



from math import log

from scipy.constants import Boltzmann, physical_constants

lowerCAmelCase__	    =    3_0_0  # TEMPERATURE (unit = K)


def    __lowerCamelCase   (  lowerCamelCase__	,					lowerCamelCase__	,					lowerCamelCase__	,					):

				"""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()





"""simple docstring"""






import math


def      UpperCAmelCase__			(							lowerCAmelCase__	:int						)					->       bool:
      '''simple docstring'''


      lowercase								=      math.loga(math.sqrt(4 * positive_integer + 1						) / 2 + 1 / 2						)

      return exponent == int(lowerCAmelCase__						)


def      UpperCAmelCase__			(							lowerCAmelCase__	:float = 1 / 1_2_3_4_5						)					->       int:
      '''simple docstring'''


      lowercase								=      0
      lowercase								=      0

      lowercase								=      3
      while True:
            lowercase								=      (integer**2 - 1) / 4
            # if candidate is an integer, then there is a partition for k
            if partition_candidate == int(lowerCAmelCase__						):
                  lowercase								=      int(lowerCAmelCase__						)
                  total_partitions += 1
                  if check_partition_perfect(lowerCAmelCase__						):
                        perfect_partitions += 1
            if perfect_partitions > 0:
                  if perfect_partitions / total_partitions < max_proportion:
                        return int(lowerCAmelCase__						)
            integer += 1


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



