





"""simple docstring"""






from __future__ import annotations

def     __A      (			a_						:list[int]   ,       a_						:int)		->		list[list[int]]:
				__a :						list[list[int]]			       =  []
				__a :						list[int]			       =  []
				__a :						Optional[Any]			       =  0
				__a :						Dict			       =  sum(a_)
				create_state_space_tree(a_   ,       a_   ,       a_   ,       a_   ,       a_   ,       a_)
				return result

def     __A      (			a_						:list[int]   ,       a_						:int   ,       a_						:int   ,       a_						:list[int]   ,       a_						:list[list[int]]   ,       a_						:int   ,       )		->		None:
				if sum(a_) > max_sum or (remaining_nums_sum + sum(a_)) < max_sum:
								return
				if sum(a_) == max_sum:
								result.append(a_)
								return
				for index in range(a_   ,       len(a_)):
								create_state_space_tree(
								    a_   ,       a_   ,       index + 1   ,       [*path, nums[index]]   ,       a_   ,       remaining_nums_sum - nums[index]   ,       )
A 			=   [3, 34, 4, 12, 5, 2]
A 			=   9
A 			=   generate_sum_of_subsets_soln(nums, max_sum)






print(*result)






"""simple docstring"""






from math import log

from scipy.constants import Boltzmann, physical_constants

A 			=  300  # TEMPERATURE (unit = K)

def     __A      (			a_						:float   ,       a_						:float   ,       a_						:float   ,       )		->		float:

				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()