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:
# composite number is a number that is not prime
# go through all numbers that are below the input number, and as long as it's not prime
# and it's greater than the number, check if the other number is not prime
# generate all primes below that number via a quickPrime sieve (my algorithm)
# check all numbers not in that primeList and as long as the difference isn't in primeList then 
# output those two numbers 
#
def fakeBach(n):
	primeDict = quickSieve(n)
	for num in range(2,n):
		if primeDict[num] == False:
			i = n - num
			if primeDict[i] == False:
				return [str(num),str(i)]
def quickSieve(n):
	numDict = {2:True}
	for i in range(3,n+1):
		numDict[i] = True
	for num in numDict:
		if numDict[num]:
			i = num
			while num <= n-i:
				num += i
				numDict[num] = False
	return numDict 

print(' '.join((fakeBach(int(input())))))