Problem: 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.

Solution (in PYTHON3):

Solution:
# 8 5
#   10 9 8 7 7 7 5 5

##x = 0                                                 # NOT COMPETED PROBEM==NEXT ROUND                 #  1+2*3=7
##y=[]                                                  # NOT COMPETED PROBEM==NEXT ROUND                 #  1*(2+3)=5
##rks, pos = map(int, input().split())                  # NOT COMPETED PROBEM==NEXT ROUND                 #  1*2*3=6
##for _ in range(rks):                                  # NOT COMPETED PROBEM==NEXT ROUND                 #  (1+2)*3=9
##    a = int(input())                                  # NOT COMPETED PROBEM==NEXT ROUND
##    y.append(a)                                       # NOT COMPETED PROBEM==NEXT ROUND
##                                                      # NOT COMPETED PROBEM==NEXT ROUND
##while y[pos] >= y:
##    x += 1
##print(x)
#  floor      2.9==2

n=int(input())
x=n%2+8
print(x,n-x)