One way to create a task is to learn from math. You can generate some random math statement or modify some theorems to get something new and build a new task from that.

For example, there is a statement called the "Goldbach's conjecture". It says: "each even number no less than four can be expressed as the sum of two primes". Let's modify it. How about a statement like that: "each integer no less than 12 can be expressed as the sum of two composite numbers." Not like the Goldbach's conjecture, I can prove this theorem.

You are given an integer n no less than 12, express it as a sum of two composite numbers.

Input

The only line contains an integer n (12 ≤ n ≤ 106).

Output

Output two composite integers x and y (1 < x, y < n) such that x + y = n. If there are multiple solutions, you can output any of them.

Examples

Input

12


Output

4 8


Input

15


Output

6 9


Input

23


Output

8 15


Input

1000000


Output

500000 500000

Note

In the first example, 12 = 4 + 8 and both 4, 8 are composite numbers. You can output "6 6" or "8 4" as well.

In the second example, 15 = 6 + 9. Note that you can't output "1 14" because 1 is not a composite number.
# n=int(input())
# if(n%2==0):
#     print("YES")
# else:
#     print("NO")
# for _ in range(int(input())):
#     n=(input())
#     if(len(n)<=10):
#         print(n)
#     else:
#         print(n[0]+str(len(n)-2)+n[len(n)-1])
# a=0
# for _ in range(int(input())):
#     n=list(map(int,input().split()))
#     count=0
    
#     for i in range(len(n)):
#         if(n[i]==1):
#             count+=1
#         else:
#             count-=1
#     if(count>0):
#         a+=1
# print(a)
# n,m=map(int,input().split())
# a=list(map(int,input().split()))
# count=0
# for i in range(len(a)):
#     if(a[i]>=a[m-1] and a[i]>0):
#         count+=1
# print(count)
# n,m=map(int,input().split())
# # if((n*m)%2!=0):
# print((n*m)//2)
# # else:
# #     print((n*m)//2)\
# x=0
# for _ in range(int(input())):
#     n=input()
#     if(n=="X++" or n=="++X"):
#         x=x+1
#     else:
#         x=x-1
# print(x)
# n = input()
# m = input()
# n = n.lower()
# m = m.lower()
# if n == m:
#     print("0")
# elif n > m:
#     print('1')
# elif n <m:
#     print('-1')
# matrix=[]
# min=[]
# one_line=0
# one_column=0
# for l in range(0,5):
#     m=input().split()
#     for col,ele in enumerate()

# a = list(map(int,input().split('+')))
# a.sort()
# print('+'.join([str(c) for c in a]))
# n=list(input())
# # if(n[0].islower()):
#     n[0]=n[0].upper()
# else:
#     pass
# print("".join(str(x)for x in n))
# n=list(input())
# s=input()
# count=0
# for i in range(1,len(s)):
#     if(s[i]==s[i-1]):
#         count+=1
# print(count)
# v=["A","O","Y","E","U","I","a","i","e","o","u","y"]
# n=list(input())
# x=[]
# for i in range(len(n)):
#     if n[i] not in v:
#         x.append(n[i])
# print("."+".".join(str(y.lower())for y in x))
# a=[]
# b=[]
# c=[]
# for _ in range(int(input())):
#     x,y,z=map(int,input().split())
#     a.append(x)
#     b.append(y)
#     c.append(z)
# print("YES" if sum(a)==sum(b)==sum(c)== 0 else "NO") 
# m = "hello"
# n=input()
# j=0
# flag=0
# for i in range(len(n)):
#     if(n[i]==m[j]):
#         j=j+1
#     if(j==5):
#         flag=1
#         break
# if(flag==1):
#     print("YES")
# else:
#     print("NO")
# a=set(list(input()))
# print("CHAT WITH HER!" if len(set(list(input())))%2==0 else "IGNORE HIM!")
# k,n,w=map(int,input().split())
# sum=0
# a=[]
# for i in range(w+1):
#     sum+=k*i
# print((sum-n) if sum>n else 0)
# m,n = 0,0
# for i in range(5):
# 	a = map(int,input().split())
# 	for j in range(5):
# 		if a[j]!=0:
# 			m = i
# 			n = j
# 			break
# print(abs(m-2)+abs(n-2))
# l,b=map(int,input().split())
# c=0
# while(l<=b):
# 	l=l*3
# 	b=b*2
# 	c=c+1
# print(c)
# from math import ceil 
# n,m,a=map(int,input().split()) 
# # print(ceil(n/a),ceil(m/a))
# c=ceil(n/a)*ceil(m/a)  
# print(c) 
# n=int(input())
# if(n%4==0 or n%7==0 or n%44==0 or n%47==0 or n%74==0 or n%444==0 or n%447==0 or n%474==0 or n%477==0):
# 	print("YES")
# else:
# 	print("NO")
# def tramCapacity():
#     n = int(input().strip())
#     pout, pin = map(int, input().strip().split())
#     sm = pin
#     mx = pin
#     for i in range(n-1):
#         pout, pin = map(int, input().strip().split())
#         sm = sm - pout + pin
#         if sm > mx:
#             mx = sm
#     return mx

# print(tramCapacity())
# n,k=map(int,input().split())
# for i in range(k):
# 	if(str(n)[-1]=="0"):
# 		n=n//10
# 	else:
# 		n=n-1
# print(n)
# n=int(input())
# n=int(input())
# if(n%5==0):
# 	print(n//5)
# else:
# 	print((n//5)+1)
# n=int(input())
# if(n%2==0):
#     print(n//2)
# else:
#     print("-"+str(n-((n-1)//2)))
# n=int(input())
# arr=list(map(int,input().split()))
# sum=sum(arr)
# deno=len(arr)*100
# print(format(((sum/deno)*100),'.12f'))
# k=int(input())
# l=int(input())
# m=int(input())
# n=int(input())
# d=int(input())
# count=0
# # if(d%k==0):
# #     print(d)
# # elif(d%l==0):
# #     print(d//l)
# # elif(d%m==0):
# #     print(d//m)
# # elif(d%n==0):
# #     print(d//n)
# # else:
# for i in range(1,d+1):
#     if(i%k==0 or i%l==0 or i%m==0 or i%n==0):
#         count+=1
# print(count)

# a,b=map(int,input().split())
# # if(n%m==0):
# #     print(0)    
# # else:
# #     for i in range(m):
# #         n=n+i
# #         if(n%m==0):
# #             print(i-1)
# #             break
# #         else:
# #             continue
# x=((a+b)-1)/b
# print((b*x)-1)
# for _ in range(int(input())):
#     a, b = map(int,input().split(" "))
#     x=(a + b - 1) // b
#     # print(x)
#     print((b * x) - a)
# for _ in range(int(input())):
#     n=int(input())
#     print((n-1)//2)
n=int(input())
# n = int(input())
if n%2 == 0:
    print(8, n-8)
else:
    print(9, n-9)