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:
def check(a):
    global flag
    for i in range(2,a//2+1):
        if(a%i==0):
            flag='notprime'
            break
        else:
            flag='prime'
    #print(flag)
    return flag

val = int(input())
flag='prima'
k=val//2
l=val-k
#print(check(k))
#print(check(l))
while(check(k)=='prime' or check(l)=='prime'):
    if(check(l)=='prime' or check(k)=='prime'):
        k+=1
        l-=1
    else:
        break
print(k,l)