

from math import log

from scipy.constants import Boltzmann, physical_constants

lowerCAmelCase__		      =       3_0_0  # TEMPERATURE (unit = K)



def     lowerCAmelCase__							(		SCREAMING_SNAKE_CASE_:							float		,				SCREAMING_SNAKE_CASE_:							float		,				SCREAMING_SNAKE_CASE_:							float		,				)	->					float:




				'''simple docstring'''





				if donor_conc <= 0:
								raise ValueError("Donor concentration should be positive"					)
				elif acceptor_conc <= 0:
								raise ValueError("Acceptor concentration should be positive"					)
				elif intrinsic_conc <= 0:
								raise ValueError("Intrinsic concentration should be positive"					)
				elif donor_conc <= intrinsic_conc:
								raise ValueError(
								    "Donor concentration should be greater than intrinsic concentration"					)
				elif acceptor_conc <= intrinsic_conc:
								raise ValueError(
								    "Acceptor concentration should be greater than intrinsic concentration"					)
				else:
								return (
								    Boltzmann
								    * T
								    * log((donor_conc * acceptor_conc) / intrinsic_conc**2					)
								    / physical_constants["electron volt"][0]
								)


if __name__ == "__main__":
	import doctest

	doctest.testmod()









def   a			(						lowerCamelCase_				):






				'''simple docstring'''
				lowercase__    =			[1]

				lowercase__ ,						lowercase__ ,						lowercase__    =			0, 0, 0
				lowercase__    =			ugly_nums[ia] * 2
				lowercase__    =			ugly_nums[ia] * 3
				lowercase__    =			ugly_nums[ia] * 5

				for _ in range(1		,   lowerCamelCase_				):
								lowercase__    =			min(lowerCamelCase_		,   lowerCamelCase_		,   lowerCamelCase_				)
								ugly_nums.append(lowerCamelCase_				)
								if next_num == next_a:
												ia += 1
												lowercase__    =			ugly_nums[ia] * 2
								if next_num == next_a:
												ia += 1
												lowercase__    =			ugly_nums[ia] * 3
								if next_num == next_a:
												ia += 1
												lowercase__    =			ugly_nums[ia] * 5
				return ugly_nums[-1]


if __name__ == "__main__":
							from doctest import testmod

							testmod(verbose=True)
							print(F"{ugly_numbers(2_00) = }")




