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:
b = int(raw_input())
c = b/2+1
ok=1
okk =1
while True:
    c-=1
    d = b-c
    e = c/2
    f = d/2
    for i in range(2,e+1):
        for j in range(2,f+1):
            #print (d,j,d%j,c,i,c%i,ok)
            if d%j == 0 :
                ok = 2
                break
        if c%i == 0 :
            okk = 2
            break
    if ok == 2 and okk ==2: break
    else :
        ok =1
        okk =1
print c,
print d