k == 1:
		if n <= 1:
			return n
		else:
			return 0
	tmp = 0
	for j in range(2):
		zb = n-j
		zm = k-2
		tmp += Comb(zb+zm,zb)%mod
	tmp %= mod
	tmp *= (2**x)%mod
	return tmp

ans = []
for i in range(2,K+2):
	if i%2 == 0:
		pairs = (i-2)//2
		tmp = 0
		for p0 in range(pairs+1):
			tmp += calc(K-p0*2,N,i-p0*2)*Comb(pairs,p0)%mod
			tmp %= mod
	ans.append(tmp)
	print(tmp)

ans = ans[::-1]

for i in range(1,K):
	print(ans[i])


Fixed submission:
from collections import defaultdict,deque
import sys,heapq,bisect,math,itertools,string,queue,datetime
sys.setrecursionlimit(10**8)
INF = float('inf')
mod = 998244353
eps = 10**-7
def inp(): return int(input())
def inpl(): return list(map(int, input().split()))
def inpls(): return list(input().split())

K,N = inpl()
MAX = K+N+10
fac = [1]*(MAX+1)
for i in range(1,MAX+1):
	fac[i] = (fac[i-1]*i)%mod

gyakugen = [1]*(MAX+1)
gyakugen[MAX] = pow(fac[MAX],mod-2,mod)
for i in range(MAX,0,-1):
	gyakugen[i-1] = (gyakugen[i]*i)%mod

def Comb(n,k):#nCk
	return (fac[n]*gyakugen[k]*gyakugen[n-k])%mod

#K=k,N=n,0pair = 0
def calc(k,n,i):
	x = (i-2)//2
	k -= x
	n -= x
	if k == 1:
		if n <= 1:
			return n
		else:
			return 0
	elif n == 0:
		return pow(2,x,mod)
	elif n < 0 or k <= 0:
		return 0

	tmp = 0
	for j in range(2):
		zb = n-j
		zm = k-2
		tmp += Comb(zb+zm,zb)%mod
	tmp %= mod
	tmp *= pow(2,x,mod)
	return tmp

ans = []
for i in range(2,K+2):
	if i%2 == 0:
		pairs = (i-2)//2
		tmp = 0
		for p0 in range(pairs+1):
			tmp += calc(K-p0*2,N,i-p0*2)*Comb(pairs,p0)%mod
			tmp %= mod
	ans.append(tmp)
	print(tmp)

ans = ans[::-1]
for i in range(1,K):
	print(ans[i])