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:
#This sol is so stupid

#1: find all composite numbers <= 10^6
# import math
# N = 10**6
# li = range(12, N+1)
# M = int(math.sqrt(N))
# print N, M
# composites = set()
# for x in li:
#     print x
#     for j in range(2, M+1):
#         if x % j == 0:
#             composites.add(x)
#             break

# v = input()
# print v
# for i in range(6, v+1):
#     if i in composites and v-i in composites:
#         print i, v-i
#         exit(0)
    
#4 and 9 are composites
n = input()
if n%2 == 0: print 4, n-4
else: print 9, n-9