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:
n = input()
n = int(n)

#корень
s = n**0.5 // 1

finish = False
i = 0
b = 1
while not finish and b > 0:
    a = n // 2 + i
    b = n - a
    no = False
    j = 1
    bq = b**0.5 // 1
    aq = a**0.5 // 1
    finishA = False
    finishB = False
    while not no and j < aq:
        j = j + 1
        if not finishA and a % j == 0:
            finishA = True
        if not finishB and j <= bq and b % j == 0:
            finishB = True
        if not finishB and j > bq:
            no = True
        if finishB and finishA:
            no = True
            finish = True
    i = i + 1

print(str(a) + ' ' + str(b))