


from __future__ import annotations

import random
class _lowerCamelCase :



		'''simple docstring'''







		A_			:    List[str]   					=       6







		def __init__(      self	:		List[str]    )						->				str:
			__magic_name__ :					int  			=  list(range(1						,  Dice.NUM_SIDES + 1    )    )







		def      __lowerCAmelCase	(      self	:		List[str]    )						->				int:
			return random.choice(self.sides    )







def lowerCamelCase    (    lowerCAmelCase       :			int	,	lowerCAmelCase       :			int = 2	):





	"""simple docstring"""







	__magic_name__ :					int  			=  [Dice() for i in range(lowerCAmelCase	)]
	__magic_name__ :					Dict  			=  [0] * (len(lowerCAmelCase	) * Dice.NUM_SIDES + 1)
	for _ in range(lowerCAmelCase	):
		count_of_sum[sum(dice.roll() for dice in dices	)] += 1
	__magic_name__ :					Dict  			=  [round((count * 100) / 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()



'''simple docstring'''

from __future__ import annotations





def lowerCamelCase    (    lowerCAmelCase       :			list[int | float]	,	lowerCAmelCase       :			int	,	lowerCAmelCase       :			int	):





	"""simple docstring"""







	if len(lowerCAmelCase	) == 0:
		raise ValueError('find_min() arg is an empty sequence'	)
	if (
	    left >= len(lowerCAmelCase	)
	    or left < -len(lowerCAmelCase	)
	    or right >= len(lowerCAmelCase	)
	    or right < -len(lowerCAmelCase	)
	):
		raise IndexError('list index out of range'	)
	if left == right:
		return nums[left]
	__magic_name__ :					Tuple  			=  (left + right) >> 1  # the middle
	__magic_name__ :					str  			=  find_min(lowerCAmelCase	,	lowerCAmelCase	,	lowerCAmelCase	)  # find min in range[left, mid]
	__magic_name__ :					Optional[Any]  			=  find_min(lowerCAmelCase	,	mid + 1	,	lowerCAmelCase	)  # find min in range[mid + 1, right]

	return left_min if left_min <= right_min else right_min


if __name__ == "__main__":
							import doctest

							doctest.testmod(verbose=True)