
"""simple docstring"""




class 			__magic_name__       :
       def __init__(     self ,				A_ = "" ,				A_ = False       )     ->	None:





         """simple docstring"""




         _lowercase:			dict[str, RadixNode]       =     {}

         # A node will be a leaf if the tree contains its word
         _lowercase:			Dict       =     is_leaf

         _lowercase:			List[str]       =     prefix
       def 							lowercase_							(     self ,				A_       )     ->	tuple[str, str, str]:





         """simple docstring"""




         _lowercase:			Union[str, Any]       =     0
         for q, w in zip(self.prefix ,				A_       ):
           if q != w:
             break

           x += 1

         return self.prefix[:x], self.prefix[x:], word[x:]
       def 							lowercase_							(     self ,				A_       )     ->	None:





         """simple docstring"""




         for word in words:
           self.insert(A_       )
       def 							lowercase_							(     self ,				A_       )     ->	None:





         """simple docstring"""




         if self.prefix == word:
           _lowercase:			Tuple       =     True

         # Case 2: The node has no edges that have a prefix to the word
         # Solution: We create an edge from the current node to a new one
         # containing the word
         elif word[0] not in self.nodes:
           _lowercase:			int       =     RadixNode(prefix=A_ ,				is_leaf=A_       )

         else:
           _lowercase:			int       =     self.nodes[word[0]]
           _lowercase ,				_lowercase ,				_lowercase:			Union[str, Any]       =     incoming_node.match(
               A_       )

           # Case 3: The node prefix is equal to the matching
           # Solution: We insert remaining word on the next node
           if remaining_prefix == "":
             self.nodes[matching_string[0]].insert(A_       )

           # Case 4: The word is greater equal to the matching
           # Solution: Create a node in between both nodes, change
           # prefixes and add the new node for the remaining word
           else:
             _lowercase:			Union[str, Any]       =     remaining_prefix

             _lowercase:			int       =     self.nodes[matching_string[0]]
             _lowercase:			Optional[int]       =     RadixNode(A_ ,				A_       )
             _lowercase:			Union[str, Any]       =     aux_node

             if remaining_word == "":
               _lowercase:			Union[str, Any]       =     True
             else:
               self.nodes[matching_string[0]].insert(A_       )
       def 							lowercase_							(     self ,				A_       )     ->	bool:





         """simple docstring"""




         _lowercase:			Optional[int]       =     self.nodes.get(word[0] ,				A_       )
         if not incoming_node:
           return False
         else:
           _lowercase ,				_lowercase ,				_lowercase:			Tuple       =     incoming_node.match(
               A_       )
           # If there is remaining prefix, the word can't be on the tree
           if remaining_prefix != "":
             return False
           # This applies when the word and the prefix are equal
           elif remaining_word == "":
             return incoming_node.is_leaf
           # We have word remaining so we check the next node
           else:
             return incoming_node.find(A_       )
       def 							lowercase_							(     self ,				A_       )     ->	bool:





         """simple docstring"""




         _lowercase:			Any       =     self.nodes.get(word[0] ,				A_       )
         if not incoming_node:
           return False
         else:
           _lowercase ,				_lowercase ,				_lowercase:			List[str]       =     incoming_node.match(
               A_       )
           # If there is remaining prefix, the word can't be on the tree
           if remaining_prefix != "":
             return False
           # We have word remaining so we check the next node
           elif remaining_word != "":
             return incoming_node.delete(A_       )
           else:
             # If it is not a leaf, we don't have to delete
             if not incoming_node.is_leaf:
               return False
             else:
               # We delete the nodes if no edges go from it
               if len(incoming_node.nodes       ) == 0:
                 del self.nodes[word[0]]
                 # We merge the current node with its only child
                 if len(self.nodes       ) == 1 and not self.is_leaf:
                   _lowercase:			int       =     list(self.nodes.values()       )[0]
                   _lowercase:			List[str]       =     merging_node.is_leaf
                   self.prefix += merging_node.prefix
                   _lowercase:			Union[str, Any]       =     merging_node.nodes
                    # If there is more than 1 edge, we just mark it as non-leaf
               elif len(incoming_node.nodes       ) > 1:
                 _lowercase:			List[Any]       =     False
               # If there is 1 edge, we merge it with its child
               else:
                 _lowercase:			Optional[Any]       =     list(incoming_node.nodes.values()       )[0]
                 _lowercase:			Any       =     merging_node.is_leaf
                 incoming_node.prefix += merging_node.prefix
                 _lowercase:			List[Any]       =     merging_node.nodes

               return True



       def 							lowercase_							(     self ,				A_ = 0       )     ->	None:





         """simple docstring"""




         if self.prefix != "":
           print('''-''' * height ,				self.prefix ,				'''  (leaf)''' if self.is_leaf else ''''''       )

         for value in self.nodes.values():
           value.print_tree(height + 1       )




def  _lowerCAmelCase		(		):






  """simple docstring"""



  _lowercase:			Union[str, Any]       =     '''banana bananas bandana band apple all beast'''.split()
  _lowercase:			int       =     RadixNode()
  root.insert_many(_UpperCamelCase						)

  assert all(root.find(_UpperCamelCase						) for word in words						)
  assert not root.find('''bandanas'''						)
  assert not root.find('''apps'''						)
  root.delete('''all'''						)
  assert not root.find('''all'''						)
  root.delete('''banana'''						)
  assert not root.find('''banana'''						)
  assert root.find('''bananas'''						)

  return True




def  _lowerCAmelCase		(		):






  """simple docstring"""



  assert test_trie()




def  _lowerCAmelCase		(		):






  """simple docstring"""



  _lowercase:			Optional[Any]       =     RadixNode()
  _lowercase:			Any       =     '''banana bananas bandanas bandana band apple all beast'''.split()
  root.insert_many(_UpperCamelCase						)

  print('''Words:''' ,				_UpperCamelCase						)
  print('''Tree:'''						)
  root.print_tree()


if __name__ == "__main__":
  main()


"""simple docstring"""




import qiskit




def  _lowerCAmelCase		(		_UpperCamelCase ,				_UpperCamelCase						):






  """simple docstring"""



  _lowercase:			Dict       =     qiskit.Aer.get_backend('''aer_simulator'''						)

  # Create a Quantum Circuit acting on the q register
  _lowercase:			str       =     qiskit.QuantumCircuit(_UpperCamelCase ,				_UpperCamelCase						)

  # Apply X (NOT) Gate to Qubits 0 & 1
  circuit.x(0						)
  circuit.x(1						)

  # Map the quantum measurement to the classical bits
  circuit.measure([0, 1] ,				[0, 1]						)

  # Execute the circuit on the qasm simulator
  _lowercase:			Tuple       =     qiskit.execute(_UpperCamelCase ,				_UpperCamelCase ,				shots=1_000						)

  # Return the histogram data of the results of the experiment.
  return job.result().get_counts(_UpperCamelCase						)


if __name__ == "__main__":
  A__   :					Optional[int]							=   single_qubit_measure(2, 2)
  print(f"""Total count for various states are: {counts}""")
