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:
#*****DO NOT COPY*****
#F
#U       ___                     ___                         ___           ___           ___           ___          _____
#C      /  /\      ___          /  /\          ___          /__/\         /  /\         /  /\         /  /\        /  /::\
#K     /  /::\    /  /\        /  /:/_        /  /\         \  \:\       /  /::\       /  /::\       /  /:/_      /  /:/\:\
#     /  /:/\:\  /  /:/       /  /:/ /\      /  /::\         \  \:\     /  /:/\:\     /  /:/\:\     /  /:/ /\    /  /:/  \:\
#Y   /  /:/~/:/ /__/::\      /  /:/ /::\    /  /:/\:\    ___  \  \:\   /  /:/~/::\   /  /:/~/:/    /  /:/ /:/_  /__/:/ \__\:|
#O  /__/:/ /:/  \__\/\:\__  /__/:/ /:/\:\  /  /:/~/::\  /__/\  \__\:\ /__/:/ /:/\:\ /__/:/ /:/___ /__/:/ /:/ /\ \  \:\ /  /:/
#U  \  \:\/:/      \  \:\/\ \  \:\/:/~/:/ /__/:/ /:/\:\ \  \:\ /  /:/ \  \:\/:/__\/ \  \:\/:::::/ \  \:\/:/ /:/  \  \:\  /:/
#    \  \::/        \__\::/  \  \::/ /:/  \  \:\/:/__\/  \  \:\  /:/   \  \::/       \  \::/~~~~   \  \::/ /:/    \  \:\/:/
#A    \  \:\        /__/:/    \__\/ /:/    \  \::/        \  \:\/:/     \  \:\        \  \:\        \  \:\/:/      \  \::/
#L     \  \:\       \__\/       /__/:/      \__\/          \  \::/       \  \:\        \  \:\        \  \::/        \__\/
#L      \__\/                   \__\/                       \__\/         \__\/         \__\/         \__\/
#
#
#*****DO NOT COPY*****

n = int(input())

if n % 2 == 1:
    a = n - 9
    b = 9

else:
    a = n - 8
    b = 8

print(a , b)