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 = int(input())
b = []
if n%2==0 and n%4==0:
    z=[]
    z.append(int(n/2))
    z.append(int(n/2))
    b.append(z)
else:
    for i in range(4, n-4):
        if len(b)==1:
            break
        q = 0
        for j in range(1, i+1):
            if len(b)==1:
                break
            if i % j == 0:
                q += 1
                if q > 2:
                    q=0
                    x=n-i
                    for j in range(1, x+1):
                        if x % j == 0:
                            q += 1
                            if q > 2:
                                z = []
                                z.append(i)
                                z.append(x)
                                b.append(z)
                                break

print(b[0][0], b[0][1])