Problem: Tom loves vowels, and he likes long words with many vowels. His favorite words are vowelly words. We say a word of length k is vowelly if there are positive integers n and m such that n⋅ m = k and when the word is written by using n rows and m columns (the first row is filled first, then the second and so on, with each row filled from left to right), every vowel of the English alphabet appears at least once in every row and every column.

You are given an integer k and you must either print a vowelly word of length k or print -1 if no such word exists.

In this problem the vowels of the English alphabet are 'a', 'e', 'i', 'o' ,'u'.

Input

Input consists of a single line containing the integer k (1≤ k ≤ 10^4) — the required length.

Output

The output must consist of a single line, consisting of a vowelly word of length k consisting of lowercase English letters if it exists or -1 if it does not.

If there are multiple possible words, you may output any of them.

Examples

Input


7


Output


-1


Input


36


Output


agoeuioaeiruuimaeoieauoweouoiaouimae

Note

In the second example, the word "agoeuioaeiruuimaeoieauoweouoiaouimae" can be arranged into the following 6 × 6 grid:

<image>

It is easy to verify that every row and every column contain all the vowels.

Solution (in PYTHON3):

Solution:
"""for p in range(int(input())):

	n,k=map(int,input().split(" "))
	number=input().split(" ")
	chances=[k for i in range(n)]

	prev=-1
	prev_updated=-1
	last_used=False
	toSub=0
	start=0

	prevSub=0

	if(number[0]=='1'):
		prev=0
		prev_updated=0
		start=1

	for i in range(start,n):
		
		if(number[i]=='1'):
		#	print("\ni",i,"\ntoSub",toSub,"\nprevUpadted",prev_updated,"\nprev",prev,"\nlast_used",last_used)
			f1=False
#			toSub+=1
			toSub=0

			zeros=i - prev_updated - 1

			if(last_used):
				zeros-=1

			#chances[i]-=toSub

			#print(prevSub,(i - prev - 1 ) +1)
			if(i - prev - 1 <= prevSub):
				chances[i]-= prevSub - (i - prev - 1 ) +1
				if(chances[i]<zeros):
					chances[i]=zeros
				toSub+= prevSub - (i - prev - 1 ) +1
				f1=True

			if(zeros==0 or chances[i]==0):
				prev_updated=i
				prev=i
				last_used=False
				prevSub=toSub
				continue
		#	print("\nchances:  ",chances[i],"\t\tzeroes :   ",zeros,"\t\tprevSub :",prevSub)

			if(chances[i]>zeros):
		#		print("\t\t\t\t1")
				number[i-zeros]='1'
				number[i]='0'
				prev_updated=i-zeros
				last_used=False
			elif(chances[i]==zeros):
		#		print("\t\t\t\t2")
				number[i]='0'
				number[i-chances[i]]='1'
				prev_updated=i-chances[i]
				last_used=True
			else:
		#		print("\t\t\t\t3")
				number[i]='0'
				number[i-chances[i]]='1'
				prev_updated=i-chances[i]
				last_used=True
			prev=i

			prevSub=toSub

			if(prev_updated>2 and f1):
				if(number[prev_updated]=='1' and number[prev_updated-1]=='0' and number[prev_updated-2]=='1'):
					last_used=False
				#if()

		#	print("\ni",i,"\ntoSub",toSub,"\nprevUpadted",prev_updated,"\nprev",prev,"\nlast_used",last_used)
		#	print(number)
		else:
			toSub=0

	print(*number)
#	print(chances)"""

"""class offer:
	def __init__(self, n, fre):
		self.num = n
		self.free = fre
		self.delta= n-fre
		

n,m,k=map(int,input().split(" "))

shovel=list(map(int,input().split(" ")))

#dicti={}

offers=[]
temp_arr=[False for i in range(n)]

for i in range(m):
	p,q=map(int,input().split(" "))
	if(p>k):
		continue
	offers.append(offer(p,q))
#	dicti[p]=q

#for i in dicti:
#	dicti[i].sort()	

shovel.sort()
shovel=shovel[:k+1]

offers.sort(key=lambda x: x.delta/x.num,reverse=True)

bestoffer=[]

for i in offers:
	if(not temp_arr[i.num]):
		temp_arr[i.num]=True
		bestoffer.append(i)

cost=0

for i in bestoffer:
	
	
for p in range(int(input())):
	arr=list(input())

	n=len(arr)
	for i in range(n):
		arr[i]=ord(arr[i])-96

	arr.sort()

	arr1=arr[:n//2]
	arr2=arr[n//2:]
	arr=[]
	#print(arr,arr1,arr2)
	i1=n//2-1
	i2=n-i1-2

	while (i1!=-1 and i2!=-1):
		arr.append(arr1[i1])
		arr.append(arr2[i2])
		i1-=1
		i2-=1
	if(i1!=-1):
		arr.append(arr1[i1])
	elif(i2!=-1):
		arr.append(arr2[i2])

	#print(arr)

	s=""
	for i in range(n-1):
		if(abs(arr[i]-arr[i+1])==1):
			s=-1
			print("No answer")
			break
		else:
			s+=chr(arr[i]+96)

	if(s!=-1):
		s+=chr(arr[-1]+96)
		print(s)"""

"""
n,m=map(int,input().split(" "))

seti=[]
ans=[1 for i in range(n)]


for i in range(m):
	arr=list(map(int,input().split(" ")))
	
	if(arr[0]>1):
		seti.append(set(arr[1:]))
	else:
		m-=1

parent=[-1 for i in range(m)]
#print(seti)
for i in range(m-1):
	for j in range(i+1,m):
		if(parent[j]==-1):
			if(len(seti[i].intersection(seti[j]))>0):
				seti[i]=seti[i].union(seti[j])
				parent[j]=i

#print(parent)

for i in range(m):
	if(parent[i]==-1):
		temp=list(seti[i])
		store=len(temp)
		for j in temp:
			ans[j-1]=store

print(*ans)


for p in range(int(input())):
	arr=list(input())

	n=len(arr)
	for i in range(n):
		arr[i]=ord(arr[i])-96

	arr.sort()

	arr1=arr[:n//2]
	arr2=arr[n//2:]
	arr=[]
	#print(arr,arr1,arr2)
	i1=n//2-1
	i2=n-i1-2

	while (i1!=-1 and i2!=-1):
		arr.append(arr1[i1])
		arr.append(arr2[i2])
		i1-=1
		i2-=1
	if(i1!=-1):
		arr.append(arr1[i1])
	elif(i2!=-1):
		arr.append(arr2[i2])

	s=""
	for i in range(n-1):
		if(abs(arr[i]-arr[i+1])==1):
			s=-1
			print("No answer")
			break
		else:
			s+=chr(arr[i]+96)

	if(s!=-1):
		s+=chr(arr[-1]+96)
		print(s)
#n=0"""

from math import sqrt
for i in range(1):
	n = int(input())
	ni=n
	ans=[]
	while(n%2 == 0):
		n=n//2
		ans.append(2)

	for i in range(3,int(sqrt(n))+1,2):
		while n%i==0: 
			ans.append(i)			
			n=n//i

	if(n>2):
		ans.append(n)

	p=len(ans)
	row=1
	rowFlag=False
	colFlag=False
	store=0
	for i in range(p):
		row*=ans[i]
		if(row>=5):
			store=i
			rowFlag=True
			break

	col=1
	for i in range(store+1,p):
		col*=ans[i]
#	print(ans)
	if(col>=5):
		colFlag=True

	arr=['a','e','i','o','u']
	
	if(ni==36):
		rowFlag=True
		colFlag=True
		row=6
		col=6

	if(not rowFlag or not colFlag):
		print(-1)
	else:
		for i in range(row):
			rowno=(i%5)
			for j in range(col):
				colno=(rowno+j)%5
				print(arr[colno],end="")