Given a positive integer n, find k integers (not necessary distinct) such that all these integers are strictly greater than 1, and their product is equal to n.

Input

The first line contains two integers n and k (2 ≤ n ≤ 100000, 1 ≤ k ≤ 20).

Output

If it's impossible to find the representation of n as a product of k numbers, print -1.

Otherwise, print k integers in any order. Their product must be equal to n. If there are multiple answers, print any of them.

Examples

Input

100000 2


Output

2 50000 


Input

100000 20


Output

-1


Input

1024 5


Output

2 64 2 2 2

Difficulty: EASY

Solutions:
import math

def Factors(n, k):
	l = []
	a = n
	while n % 2 == 0:
		l.append(2)
		n = n / 2
	for i in range(3, int(math.sqrt(n)) + 1, 2):
		while n % i == 0:
			(l.append(int(i)),)
			n = n / i
	if n > 2:
		l.append(int(n))
	if k > len(l):
		print(-1)
	elif k == 1:
		print(a)
	else:
		for i in range(k - 1):
			print(l[i], end=' ')
			if i == k - 2:
				z = 1
				for j in range(i + 1, len(l)):
					z = z * l[j]
				print(z, end=' ')
(n, k) = map(int, input().split())
Factors(n, k)


import math as mt

def main():
	lst = list()
	(n, k) = (int(x) for x in input().split())
	ans = 1
	if k == 1:
		print(n)
		return
	for i in range(2, int(mt.sqrt(n) + 1)):
		if n % i == 0:
			while n % i == 0:
				n = n / i
				if n == 1:
					break
				ans += 1
				lst.append(i)
				if ans == k:
					lst.append(int(n))
					break
		if ans == k:
			break
	if ans != k:
		print(-1)
	else:
		for i in lst:
			print(i, end=' ')
main()


(n, k) = [int(x) for x in input().split()]
fac = []
a = n
while n > 1:
	for i in range(2, n + 1):
		if n % i == 0:
			fac += [i]
			n //= i
			break
if len(fac) < k:
	print(-1)
else:
	wyn = 1
	for i in range(k - 1):
		wyn *= fac[i]
		print(fac[i], end=' ')
	if fac != k:
		print(a // wyn)


(n, k) = map(int, input().split())
a = []
while n % 2 == 0:
	a.append(2)
	n //= 2
for i in range(3, int(n ** 0.5) + 2, 2):
	while n % i == 0:
		a.append(i)
		n //= i
if n != 1:
	a.append(n)
if len(a) < k:
	print(-1)
else:
	while len(a) > k:
		a[-2] *= a[-1]
		del a[-1]
	print(*a)


import sys
import math
import itertools
import collections

def sieve(n):
	if n < 2:
		return list()
	prime = [True for _ in range(n + 1)]
	p = 3
	while p * p <= n:
		if prime[p]:
			for i in range(p * 2, n + 1, p):
				prime[i] = False
		p += 2
	r = [2]
	for p in range(3, n + 1, 2):
		if prime[p]:
			r.append(p)
	return r

def divs(n, start=1):
	r = []
	for i in range(start, int(math.sqrt(n) + 1)):
		if n % i == 0:
			if n / i == i:
				r.append(i)
			else:
				r.extend([i, n // i])
	return r

def prime(n):
	if n == 2:
		return True
	if n % 2 == 0 or n <= 1:
		return False
	sqr = int(math.sqrt(n)) + 1
	for d in range(3, sqr, 2):
		if n % d == 0:
			return False
	return True

def convn(number, base):
	newnumber = 0
	while number > 0:
		newnumber += number % base
		number //= base
	return newnumber

def cdiv(n, k):
	return n // k + (n % k != 0)

def ii():
	return int(input())

def mi():
	return map(int, input().split())

def li():
	return list(map(int, input().split()))

def lcm(a, b):
	return abs(a * b) // math.gcd(a, b)

def wr(arr):
	return ' '.join(map(str, arr))

def revn(n):
	return str(n)[::-1]

def dd():
	return collections.defaultdict(int)

def ddl():
	return collections.defaultdict(list)
p = sieve(100001)
(n, k) = mi()
d = []
for prmn in p:
	while n % prmn == 0:
		n //= prmn
		d.append(prmn)
if len(d) < k:
	print(-1)
else:
	prod = d[k - 1]
	for i in range(k, len(d)):
		prod *= d[i]
	print(wr(d[:k - 1]), str(prod)) if k > 1 else print(str(prod))


inpu = input()
num = inpu.split()
n = int(num[0])
k = int(num[1])
number = n
j = m = 1
r = 2
outpu = ''
while 1:
	if n == 1:
		print('-1')
		break
	if j == k:
		m = m * n
		outpu = outpu + str(n) + ' '
		print(outpu)
		break
	if n % r == 0:
		n = n // r
		m = m * r
		outpu = outpu + str(r) + ' '
		j = j + 1
	else:
		r = r + 1


def k_factorize(n, k):
	factors = []
	orig = n
	d = 2
	while d * d <= orig and n > 1 and (len(factors) < k - 1):
		while n % d == 0 and len(factors) < k - 1:
			factors.append(d)
			n //= d
		d += 1
	if n > 1:
		factors.append(n)
	return factors
(n, k) = map(int, input().split())
ans = k_factorize(n, k)
if len(ans) != k:
	print(-1)
else:
	print(*k_factorize(n, k))


factors = []
(n, k) = map(int, input().split(' '))
div = 2
while div * div <= n:
	if n % div == 0:
		while n % div == 0:
			factors.append(div)
			n //= div
	div += 1
if n != 1:
	factors.append(n)
if len(factors) < k:
	print(-1)
else:
	prod = 1
	for i in range(k - 1, len(factors)):
		prod *= factors[i]
	print(' '.join(map(str, factors[:k - 1])) + ' ' + str(prod))


import math
(n, k) = (int(i) for i in input().split())
c = 0
l = []
k1 = n
for i in range(2, int(math.sqrt(k1)) + 1):
	if c == k - 1:
		break
	if n % i == 0:
		while n % i == 0:
			if c == k - 1:
				break
			l.append(i)
			c += 1
			n //= i
if c == k - 1 and n != 1:
	print(*l, n)
else:
	print(-1)


import math
(n, k) = input().split()
(n, k) = (int(n), int(k))
answer = []
while k > 0:
	kk = k
	for d in range(2, n + 1):
		if n % d == 0:
			answer.append(d)
			n = int(n / d)
			k -= 1
			break
	if kk == k:
		answer = [-1]
		break
if k == 0:
	answer[k - 1] *= n
print(*answer, sep=' ')


import math
[n, k] = [int(i) for i in input().split()]
v = []

def Find(n, k):
	if k == 1:
		v.append(n)
		return
	p = FD(n)
	if p == -1:
		v.append(n)
		return
	v.append(p)
	Find(n / p, k - 1)

def FD(n):
	for i in range(2, int(math.sqrt(n) + 1)):
		if n % i == 0:
			return i
	return -1
if k == 1:
	print(n)
else:
	Find(n, k)
	if len(v) < k:
		print(-1)
	else:
		for i in v:
			print(int(i), sep=' ', end=' ')


import math
(n, k) = map(int, input().split())
l = []
for i in range(2, n + 1):
	if n % i == 0:
		while n % i == 0 and len(l) < k - 1:
			n //= i
			l.append(i)
if n > 1:
	l.append(n)
if k == len(l):
	print(*l)
else:
	print(-1)


from math import sqrt

def prime_generator(n):
	correction = n % 6 > 1
	n = {0: n, 1: n - 1, 2: n + 4, 3: n + 3, 4: n + 2, 5: n + 1}[n % 6]
	sieve = [True] * (n // 3)
	sieve[0] = False
	for i in range(int(n ** 0.5) // 3 + 1):
		if sieve[i]:
			k = 3 * i + 1 | 1
			sieve[k * k // 3::2 * k] = [False] * ((n // 6 - k * k // 6 - 1) // k + 1)
			sieve[(k * k + 4 * k - 2 * k * (i & 1)) // 3::2 * k] = [False] * ((n // 6 - (k * k + 4 * k - 2 * k * (i & 1)) // 6 - 1) // k + 1)
	return [2, 3] + [3 * i + 1 | 1 for i in range(1, n // 3 - correction) if sieve[i]]
string = input().split()
n = int(string[0])
k = int(string[1])
primes = prime_generator(int(sqrt(n) + 1))
length = 2
nums = []
i = 2
while length != k + 1:
	check = False
	check2 = False
	if length == k:
		for i in range(2, 20):
			if n % i == 0 and n / i != 1:
				n /= i
				nums.append(i)
				length += 1
				check2 = True
				break
	if check2:
		break
	for i in primes:
		if n % i == 0 and n / i != 1:
			n /= i
			nums.append(i)
			length += 1
			check = True
			break
	if not check:
		break
if len(nums) != k - 1:
	print(-1)
else:
	for i in range(k - 1):
		print(nums[i], end=' ')
	print(int(n))


(n, m) = map(int, input().split())
l = []
for i in range(m - 1):
	for j in range(2, int(n) + 1):
		if n % j == 0:
			n /= j
			l.append(j)
			break
l.append(int(n))
if len(l) == m and l[-1] != 1:
	print(*l)
else:
	print(-1)


(n, k) = map(int, input().split())
p = []
for i in range(k - 1):
	j = 2
	while j < n + 1 and n % j > 0:
		j += 1
	p.append(j)
	n //= j
	if n == 1:
		break
if len(p) == k - 1 and n > 1:
	p.append(n)
if len(p) == k:
	print(' '.join(map(str, p)))
else:
	print(-1)


gi = lambda : list(map(int, input().strip().split()))
(n, m) = gi()
ans = []
k = 2
nn = n
while n > 0 and k <= nn:
	while n > 0 and n % k == 0:
		n //= k
		if len(ans) == m:
			ans[-1] *= k
		else:
			ans.append(k)
	k += 1
if len(ans) < m:
	print(-1)
	exit()
print(' '.join(map(str, ans)))


(n, k) = map(int, input().split())
ans = []
for i in range(2, int(n ** 0.5) + 1):
	while not n % i:
		n //= i
		ans.append(i)
if n != 1:
	ans.append(n)
if len(ans) < k:
	print(-1)
	exit(0)
elif len(ans) == k:
	print(*ans)
else:
	t = 1
	for i in range(k - 1, len(ans)):
		t *= ans[i]
	for i in ans[:k - 1]:
		print(i, end=' ')
	print(t)


(n, k) = map(int, input().split())
a = []
i = 2
while i * i <= n and len(a) < k:
	if n % i == 0:
		a.append(i)
		n //= i
	else:
		i += 1
if len(a) < k and n > 1:
	a.append(n)
elif len(a) == k and n > 1:
	a[-1] *= n
if len(a) == k:
	print(*a)
else:
	print(-1)


import math

def factorization(n, k):
	l = []
	cnt = 1
	flag = False
	while n % 2 == 0:
		l.append(2)
		n = n // 2
		cnt += 1
		if cnt == k:
			flag = True
			break
	if not flag:
		for i in range(3, int(math.sqrt(n)) + 1, 2):
			while n % i == 0:
				l.append(i)
				n = n // i
				cnt += 1
				if cnt == k:
					flag = True
					break
			if flag:
				break
	if flag and n > 1:
		return (l, n)
	else:
		return ([], n)
(n, k) = map(int, input().split())
if k == 1:
	print(n)
else:
	(l, c) = factorization(n, k)
	if len(l) == 0:
		print('-1')
	else:
		for i in range(k - 1):
			print(l[i], end=' ')
		print(c)


(n, k) = map(int, input().split())
r = []
c = 2
while k > 1 and n > 1:
	if n % c == 0:
		k -= 1
		r.append(c)
		n = n // c
	else:
		c += 1
if k == 1 and n > 1:
	r.append(n)
	print(str.join(' ', map(str, r)))
else:
	print(-1)


(n, k) = map(int, input().split())
i = 2
nn = n
a = []
for i in range(2, n + 1):
	while nn % i == 0:
		if k > 1:
			a.append(i)
			nn //= i
		elif i == nn:
			a.append(i)
			nn //= i
		else:
			break
		k -= 1
if k == 0:
	for i in a:
		print(i, end=' ')
else:
	print(-1)


(n, k) = map(int, input().split())
x = 2
goal = 1
shit = ''

def isPrime(number):
	if number < 2:
		return False
	for i in range(2, number):
		if number % i == 0:
			return False
	return True
if k == 1:
	print(n)
else:
	while n != 1:
		if isPrime(x):
			if n % x == 0:
				n /= x
				if n != 1:
					goal += 1
				shit += ' ' + str(x)
				if goal == k:
					print(shit.strip(), end=' ')
					print(int(n))
					break
			else:
				x += 1
		else:
			x += 1
	if goal != k:
		print(-1)


from math import sqrt, ceil
(n, k) = map(int, input().split())
ans = list()
while n % 2 == 0:
	n //= 2
	ans.append(2)
for i in range(3, ceil(sqrt(n)) + 1, 2):
	while n % i == 0:
		ans.append(i)
		n //= i
if n > 2:
	ans.append(n)
if len(ans) < k:
	print(-1)
else:
	print(*ans[:k - 1], end=' ')
	mul = 1
	for i in range(k - 1, len(ans)):
		mul *= ans[i]
	print(mul)


(number, nb_factors) = [int(x) for x in input().split()]
ans = []
done = 1
now = 2
while done < nb_factors and number > 1:
	while number % now == 0 and done < nb_factors:
		ans.append(now)
		done += 1
		number //= now
	now += 1
ans.append(number)
if len(ans) == nb_factors and ans[-1] != 1:
	print(*ans)
else:
	print(-1)


a = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307]
z = [0] * len(a)
(n, k) = map(int, input().split())
old = n
i = 0
while True:
	if n == 1:
		break
	if i == len(a):
		break
	if n % a[i] == 0:
		n //= a[i]
		z[i] += 1
	else:
		i += 1
i = 0
ans = ''
p = 1
x = 0
while i < len(a):
	if z[i] == 0:
		i += 1
	else:
		x += 1
		if x == k:
			break
		p *= a[i]
		ans += str(a[i]) + ' '
		z[i] -= 1
if x == k:
	print(ans + str(old // p))
elif x == k - 1 and old // p != 1:
	print(ans + str(old // p))
else:
	print(-1)


(n, k) = [int(_) for _ in input().split(' ') if _]
r = int(n)
d = []
i = 2
while i * i <= n:
	if n % i == 0:
		d.append(i)
		n //= i
	else:
		i += 1
if n > 1:
	d.append(n)
if k <= len(d):
	p = 1
	for i in range(k - 1):
		print(d[i], end=' ')
		p *= d[i]
	print(r // p)
else:
	print(-1)


import re
import sys
from bisect import bisect, bisect_left, insort, insort_left
from collections import Counter, defaultdict, deque
from copy import deepcopy
from decimal import Decimal
from itertools import accumulate, combinations, combinations_with_replacement, groupby, permutations, product
from math import acos, asin, atan, ceil, cos, degrees, factorial, gcd, hypot, log2, pi, radians, sin, sqrt, tan
from operator import itemgetter, mul
from string import ascii_lowercase, ascii_uppercase, digits

def inp():
	return int(input())

def inlist():
	return list(map(int, input().split()))

def instr():
	s = input()
	return list(s[:len(s)])

def invr():
	return map(int, input().split())

def factors(n):
	limit = int(sqrt(n) + 1)
	res = []
	for i in range(2, limit + 1):
		while n % i == 0:
			res.append(i)
			n //= i
	if n > 1:
		res.append(n)
	return res
(n, k) = invr()
f = factors(n)
if k > len(f):
	print(-1)
else:
	for i in range(k - 1):
		print(f[i], end=' ')
	res = 1
	for i in range(k - 1, len(f)):
		res *= f[i]
	if res > 1:
		print(res)


def l(s, x, b, k):
	if x == 1:
		s = '-1'
		return s
	if k == 1:
		s += str(x) + ' '
		return s
	for i in range(b, x + 1):
		if i * i > x:
			s = '-1'
			return s
		if x % i == 0:
			s += str(i) + ' '
			return l(s, x // i, i, k - 1)
[n, k] = [int(x) for x in input().split()]
res = l('', n, 2, k)
print(res)


import math

def mnozh(a):
	for i in range(2, int(math.sqrt(a)) + 1):
		if a % i == 0:
			return i
	return -1
(n, k) = [int(s) for s in input().split()]
if k == 1:
	print(n)
else:
	rez = []
	for j in range(k - 1):
		m = mnozh(n)
		if m == -1:
			rez = [-1]
			break
		else:
			rez.append(m)
			n //= m
	else:
		rez.append(n)
	print(' '.join([str(e) for e in rez]))


def main():
	[n, k] = [int(x) for x in input().split()]
	output = []
	divide = 2
	while n is not 1:
		if k is 1:
			output.append(str(n))
			print(' '.join(output))
			return
		if n is divide:
			print(-1)
			return
		if n % divide is 0:
			output.append(str(divide))
			k -= 1
			n = int(n / divide)
		else:
			divide += 1
	print(-1)
main()


def get_integers(number, ammount):
	result = []
	start = 2
	while ammount > 1:
		root = number ** 0.5
		found = False
		while ammount > 1 and start <= root:
			found = False
			if number % start == 0:
				result.append(start)
				number = number // start
				root = number ** 0.5
				ammount -= 1
				found = True
			else:
				start += 1
		if found == False:
			break
	if ammount != 1:
		result = [-1]
	else:
		result.append(number)
	return result
(number, ammount) = map(int, input().split())
result = get_integers(number, ammount)
result = ' '.join(map(str, result))
print(result)


(n, k) = list(map(int, input().split()))
j = 2
li = list()
c = 1
while c < k and n != 1:
	if n % j == 0:
		li.append(j)
		n = n // j
		c += 1
	else:
		j += 1
if n != 1:
	li.append(n)
if len(li) < k:
	print(-1)
else:
	print(' '.join(list(map(str, li))))


from math import sqrt
(n, k) = map(int, input().split())
p = [0] * 100001
p[0] = 1
p[1] = 1
x = 2
while x * x < 100001:
	if p[x] == 0:
		for i in range(x + x, 100001, x):
			p[i] = 1
	x += 1
i = 2
res = 0
ans = list()
while n != 1:
	if n % i == 0:
		res += 1
		n //= i
		ans.append(i)
	else:
		for j in range(i + 1, 100001):
			if p[j] == 0:
				i = j
				break
if res < k:
	print(-1)
else:
	print(*ans[:k - 1], end=' ')
	mul = 1
	for i in range(k - 1, len(ans)):
		mul *= ans[i]
	print(mul)


import math
(n, k) = map(int, input().split())
if k == 1:
	print(n)
	exit(0)
(a, k) = ([], k - 1)
for i in range(2, math.ceil(math.sqrt(n)) + 1):
	while n % i == 0:
		a.append(i)
		k -= 1
		n //= i
		if k == 0:
			if n == 1:
				print(-1)
			else:
				print(*a, n)
			exit(0)
print(-1)


(n, k) = map(int, input().split())
h = n
t = ''
f = 0
i = 2
while k != f + 1 and i <= n / 2:
	if h % i == 0:
		f += 1
		t += '{} '.format(i)
		h = int(h / i)
	else:
		i += 1
if k > f + 1 or h == 1:
	print(-1)
else:
	print(t + '{}'.format(h))


import math
(n, k) = map(int, input().split())
tn = n
f = []
for i in range(2, int(math.sqrt(n)) + 1):
	while n % i == 0:
		n /= i
		f.append(i)
p = 1
for x in f:
	p *= x
if p < tn:
	f.append(tn // p)
if k == 1:
	print(tn)
elif len(f) < k:
	print(-1)
else:
	f1 = f[:k - 1]
	t = 1
	for i in range(k - 1, len(f)):
		t *= f[i]
	f1.append(t)
	print(' '.join(map(str, f1)))


(n, k) = map(int, input().split())
v = []
i = 2
while i <= n:
	if len(v) == k - 1:
		if n > 1:
			v.append(n)
		break
	if n % i == 0:
		v.append(i)
		n //= i
	else:
		i += 1
if len(v) == k:
	print(*v)
else:
	print(-1)


from functools import reduce
from math import ceil, sqrt
a = []
(n, k) = map(int, input().split())
while n % 2 == 0:
	n //= 2
	a.append(2)
for i in range(3, ceil(sqrt(n)) + 1, 2):
	while n % i == 0:
		n //= i
		a.append(i)
if n > 2:
	a.append(n)
print(*((-1,) if len(a) < k else (*a[:k - 1], reduce(lambda x, y: x * y, a[k - 1:]))))


prime = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, 10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, 10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177, 10181, 10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343, 10357, 10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657, 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, 10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, 10957, 10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 11069, 11071, 11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, 11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399, 11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527, 11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 11777, 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, 11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, 11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 12113, 12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, 12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553, 12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641, 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, 12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, 12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, 13009, 13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187, 13217, 13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337, 13339, 13367, 13381, 13397, 13399, 13411, 13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499, 13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597, 13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681, 13687, 13691, 13693, 13697, 13709, 13711, 13721, 13723, 13729, 13751, 13757, 13759, 13763, 13781, 13789, 13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, 13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 13963, 13967, 13997, 13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081, 14083, 14087, 14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197, 14207, 14221, 14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323, 14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407, 14411, 14419, 14423, 14431, 14437, 14447, 14449, 14461, 14479, 14489, 14503, 14519, 14533, 14537, 14543, 14549, 14551, 14557, 14561, 14563, 14591, 14593, 14621, 14627, 14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699, 14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, 14759, 14767, 14771, 14779, 14783, 14797, 14813, 14821, 14827, 14831, 14843, 14851, 14867, 14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939, 14947, 14951, 14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, 15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137, 15139, 15149, 15161, 15173, 15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259, 15263, 15269, 15271, 15277, 15287, 15289, 15299, 15307, 15313, 15319, 15329, 15331, 15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401, 15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473, 15493, 15497, 15511, 15527, 15541, 15551, 15559, 15569, 15581, 15583, 15601, 15607, 15619, 15629, 15641, 15643, 15647, 15649, 15661, 15667, 15671, 15679, 15683, 15727, 15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773, 15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, 15877, 15881, 15887, 15889, 15901, 15907, 15913, 15919, 15923, 15937, 15959, 15971, 15973, 15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069, 16073, 16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, 16187, 16189, 16193, 16217, 16223, 16229, 16231, 16249, 16253, 16267, 16273, 16301, 16319, 16333, 16339, 16349, 16361, 16363, 16369, 16381, 16411, 16417, 16421, 16427, 16433, 16447, 16451, 16453, 16477, 16481, 16487, 16493, 16519, 16529, 16547, 16553, 16561, 16567, 16573, 16603, 16607, 16619, 16631, 16633, 16649, 16651, 16657, 16661, 16673, 16691, 16693, 16699, 16703, 16729, 16741, 16747, 16759, 16763, 16787, 16811, 16823, 16829, 16831, 16843, 16871, 16879, 16883, 16889, 16901, 16903, 16921, 16927, 16931, 16937, 16943, 16963, 16979, 16981, 16987, 16993, 17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, 17077, 17093, 17099, 17107, 17117, 17123, 17137, 17159, 17167, 17183, 17189, 17191, 17203, 17207, 17209, 17231, 17239, 17257, 17291, 17293, 17299, 17317, 17321, 17327, 17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, 17393, 17401, 17417, 17419, 17431, 17443, 17449, 17467, 17471, 17477, 17483, 17489, 17491, 17497, 17509, 17519, 17539, 17551, 17569, 17573, 17579, 17581, 17597, 17599, 17609, 17623, 17627, 17657, 17659, 17669, 17681, 17683, 17707, 17713, 17729, 17737, 17747, 17749, 17761, 17783, 17789, 17791, 17807, 17827, 17837, 17839, 17851, 17863, 17881, 17891, 17903, 17909, 17911, 17921, 17923, 17929, 17939, 17957, 17959, 17971, 17977, 17981, 17987, 17989, 18013, 18041, 18043, 18047, 18049, 18059, 18061, 18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143, 18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229, 18233, 18251, 18253, 18257, 18269, 18287, 18289, 18301, 18307, 18311, 18313, 18329, 18341, 18353, 18367, 18371, 18379, 18397, 18401, 18413, 18427, 18433, 18439, 18443, 18451, 18457, 18461, 18481, 18493, 18503, 18517, 18521, 18523, 18539, 18541, 18553, 18583, 18587, 18593, 18617, 18637, 18661, 18671, 18679, 18691, 18701, 18713, 18719, 18731, 18743, 18749, 18757, 18773, 18787, 18793, 18797, 18803, 18839, 18859, 18869, 18899, 18911, 18913, 18917, 18919, 18947, 18959, 18973, 18979, 19001, 19009, 19013, 19031, 19037, 19051, 19069, 19073, 19079, 19081, 19087, 19121, 19139, 19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213, 19219, 19231, 19237, 19249, 19259, 19267, 19273, 19289, 19301, 19309, 19319, 19333, 19373, 19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423, 19427, 19429, 19433, 19441, 19447, 19457, 19463, 19469, 19471, 19477, 19483, 19489, 19501, 19507, 19531, 19541, 19543, 19553, 19559, 19571, 19577, 19583, 19597, 19603, 19609, 19661, 19681, 19687, 19697, 19699, 19709, 19717, 19727, 19739, 19751, 19753, 19759, 19763, 19777, 19793, 19801, 19813, 19819, 19841, 19843, 19853, 19861, 19867, 19889, 19891, 19913, 19919, 19927, 19937, 19949, 19961, 19963, 19973, 19979, 19991, 19993, 19997, 20011, 20021, 20023, 20029, 20047, 20051, 20063, 20071, 20089, 20101, 20107, 20113, 20117, 20123, 20129, 20143, 20147, 20149, 20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233, 20249, 20261, 20269, 20287, 20297, 20323, 20327, 20333, 20341, 20347, 20353, 20357, 20359, 20369, 20389, 20393, 20399, 20407, 20411, 20431, 20441, 20443, 20477, 20479, 20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551, 20563, 20593, 20599, 20611, 20627, 20639, 20641, 20663, 20681, 20693, 20707, 20717, 20719, 20731, 20743, 20747, 20749, 20753, 20759, 20771, 20773, 20789, 20807, 20809, 20849, 20857, 20873, 20879, 20887, 20897, 20899, 20903, 20921, 20929, 20939, 20947, 20959, 20963, 20981, 20983, 21001, 21011, 21013, 21017, 21019, 21023, 21031, 21059, 21061, 21067, 21089, 21101, 21107, 21121, 21139, 21143, 21149, 21157, 21163, 21169, 21179, 21187, 21191, 21193, 21211, 21221, 21227, 21247, 21269, 21277, 21283, 21313, 21317, 21319, 21323, 21341, 21347, 21377, 21379, 21383, 21391, 21397, 21401, 21407, 21419, 21433, 21467, 21481, 21487, 21491, 21493, 21499, 21503, 21517, 21521, 21523, 21529, 21557, 21559, 21563, 21569, 21577, 21587, 21589, 21599, 21601, 21611, 21613, 21617, 21647, 21649, 21661, 21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751, 21757, 21767, 21773, 21787, 21799, 21803, 21817, 21821, 21839, 21841, 21851, 21859, 21863, 21871, 21881, 21893, 21911, 21929, 21937, 21943, 21961, 21977, 21991, 21997, 22003, 22013, 22027, 22031, 22037, 22039, 22051, 22063, 22067, 22073, 22079, 22091, 22093, 22109, 22111, 22123, 22129, 22133, 22147, 22153, 22157, 22159, 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93949, 93967, 93971, 93979, 93983, 93997, 94007, 94009, 94033, 94049, 94057, 94063, 94079, 94099, 94109, 94111, 94117, 94121, 94151, 94153, 94169, 94201, 94207, 94219, 94229, 94253, 94261, 94273, 94291, 94307, 94309, 94321, 94327, 94331, 94343, 94349, 94351, 94379, 94397, 94399, 94421, 94427, 94433, 94439, 94441, 94447, 94463, 94477, 94483, 94513, 94529, 94531, 94541, 94543, 94547, 94559, 94561, 94573, 94583, 94597, 94603, 94613, 94621, 94649, 94651, 94687, 94693, 94709, 94723, 94727, 94747, 94771, 94777, 94781, 94789, 94793, 94811, 94819, 94823, 94837, 94841, 94847, 94849, 94873, 94889, 94903, 94907, 94933, 94949, 94951, 94961, 94993, 94999, 95003, 95009, 95021, 95027, 95063, 95071, 95083, 95087, 95089, 95093, 95101, 95107, 95111, 95131, 95143, 95153, 95177, 95189, 95191, 95203, 95213, 95219, 95231, 95233, 95239, 95257, 95261, 95267, 95273, 95279, 95287, 95311, 95317, 95327, 95339, 95369, 95383, 95393, 95401, 95413, 95419, 95429, 95441, 95443, 95461, 95467, 95471, 95479, 95483, 95507, 95527, 95531, 95539, 95549, 95561, 95569, 95581, 95597, 95603, 95617, 95621, 95629, 95633, 95651, 95701, 95707, 95713, 95717, 95723, 95731, 95737, 95747, 95773, 95783, 95789, 95791, 95801, 95803, 95813, 95819, 95857, 95869, 95873, 95881, 95891, 95911, 95917, 95923, 95929, 95947, 95957, 95959, 95971, 95987, 95989, 96001, 96013, 96017, 96043, 96053, 96059, 96079, 96097, 96137, 96149, 96157, 96167, 96179, 96181, 96199, 96211, 96221, 96223, 96233, 96259, 96263, 96269, 96281, 96289, 96293, 96323, 96329, 96331, 96337, 96353, 96377, 96401, 96419, 96431, 96443, 96451, 96457, 96461, 96469, 96479, 96487, 96493, 96497, 96517, 96527, 96553, 96557, 96581, 96587, 96589, 96601, 96643, 96661, 96667, 96671, 96697, 96703, 96731, 96737, 96739, 96749, 96757, 96763, 96769, 96779, 96787, 96797, 96799, 96821, 96823, 96827, 96847, 96851, 96857, 96893, 96907, 96911, 96931, 96953, 96959, 96973, 96979, 96989, 96997, 97001, 97003, 97007, 97021, 97039, 97073, 97081, 97103, 97117, 97127, 97151, 97157, 97159, 97169, 97171, 97177, 97187, 97213, 97231, 97241, 97259, 97283, 97301, 97303, 97327, 97367, 97369, 97373, 97379, 97381, 97387, 97397, 97423, 97429, 97441, 97453, 97459, 97463, 97499, 97501, 97511, 97523, 97547, 97549, 97553, 97561, 97571, 97577, 97579, 97583, 97607, 97609, 97613, 97649, 97651, 97673, 97687, 97711, 97729, 97771, 97777, 97787, 97789, 97813, 97829, 97841, 97843, 97847, 97849, 97859, 97861, 97871, 97879, 97883, 97919, 97927, 97931, 97943, 97961, 97967, 97973, 97987, 98009, 98011, 98017, 98041, 98047, 98057, 98081, 98101, 98123, 98129, 98143, 98179, 98207, 98213, 98221, 98227, 98251, 98257, 98269, 98297, 98299, 98317, 98321, 98323, 98327, 98347, 98369, 98377, 98387, 98389, 98407, 98411, 98419, 98429, 98443, 98453, 98459, 98467, 98473, 98479, 98491, 98507, 98519, 98533, 98543, 98561, 98563, 98573, 98597, 98621, 98627, 98639, 98641, 98663, 98669, 98689, 98711, 98713, 98717, 98729, 98731, 98737, 98773, 98779, 98801, 98807, 98809, 98837, 98849, 98867, 98869, 98873, 98887, 98893, 98897, 98899, 98909, 98911, 98927, 98929, 98939, 98947, 98953, 98963, 98981, 98993, 98999, 99013, 99017, 99023, 99041, 99053, 99079, 99083, 99089, 99103, 99109, 99119, 99131, 99133, 99137, 99139, 99149, 99173, 99181, 99191, 99223, 99233, 99241, 99251, 99257, 99259, 99277, 99289, 99317, 99347, 99349, 99367, 99371, 99377, 99391, 99397, 99401, 99409, 99431, 99439, 99469, 99487, 99497, 99523, 99527, 99529, 99551, 99559, 99563, 99571, 99577, 99581, 99607, 99611, 99623, 99643, 99661, 99667, 99679, 99689, 99707, 99709, 99713, 99719, 99721, 99733, 99761, 99767, 99787, 99793, 99809, 99817, 99823, 99829, 99833, 99839, 99859, 99871, 99877, 99881, 99901, 99907, 99923, 99929, 99961, 99971, 99989, 99991]
[n, k] = [int(i) for i in input().split()]
p = []
try:
	while len(p) != k - 1:
		for i in prime:
			if n % i == 0:
				p.append(i)
				n = n // i
				if n <= 1 or n in prime:
					3 / 0
				break
except ZeroDivisionError:
	pass
if len(p) != k - 1 or n == 1:
	print(-1)
else:
	p.append(n)
	print(' '.join([str(i) for i in p]))


import sys
import math
(n, k) = map(int, input().split())
realn = n
sq = int(math.sqrt(n))
cnt = 0
ans = []
for i in range(2, sq + 1):
	while n % i == 0:
		n //= i
		ans.append(i)
if n > 1:
	ans.append(n)
if len(ans) < k:
	print(-1)
	sys.exit()
else:
	cur = 1
	for i in range(k - 1):
		print(ans[i], end=' ')
		cur *= ans[i]
	print(realn // cur)


from math import sqrt

def delit(n, k):
	f = list()
	for i in range(2, int(sqrt(n)) + 1):
		if n % i == 0:
			while n % i == 0:
				f.append(i)
				n //= i
	if n != 1:
		f.append(n)
	if k > len(f):
		return (-1,)
	result = 1
	for i in range(k - 1, len(f)):
		result *= f[i]
	return (f[0:k - 1], result)
(N, K) = [int(j) for j in input().split()]
if len(delit(N, K)) == 1:
	print(*delit(N, K))
else:
	print(*delit(N, K)[0], delit(N, K)[1])


import sys
import math
import itertools
import functools
import collections
import operator
import fileinput
import copy
ORDA = 97

def ii():
	return int(input())

def mi():
	return map(int, input().split())

def li():
	return [int(i) for i in input().split()]

def lcm(a, b):
	return abs(a * b) // math.gcd(a, b)

def revn(n):
	return str(n)[::-1]

def dd():
	return collections.defaultdict(int)

def ddl():
	return collections.defaultdict(list)

def sieve(n):
	if n < 2:
		return list()
	prime = [True for _ in range(n + 1)]
	p = 3
	while p * p <= n:
		if prime[p]:
			for i in range(p * 2, n + 1, p):
				prime[i] = False
		p += 2
	r = [2]
	for p in range(3, n + 1, 2):
		if prime[p]:
			r.append(p)
	return r

def divs(n, start=2):
	r = []
	for i in range(start, int(math.sqrt(n) + 1)):
		if n % i == 0:
			if n / i == i:
				r.append(i)
			else:
				r.extend([i, n // i])
	return r

def divn(n, primes):
	divs_number = 1
	for i in primes:
		if n == 1:
			return divs_number
		t = 1
		while n % i == 0:
			t += 1
			n //= i
		divs_number *= t

def prime(n):
	if n == 2:
		return True
	if n % 2 == 0 or n <= 1:
		return False
	sqr = int(math.sqrt(n)) + 1
	for d in range(3, sqr, 2):
		if n % d == 0:
			return False
	return True

def convn(number, base):
	new_number = 0
	while number > 0:
		new_number += number % base
		number //= base
	return new_number

def cdiv(n, k):
	return n // k + (n % k != 0)

def ispal(s):
	for i in range(len(s) // 2 + 1):
		if s[i] != s[-i - 1]:
			return False
	return True

def main():
	(n, k) = mi()
	lst = []
	if k == 1:
		print(n)
		exit(0)
	if prime(n) and k >= 2:
		print(-1)
		exit(0)
	i = 2
	while n > 1:
		if n % i == 0:
			while n % i == 0:
				lst.append(i)
				n //= i
		i += 1
	if k > len(lst):
		print(-1)
	elif k == len(lst):
		print(*lst)
	else:
		print(*lst[:k - 1], math.prod(lst[k - 1:]))
main()


from itertools import combinations
import math
(num, k) = map(int, input().split())
result = []
counter = 1
while num % 2 == 0:
	result.append(2)
	num /= 2
for i in range(3, int(num ** 0.5) + 1, 2):
	while num % i == 0:
		result.append(i)
		num /= i
if num > 2:
	result.append(num)
if len(result) < k:
	print(-1)
	exit(0)
for i in range(k - 1):
	print(result[i], end=' ')
for i in range(k - 1, len(result)):
	counter *= result[i]
print(int(counter), end=' ')


(k, l) = map(int, input().split())
if l == 1:
	print(k)
	quit()
liste = [k]
for i in range(1, l):
	for i in range(2, int(k ** (1 / 2)) + 1):
		if k % i == 0:
			liste.append(i)
			k //= i
			break
liste.pop(0)
liste.append(k)
if len(liste) == l:
	print(*liste)
else:
	print(-1)


(a, b) = map(int, input().split())
k = 0
res = []
for i in range(2, a // 2 + 1):
	while a % i == 0:
		if a == 0:
			print(-1)
			exit(0)
		if k == b - 1:
			break
		res.append(i)
		a = a // i
		k += 1
	if k == b - 1:
		break
if a - 1:
	res.append(a)
if len(res) == b:
	for i in res:
		print(i, end=' ')
else:
	print(-1)


(n, k) = map(int, input().split())
i = 2
c = 0
f = 0
l = []
p = 0
if k == 1:
	print(n)
else:
	while 1:
		if n % i == 0:
			c += 1
			l.append(i)
			if n == i and c < k:
				print('-1')
				break
			if c == k - 1:
				p = 1
				break
			n = n // i
		else:
			i += 1
if p == 1:
	for j in l:
		print(j, end=' ')
	print(n // i)


import sys, math
(n, k) = map(int, sys.stdin.readline().split())
b = []
p = math.floor(math.sqrt(n))
for i in range(2, p + 2):
	if k == 1:
		b.append(n)
		break
	elif n % i == 0:
		while n % i == 0:
			k -= 1
			b.append(i)
			n //= i
			if k == 1:
				break
if n <= 1 or k != 1:
	print('-1')
else:
	p = len(b)
	for i in range(0, p):
		print(b[i], end=' ')
print()


[n, k] = [int(i) for i in input().split()]
d = 2
ds = []
while len(ds) < k - 1 and n > 1:
	while n % d != 0:
		d += 1
	ds.append(d)
	n = n // d
if n > 1:
	ds.append(n)
if len(ds) == k:
	for d in ds:
		print(d, end=' ')
else:
	print(-1)


def prod(a):
	ans = 1
	for i in a:
		ans *= i
	return ans
(n, k) = map(int, input().split())
d = 2
res = []
size = 0
while d * d <= n:
	while n % d == 0:
		res.append(d)
		size += 1
		n //= d
	d += 1
if n != 1:
	res.append(n)
	size += 1
if size < k:
	print(-1)
else:
	print(*res[:k - 1], prod(res[k - 1:]))


(Number, CountNum) = [int(i) for i in input().split()]
Exit = []
d = 2
while d * d <= Number:
	if len(Exit) == CountNum - 1:
		break
	if Number % d == 0:
		Exit.append(d)
		Number //= d
	else:
		d += 1
Exit.append(Number)
if len(Exit) < CountNum:
	print(-1)
else:
	print(*Exit)


(n, k) = map(int, input().split())
g = []
for i in range(k - 1):
	for j in range(2, n):
		if n % j == 0:
			n //= j
			g.append(str(j))
			break
g.append(str(n))
if len(g) == k:
	print(' '.join(map(str, g)))
else:
	print(-1)


import math
(n, k) = map(int, input().split())
factors = [n]
flag = 0
while len(factors) != k:
	temp = factors.pop()
	flag = 0
	if temp == 2 or temp == 3 or temp == 5 or (temp == 7):
		break
	for i in range(2, int(math.sqrt(temp)) + 1):
		if temp % i == 0:
			flag = 1
			factors.append(i)
			factors.append(temp // i)
			break
	if flag == 0:
		break
if flag == 0 and k != 1:
	print(-1)
else:
	print(*factors)


(n, k) = map(int, input().split())
m = 2
k_list = []
while m <= n:
	if len(k_list) == k - 1:
		k_list.append(n)
		print(' '.join(map(str, k_list)))
		exit()
	if n % m == 0:
		n //= m
		k_list.append(m)
		continue
	m += 1
print(-1)


(n, k) = input().strip().split(' ')
(n, k) = [int(n), int(k)]
fac = []
div = n
num = 2
while div > 0 and num < n // 2 + 1:
	if div % num == 0:
		fac.append(num)
		div = div // num
		num = 2
	else:
		num += 1
if len(fac) == 0:
	fac.append(n)
if len(fac) > k:
	prod = 1
	for i in range(k - 1):
		prod *= fac[i]
	numl = n // prod
	fac1 = fac[:k - 1] + [numl]
	print(*fac1)
elif len(fac) == k:
	print(*fac)
else:
	print(-1)


import math
from sys import stdin, stdout
(n, k) = stdin.readline().split()
n = int(n)
nn = n
k = int(k)
isPrime = [True] * 100001
isPrime[0] = False
isPrime[1] = False
for i in range(2, 400):
	if isPrime[i]:
		for j in range(2 * i, 100001, i):
			isPrime[j] = False

def fac2(n):
	factors = []
	if isPrime[n] == True:
		return [-1, -1]
	for i in range(2, int(n ** 0.5 + 1) + 1):
		if n % i == 0 and n != i:
			factors.append(i)
			factors.append(n // i)
			n //= i
	if n > 1:
		factors.append(n)
	return factors
fac = fac2(n)
fac.sort()
ans = [fac[0], fac[-1]]
while len(ans) < k:
	x = ans[-1]
	if x == -1:
		break
	fac = fac2(x)
	ans[-1] = fac[0]
	ans.append(fac[1])
if k == 1:
	stdout.write(str(nn))
elif ans[-1] == -1:
	stdout.write('-1')
else:
	for i in ans:
		stdout.write(str(i) + ' ')


import sys
(n, k) = map(int, sys.stdin.readline().split())
cnt = 0
res = []
while n > 1:
	if cnt == k - 1:
		break
	for i in range(2, n + 1):
		if n % i == 0:
			res.append(i)
			cnt += 1
			n //= i
			break
if n > 1:
	res.append(n)
if len(res) != k:
	print(-1)
else:
	print(' '.join(map(str, res)))


def kfactorization(n, qtd):
	if n == 1 or qtd == 0:
		return {-1}
	if qtd == 1:
		return [n]
	if (n / 2).is_integer():
		result = [2]
		result.extend(kfactorization(int(n / 2), qtd - 1))
		if -1 in result:
			return [-1]
		return result
	for i in range(3, n, 2):
		if (n / i).is_integer():
			result = [i]
			result.extend(kfactorization(int(n / i), qtd - 1))
			if -1 in result:
				return [-1]
			return result
	return [-1]
(n, q) = input().split(' ')
result = kfactorization(int(n), int(q))
text = ''
for i in result:
	text += str(i) + ' '
print(text)


(n, k) = map(int, input().split())
arr = []
og = n
i = 2
while i * i <= n:
	while n % i == 0:
		arr.append(i)
		n = n // i
	i += 1
if len(arr) >= k - 1:
	temp = arr[:k - 1]
	this = 1
	for i in temp:
		this *= i
	if og // this != 1:
		print(*arr[:k - 1], og // this)
	else:
		print(-1)
else:
	print(-1)


(n, k) = [int(i) for i in input().split()]
l = []

def f(n):
	if n == 1:
		return
	for i in range(2, n + 1):
		if n % i == 0:
			l.append(i)
			f(n // i)
			return
f(n)
if k > len(l):
	print(-1)
else:
	for i in range(k - 1):
		print(l[i], end=' ')
	t = 1
	for i in range(k - 1, len(l)):
		t = t * l[i]
	print(t)


(n, k) = (int(x) for x in input().split(' '))
m = 2
count = 0
list = []
while n >= m and count < k - 1:
	p = n % m
	if p == 0:
		list.append(m)
		count = count + 1
		n = n // m
	else:
		m = m + 1
if count == k - 1 and n != 1:
	for i in range(0, k - 1):
		print(list[i], end=' ')
	print(n)
else:
	print(-1)


import math

def primeFactors(n):
	a = []
	while n % 2 == 0:
		a.append(2)
		n = n / 2
	for i in range(3, int(math.sqrt(n)) + 1, 2):
		while n % i == 0:
			a.append(int(i))
			n = n / i
	if n > 2:
		a.append(int(n))
	return a
(n, k) = list(map(int, input().split()))
a = primeFactors(n)
if k > len(a):
	print(-1)
else:
	b = []
	c = 1
	for i in range(len(a)):
		if i < k - 1:
			b.append(a[i])
		else:
			c = c * a[i]
	if c != 1:
		b.append(c)
	print(*b)


import math
x = list(map(int, input().split()))

def primeFactors(n):
	count = 0
	countt = x[-1]
	while n % 2 == 0:
		count += 1
		if count > countt - 1:
			break
		l.append(2)
		n = n / 2
	for i in range(3, int(math.sqrt(n)) + 1, 2):
		while n % i == 0:
			count += 1
			if count > countt - 1:
				break
			l.append(i)
			n /= i
	if n >= 2:
		count += 1
		l.append(int(n))
l = []
primeFactors(x[0])
if len(l) != x[-1]:
	print(-1)
else:
	for i in l:
		print(i, end=' ')
	print()


def Isprime(n):
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return (0, i)
	return (1, -999)
(num, no) = list(map(int, input().split()))
i = 0
arr = []
while i < no - 1:
	(x, y) = Isprime(num)
	if x == 0:
		arr.append(y)
	else:
		break
	num = num / y
	i += 1
arr.append(num)
if i == no - 1:
	for i in arr:
		print(int(i), end=' ')
else:
	print(-1)


import sys
import collections

def main():
	(n, k) = map(int, sys.stdin.readline().split())
	ans = []
	i = 2
	aux = n
	while i * i <= n:
		while k > 1 and aux % i == 0:
			aux //= i
			ans.append(i)
			k -= 1
		i += 1
	if k > 1 or aux == 1:
		print(-1)
	else:
		ans.append(aux)
		for i in ans:
			print(str(i), end=' ')
main()


from functools import reduce
from operator import mul

def primes(n):
	n += 1
	if n < 3:
		return []
	if n < 6:
		return {3: [2], 4: [2, 3], 5: [2, 3]}[n]
	correction = n % 6 > 1
	n = {0: n, 1: n - 1, 2: n + 4, 3: n + 3, 4: n + 2, 5: n + 1}[n % 6]
	sieve = [True] * (n // 3)
	sieve[0] = False
	for i in range(int(n ** 0.5) // 3 + 1):
		if sieve[i]:
			k = 3 * i + 1 | 1
			sieve[k * k // 3::2 * k] = [False] * ((n // 6 - k * k // 6 - 1) // k + 1)
			sieve[(k * k + 4 * k - 2 * k * (i & 1)) // 3::2 * k] = [False] * ((n // 6 - (k * k + 4 * k - 2 * k * (i & 1)) // 6 - 1) // k + 1)
	return [2, 3] + [3 * i + 1 | 1 for i in range(1, n // 3 - correction) if sieve[i]]

def fact(n):
	factors = []
	for p in primes(n // 2):
		while not n % p:
			factors.append(p)
			n //= p
	if n > 1:
		factors.append(n)
	return factors
(n, k) = [int(i) for i in input().split()]
n = fact(n)
if len(n) < k:
	print(-1)
else:
	print(' '.join((str(i) for i in n[:k - 1])), reduce(mul, n[k - 1:]))


import math
(n, k) = map(int, input().split())
a = []
temp = n
for i in range(2, n + 1):
	if n <= 1 or len(a) == k:
		break
	while n % i == 0:
		n = n // i
		a.append(i)
if len(a) < k:
	exit(print('-1'))
ans = 1
for i in range(k - 1):
	ans *= a[i]
	print(a[i], end=' ')
print(temp // ans)


import os
import sys
from io import BytesIO, IOBase

def primefac(n):
	prime = []
	while n % 2 == 0:
		prime.append(2)
		n = n // 2
	p = n ** 0.5
	p = int(p) + 1
	for i in range(3, p):
		while n % i == 0:
			prime.append(i)
			n = n // i
	if n > 2:
		prime.append(n)
	return prime

def main():
	(n, k) = list(map(int, input().split()))
	arr = primefac(n)
	if len(arr) < k:
		print(-1)
	else:
		ans = []
		for i in range(k - 1):
			ans.append(arr[i])
		cnt = 1
		for i in range(k - 1, len(arr)):
			cnt = cnt * arr[i]
		ans.append(cnt)
		print(*ans)
BUFSIZE = 8192

class FastIO(IOBase):
	newlines = 0

	def __init__(self, file):
		self._fd = file.fileno()
		self.buffer = BytesIO()
		self.writable = 'x' in file.mode or 'r' not in file.mode
		self.write = self.buffer.write if self.writable else None

	def read(self):
		while True:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			if not b:
				break
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines = 0
		return self.buffer.read()

	def readline(self):
		while self.newlines == 0:
			b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
			self.newlines = b.count(b'\n') + (not b)
			ptr = self.buffer.tell()
			(self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr))
		self.newlines -= 1
		return self.buffer.readline()

	def flush(self):
		if self.writable:
			os.write(self._fd, self.buffer.getvalue())
			(self.buffer.truncate(0), self.buffer.seek(0))

class IOWrapper(IOBase):

	def __init__(self, file):
		self.buffer = FastIO(file)
		self.flush = self.buffer.flush
		self.writable = self.buffer.writable
		self.write = lambda s: self.buffer.write(s.encode('ascii'))
		self.read = lambda : self.buffer.read().decode('ascii')
		self.readline = lambda : self.buffer.readline().decode('ascii')
(sys.stdin, sys.stdout) = (IOWrapper(sys.stdin), IOWrapper(sys.stdout))
input = lambda : sys.stdin.readline().rstrip('\r\n')
main()


(n, k) = (int(x) for x in input().split(' '))
fac = [0]
for i in range(2, n + 1):
	while n % i == 0:
		fac.append(i)
		n = n / i
	if n == 1:
		break
l = len(fac)
if l - 1 < k:
	print(-1)
else:
	for i in range(1, k):
		print(fac[i], end=' ')
	t = 1
	for i in range(k, l):
		t = t * fac[i]
	print(t)


from math import sqrt
(n, k) = map(int, input().split())

def prime_fact(n):
	a = []
	while n % 2 == 0:
		n = n // 2
		a.append(2)
	for i in range(3, int(sqrt(n)) + 1, 2):
		while n % i == 0:
			n = n // i
			a.append(i)
	if n > 2:
		a.append(n)
	return a
a = prime_fact(n)
p = 1
if k > len(a):
	print(-1)
else:
	for i in a[k - 1:]:
		p = p * i
	print(*a[:k - 1], p)


(n, k) = map(int, input().split())
A = []
while n > 1:
	i = 2
	while n % i > 0:
		i += 1
		if i * i > n:
			i = n
	A += [i]
	n //= i
if len(A) < k:
	print(-1)
else:
	for i in range(k - 1):
		print(A[i], end=' ')
	ans = 1
	for i in range(k - 1, len(A)):
		ans *= A[i]
	print(ans)


(n, k) = map(int, input().split())
if n == 2:
	if k == 1:
		print(2)
	else:
		print(-1)
	exit()
elif n == 3:
	if k == 1:
		print(3)
	else:
		print(-1)
	exit()
i = 2
m = n
cnt = 1
res = []
while i * i <= n:
	if m % i == 0:
		while cnt < k and m % i == 0:
			m //= i
			res.append(i)
			cnt += 1
	if cnt == k and m > 1:
		res.append(m)
		print(*res)
		exit()
	i += 1
print(-1)


(n, k) = map(int, input().split())
pp = []
l = 0
while k > 0:
	if n == 1:
		l += 1
		break
	for i in range(2, n + 1):
		if k == 1:
			pp.append(str(n))
			k -= 1
			break
		elif n % i == 0:
			k -= 1
			n = n // i
			pp.append(str(i))
			break
print(' '.join(pp) if l == 0 else '-1')


(n, k) = map(int, input().split())
j = 2
d = []
while j * j <= n:
	if n % j == 0:
		while n % j == 0:
			if len(d) == k - 1:
				break
			d.append(j)
			n //= j
			if len(d) == k - 1:
				break
	j += 1
	if len(d) == k - 1:
		break
if n == 1:
	print('-1')
elif len(d) != k - 1:
	print(-1)
else:
	d.append(n)
	for j in range(len(d)):
		print(d[j], end=' ')
	print('')


from collections import deque

def fact(n):
	ans = deque()
	i = 2
	while i <= n:
		while n % i == 0:
			ans.append(i)
			n //= i
		i += 1
	if n > 1:
		ans.append(n)
	return ans
(n, k) = map(int, input().split())
l = fact(n)
le = len(l)
while le > k:
	f = l.pop()
	s = l.pop()
	l.append(f * s)
	le -= 1
if le == k:
	print(*l)
else:
	print('-1')


def factorize(num):
	divisors = []
	i = 2
	while num > 1:
		while num % i == 0:
			divisors.append(i)
			num /= i
		i += 1
	return divisors
(n, k) = map(int, input().strip().split())
divisors = factorize(n)
if k > len(divisors):
	print(-1)
else:
	for i in range(0, k - 1):
		print(divisors[i], end=' ')
	result = 1
	for i in range(k - 1, len(divisors)):
		result *= divisors[i]
	print(result)


(n, k) = input().split()
n = int(n)
k = int(k)
f = []
c = 0
i = 2
while i <= n:
	while n % i == 0:
		n /= i
		f.append(i)
		c += 1
	i += 1
if c < k:
	print(-1)
else:
	slice1 = f[:k - 1]
	for num1 in slice1:
		print(num1, end=' ')
	slice2 = f[-(c - (k - 1)):]
	sum = 1
	for num in slice2:
		sum *= num
	print(sum)


import sys, math, queue
MOD = 10 ** 9 + 7
sys.setrecursionlimit(1000000)
(n, k) = map(int, input().split())
i = 2
f = []
while n != 1:
	while n % i == 0:
		f.append(i)
		n = n // i
	i += 1
if len(f) < k:
	print(-1)
	exit()
while len(f) != k:
	x = f.pop()
	f[-1] *= x
print(*f)


from math import sqrt
[n, k] = map(int, input().strip().split())

def solve(n, k):
	if k == 1:
		return [n]
	m = sqrt(n)
	res = []
	d = 2
	while d <= m and len(res) < k - 1 and (n > 1):
		if n % d == 0:
			res.append(d)
			n //= d
		else:
			d += 1
	if len(res) == k - 1 and n > 1:
		res.append(n)
	else:
		res = [-1]
	return res
kf = solve(n, k)
print(' '.join(map(str, kf)))


maxn = 100005
sm = list(range(maxn))
for i in range(2, maxn):
	if sm[i] == i:
		for j in range(i * 2, maxn, i):
			sm[j] = min(sm[j], i)
(n, k) = map(int, input().split())
ans = []
tn = n
while sm[tn] != tn:
	ans.append(sm[tn])
	tn //= sm[tn]
ans.append(tn)
if len(ans) < k:
	print(-1)
else:
	for i in range(k - 1):
		print(ans[i], end=' ')
		n //= ans[i]
	print(n, end=' ')


[n, k] = list(map(int, input().split()))
fac = []
x = 2
while x <= n:
	while n % x == 0:
		fac.append(x)
		n = n // x
	x = x + 1
if len(fac) < k:
	print('-1')
	exit(0)
res = []
for i in range(k - 1):
	res.append(fac[i])
rem = 1
for i in range(k - 1, len(fac)):
	rem *= fac[i]
res.append(rem)
print(' '.join(map(str, res)))


import math
(n, k) = [int(s) for s in input().split(' ')]
result = []

def find(n, i):
	if len(result) == k - 1:
		result.append(n)
		for i in result:
			print(i, end=' ')
		return
	if i > math.sqrt(n):
		if len(result) == k:
			for i in result:
				print(i, ' ')
		else:
			print(-1)
	elif math.gcd(n, i) == i:
		result.append(i)
		find(int(n / i), 2)
	else:
		find(n, i + 1)
find(n, 2)


import sys
(n, k) = [int(x) for x in sys.stdin.readline().split()]
counter = 1
tobeprinted = []
while counter != k:
	for i in range(2, int(n) + 1):
		if n % i == 0:
			tobeprinted.append(i)
			n = n // i
			counter += 1
			break
	if n == 1:
		print('-1')
		exit()
tobeprinted.append(n)
print(*tobeprinted)


(n, k) = list(map(int, input().strip().split()))
j = 2
res = []
while n > 1:
	if n % j == 0:
		res.append(j)
		n = n // j
	else:
		j += 1
if len(res) < k:
	print(-1)
else:
	new = res[:k - 1]
	p = 1
	for i in range(k - 1, len(res)):
		p *= res[i]
	new.append(p)
	print(' '.join(map(str, new)))


from math import sqrt, ceil
ls = []

def primeFactors(n):
	while n % 2 == 0:
		ls.append(2)
		n = n / 2
	for i in range(3, ceil(sqrt(n)) + 1, 2):
		while n % i == 0:
			ls.append(int(i))
			n /= i
	if n > 2:
		ls.append(int(n))
(n, k) = map(int, input().split())
primeFactors(n)
ln = len(ls)
if ln < k:
	print(-1)
elif ln == k:
	print(*ls)
else:
	tmp = ls[k - 1]
	for i in range(k, ln):
		tmp *= ls[i]
	print(*ls[:k - 1], tmp)


(n, k) = map(int, input().split())
nn = n
a = []
i = 2
while i <= n:
	while n % i == 0:
		a.append(i)
		n //= i
	i += 1
if k > len(a):
	print(-1)
else:
	i = 0
	p = 1
	while i < k - 1:
		p *= a[i]
		i += 1
	print(' '.join([str(i) for i in a[:k - 1]]), nn // p)


(n, k) = map(int, input().split())
p = []
while n % 2 == 0:
	n //= 2
	p.append(2)
for x in range(3, int(n ** 0.5) + 1, 2):
	while n % x == 0:
		n //= x
		p.append(x)
if n > 1:
	p.append(n)
if len(p) >= k:
	for i in range(k - 1):
		print(p[i], end=' ')
	prod = 1
	for j in range(k - 1, len(p)):
		prod *= p[j]
	print(prod)
else:
	print(-1)


import math
(orig, k) = map(int, input().split())
n = orig

def divisors(n):
	divs = []
	for i in range(2, int(math.sqrt(n)) + 1):
		if n % i == 0:
			divs.extend([i, n // i])
	return set(divs)
divs = list(sorted(divisors(n)))
facts = list()
for v in divs:
	while n != 0 and n % v == 0:
		n //= v
		facts.append(v)
	if n == 0:
		break
if k == 1:
	print(orig)
elif k > len(facts):
	print(-1)
else:
	ans = facts[:k - 1]
	add = 1
	for v in facts[k - 1:]:
		add *= v
	ans.append(add)
	print(*ans)


from functools import reduce

def isPrime(N):
	return False if any([not N % i for i in range(2, N)]) else True
(X, Answer, Sum, Number) = (list(map(int, input().split())), [], 1, 2)
if X[1] == 1:
	print(X[0])
	exit()
while X[0] != 1:
	if isPrime(Number):
		while X[0] % Number == 0:
			Answer.append(Number)
			X[0] /= Number
	Number += 1
if len(Answer) < X[1]:
	print(-1)
	exit()
print(*Answer[:X[1] - 1], reduce(lambda x, y: x * y, Answer[X[1] - 1:]))


def prime(n):
	d = 2
	res = []
	while d * d <= n:
		if n % d:
			d += 1
		else:
			res.append(d)
			n //= d
	res.append(n)
	return res
(n, k) = map(int, input().split())
p = prime(n)
if len(p) < k:
	print(-1)
else:
	for i in range(k - 1):
		print(p[i], end=' ')
	l = 1
	for i in range(k - 1, len(p)):
		l *= p[i]
	print(l)


(n, k) = [int(i) for i in input().split()]
multipliers = list()
while not len(multipliers) == k and (not n == 1):
	for i in range(2, n + 1):
		if n % i == 0:
			multipliers.append(i)
			n = int(n / i)
			break
if len(multipliers) == k:
	multipliers[-1] *= n
	multipliers = [str(i) for i in multipliers]
	output = ' '.join(multipliers)
else:
	output = '-1'
print(output)


def factor(n):
	tmp = n
	i = 2
	result = []
	while i * i <= n:
		if tmp % i == 0:
			tmp //= i
			result += [i]
		else:
			i += 1
	if tmp != 1:
		result += [tmp]
	return result
(n, k) = map(int, input().split())
n_fac = factor(n)
if len(n_fac) < k:
	print(-1)
else:
	pre = n_fac[:k - 1]
	tmp = 1
	for j in n_fac[k - 1:]:
		tmp *= j
	pre += [tmp]
	print(' '.join(map(str, pre)))


(n, k) = map(int, input().split())
arr = []
stor = []
i = 1
for j in range(2, n, 1):
	if n % j == 0:
		while n % j == 0 and i <= k - 1:
			arr.append(j)
			n //= j
			i += 1
for l in range(k - 1, k):
	if n != 1:
		arr.append(n)
if len(arr) < k:
	print('-1')
else:
	print(*arr)