




from math import log

from scipy.constants import Boltzmann, physical_constants

lowerCamelCase							:						Union[str, Any]					       =  300  # TEMPERATURE (unit = K)

def      _SCREAMING_SNAKE_CASE     (				lowercase      :			float      ,				lowercase      :			float      ,				lowercase      :			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()







'''simple docstring'''
def       _lowercase							(					UpperCamelCase__							:       dict      ):
 __A	:		Dict	  =      set()
 # edges = list of graph's edges
 __A	:		Any	  =      get_edges(UpperCamelCase__      )

 # While there are still elements in edges list, take an arbitrary edge
 # (from_node, to_node) and add his extremity to chosen_vertices and then
 # remove all arcs adjacent to the from_node and to_node
 while edges:
  __A  ,__A	:		List[Any]	  =      edges.pop()
  chosen_vertices.add(UpperCamelCase__      )
  chosen_vertices.add(UpperCamelCase__      )
  for edge in edges.copy():
   if from_node in edge or to_node in edge:
    edges.discard(UpperCamelCase__      )
 return chosen_vertices


def       _lowercase							(					UpperCamelCase__							:       dict      ):
 __A	:		Any	  =      set()
 for from_node, to_nodes in graph.items():
  for to_node in to_nodes:
   edges.add((from_node, to_node)      )
 return edges


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 # graph = {0: [1, 3], 1: [0, 3], 2: [0, 3, 4], 3: [0, 1, 2], 4: [2, 3]}
 # print(f"Matching vertex cover:\n{matching_min_vertex_cover(graph)}")






