Problem: PolandBall is a young, clever Ball. He is interested in prime numbers. He has stated a following hypothesis: "There exists such a positive integer n that for each positive integer m number n·m + 1 is a prime number".

Unfortunately, PolandBall is not experienced yet and doesn't know that his hypothesis is incorrect. Could you prove it wrong? Write a program that finds a counterexample for any n.

Input

The only number in the input is n (1 ≤ n ≤ 1000) — number from the PolandBall's hypothesis. 

Output

Output such m that n·m + 1 is not a prime number. Your answer will be considered correct if you output any suitable m such that 1 ≤ m ≤ 103. It is guaranteed the the answer exists.

Examples

Input

3


Output

1

Input

4


Output

2

Note

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.

For the first sample testcase, 3·1 + 1 = 4. We can output 1.

In the second sample testcase, 4·1 + 1 = 5. We cannot output 1 because 5 is prime. However, m = 2 is okay since 4·2 + 1 = 9, which is not a prime number.

Solution (in PYTHON):

Solution:

def isPrime(n):
  """Returns True if n is prime."""
  if n == 2:
      return True
  if n == 3:
      return True
  if n % 2 == 0:
      return False
  if n % 3 == 0:
      return False

  i = 5
  w = 2

  while i * i <= n:
      if n % i == 0:
          return False

      i += w
      w = 6 - w

  return True

n = input()
m=0
while(m < 1000):
  if(m != 0):
    num = n*m + 1
    prime = isPrime(num)
    if not(prime):
      print int(m)
      break
  m = m + 1