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:
x = int(input())
#
# if (x%2==0):
#     val = int(x/2)
#     val1 = int(val)
#     it = int(val/2)
#     for i in range(2,it):
#         if ((val%i)==0):
#             print(int(val),int(val))
#             break
#         else:
#             val -=1
#             val1 +=1
#else:
val = int(x/2)
if(x%2==0):
    val1 = val
else:
    val1 = val+1

#print(val, val1)
it = int(val/2)+1
out = 0
proceed = 0
while(1):
    proceed = 0
    for i in range(2,it):

        if (val%i)==0:
           #print("koi")
           #print(val, i, val1)
           proceed=1
           for j in range(2,it):
               if val1%j==0:
                   out+=1
                   print(val,val1)
                   break
        if(proceed and out==0):
            val -=1
            val1 +=1
            break
        else:
            val -= 1
            val1 += 1
            break

    if(out==1):
        break