



'''simple docstring'''





import math







def    lowerCAmelCase_  (lowerCAmelCase__:		List[str]     ):





			"""simple docstring"""


			UpperCAmelCase_:		str       			=    math.log(2		,	1_0     ) * number
			UpperCAmelCase_:		Dict       			=    round((log_number - int(_A     ))		,	1_5     )

			return difference







def    lowerCAmelCase_  (lowerCAmelCase__:		List[Any] = 6_7_8_9_1_0     ):





			"""simple docstring"""


			UpperCAmelCase_:		str       			=    9_0
			UpperCAmelCase_:		str       			=    0

			UpperCAmelCase_:		List[str]       			=    math.log(1.23		,	1_0     )
			UpperCAmelCase_:		Dict       			=    math.log(1.24		,	1_0     )
			UpperCAmelCase_:		List[Any]       			=    0

			while position < number:
						UpperCAmelCase_:		List[str]       			=    log_difference(_A     )

						if difference >= upper_limit:
									power_iterator += 9_3

						elif difference < lower_limit:
									power_iterator += 1_9_6

						else:
									UpperCAmelCase_:		Tuple       			=    power_iterator
									power_iterator += 1_9_6
									position += 1

			return previous_power


if __name__ == "__main__":
	import doctest

	doctest.testmod()

	print(F'''{solution() = }''')











import numpy as np







def    lowerCAmelCase_  (lowerCAmelCase__:		Optional[Any]     ):





			"""simple docstring"""


			UpperCAmelCase_:		Optional[int]       			=    np.exp(lowerCAmelCase__     )

			# Add up the all the exponentials
			UpperCAmelCase_:		Tuple       			=    np.sum(lowerCAmelCase__     )

			# Divide every exponent by the sum of all exponents
			UpperCAmelCase_:		str       			=    exponent_vector / sum_of_exponents

			return softmax_vector


if __name__ == "__main__":
	print(softmax((0,)))






