




def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase		, __UpperCamelCase)      ->					int:
     a     =				1  # To kept the Calculated Value
     # Since C(n, k) = C(n, n-k)
     if k > (n - k):
          a     =				n - k
     # Calculate C(n,k)
     for i in range(__UpperCamelCase):
          result *= n - i
          result //= i + 1
     return result

def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase)      ->					int:
     return binomial_coefficient(2 * node_count		, __UpperCamelCase) // (node_count + 1)

def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase)      ->					int:
     if n < 0:
          raise ValueError("factorial() not defined for negative values")
     a     =				1
     for i in range(1		, n + 1):
          result *= i
     return result

def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase)      ->					int:
     return catalan_number(__UpperCamelCase) * factorial(__UpperCamelCase)


if __name__ == "__main__":
   lowercase__				:      Optional[int]	   = int(input("Enter the number of nodes: ").strip() or 0)
   if node_count <= 0:
      raise ValueError("We need some nodes to work with.")
   print(
       F'Given {node_count} nodes, there are {binary_tree_count(node_count)} '
       F'binary trees and {catalan_number(node_count)} binary search trees.'
   )











def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase)      ->					int:
     return 1 if digit in (0, 1) else (digit * factorial(digit - 1))

def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase)      ->					bool:
     a     =				0
     a     =				number
     while duplicate > 0:
          a  ,				a     =				divmod(__UpperCamelCase		, 10)
          fact_sum += factorial(__UpperCamelCase)
     return fact_sum == number


if __name__ == "__main__":
   print("Program to check whether a number is a Krisnamurthy Number or not.")
   lowercase__				:      str	   = int(input("Enter number: ").strip())
   print(
       F'{number} is {"" if krishnamurthy(number) else "not "}a Krishnamurthy Number.'
   )

