


def       _lowerCAmelCase    (				lowerCAmelCase_				:Tuple		,    lowerCAmelCase_				:Union[str, Any]				)->str:
   '''simple docstring'''






   snake_case_            =       [0 for i in range(r + 1				)]
   # nc0 = 1
   snake_case_            =       1
   for i in range(1		,    n + 1				):
      # to compute current row from previous row.
      snake_case_            =       min(lowerCAmelCase_		,    lowerCAmelCase_				)
      while j > 0:
         c[j] += c[j - 1]
         j -= 1
   return c[r]



print(binomial_coefficient(n=10, r=5))








def       _lowerCAmelCase    (				lowerCAmelCase_				:int		,    lowerCAmelCase_				:int				)->str:
   '''simple docstring'''






   if not isinstance(lowerCAmelCase_		,    lowerCAmelCase_				):
      raise ValueError("iterations must be defined as integers"				)
   if not isinstance(lowerCAmelCase_		,    lowerCAmelCase_				) or not number >= 1:
      raise ValueError(
          "starting number must be\n                         and integer and be more than 0"				)
   if not iterations >= 1:
      raise ValueError("Iterations must be done more than 0 times to play FizzBuzz"				)

   snake_case_            =       ""
   while number <= iterations:
      if number % 3 == 0:
         out += "Fizz"
      if number % 5 == 0:
         out += "Buzz"
      if 0 not in (number % 3, number % 5):
         out += str(lowerCAmelCase_				)

      # print(out)
      number += 1
      out += " "
   return out


if __name__ == "__main__":
   import doctest

   doctest.testmod()




