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:
# -*- coding: utf-8 -*-
"""
Created on Wed Aug 29 22:58:17 2018

@author: Minh Tuấn1
"""

import math
a = int(input())
l = []
nub = 0
b = a/2
if b % 2 == 0 :
    print(int(b),int(b))
else : 
    for i in range(int(b)-1):
        d = int(b) - i
        if d % 2 == 0 and (a-d) % 2 == 0 or d % 2 == 0 and d % math.sqrt(a-d) == 0:
            print(int(d), int(a - d))
            break
        elif d % math.sqrt(d) == 0 and (a - d)  % 2 == 0:
            print(int(d), int(a - d))
            break
        elif d%2 == 0 and math.sqrt(a-d) in range(2,999):
            print(int(d), int(a-d))
            break