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 PYTHON):

Solution:
from math import *

def generate(n):
    s = [True for x in range(n+1)]
    s[0] = False
    s[1] = False
    for i in range(2,int(sqrt(n))+1):
        if s[i] == False:
            continue
        else:
            for j in range(i**2, n, i):
                s[j] = False

    temp = []
    for i in range(n):
        if not s[i]:
            temp.append(i)
    N = len(temp)
    for i in range(N-1,-1,-1):
        for j in range(N):
            if temp[i] + temp[j] == n and temp[i] >= 4 and temp[j] >= 4:
                return str(temp[i]) + " " + str(temp[j])

n = input()
print(generate(n))