




'''simple docstring'''


import math
def 					SCREAMING_SNAKE_CASE(   __lowercase	)			-> bool:

     if 1 < number < 4:
          # 2 and 3 are primes
          return True
     elif number < 2 or number % 2 == 0 or number % 3 == 0:
          # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
          return False

     # All primes number are in format of 6k +/- 1
     for i in range(5		,				int(math.sqrt(__lowercase	) + 1	)		,				6	):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True
def 					SCREAMING_SNAKE_CASE(   __lowercase = 6_0_0_8_5_1_4_7_5_1_4_3	)			-> int:

     try:
          A:		Tuple          =		int(__lowercase	)
     except (TypeError, ValueError):
          raise TypeError('''Parameter n must be int or castable to int.'''	)
     if n <= 0:
          raise ValueError('''Parameter n must be greater than or equal to one.'''	)
     A:		Optional[Any]          =		0
     if is_prime(__lowercase	):
          return n
     while n % 2 == 0:
          n //= 2
     if is_prime(__lowercase	):
          return n
     for i in range(3		,				int(math.sqrt(__lowercase	)	) + 1		,				2	):
          if n % i == 0:
               if is_prime(n // i	):
                    A:		List[Any]          =		n // i
                    break
               elif is_prime(__lowercase	):
                    A:		Any          =		i
     return max_number


if __name__ == "__main__":
     print(f'{solution() = }')












'''simple docstring'''


from __future__ import annotations

import random






class 						lowerCAmelCase_	:







  '''simple docstring'''

  UpperCamelCase_			:      Optional[int]										=				6



  def __init__( self				:							Dict	)			->		Dict:







       '''simple docstring'''



       A:		Union[str, Any]          =		list(range(1					,  Dice.NUM_SIDES + 1	)	)




  def 					_snake_case     ( self				:							Optional[Any]	)			->		Any:







       '''simple docstring'''



       return random.choice(self.sides	)






def 					SCREAMING_SNAKE_CASE(   __lowercase		,				__lowercase = 2	)			-> list[float]:
     A:		Union[str, Any]          =		[Dice() for i in range(__lowercase	)]
     A:		Union[str, Any]          =		[0] * (len(__lowercase	) * Dice.NUM_SIDES + 1)
     for _ in range(__lowercase	):
          count_of_sum[sum(dice.roll() for dice in dices	)] += 1
     A:		Dict          =		[round((count * 1_0_0) / num_throws		,				2	) for count in count_of_sum]
     return probability[num_dice:]  # remove probability of sums that never appear


if __name__ == "__main__":
     import doctest

     doctest.testmod()






