





class  __A:

     def __init__(      self,       A = "",       A = False      ):





            """simple docstring"""

            _UpperCamelCase              =						{}

            # A node will be a leaf if the tree contains its word
            _UpperCamelCase              =						is_leaf

            _UpperCamelCase              =						prefix

     def 	_UpperCamelCase     (      self,       A      ):





            """simple docstring"""

            _UpperCamelCase              =						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 	_UpperCamelCase     (      self,       A      ):





            """simple docstring"""

            for word in words:
                   self.insert(A      )

     def 	_UpperCamelCase     (      self,       A      ):





            """simple docstring"""

            if self.prefix == word:
                   _UpperCamelCase              =						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:
                   _UpperCamelCase              =						RadixNode(prefix=A,       is_leaf=A      )

            else:
                   _UpperCamelCase              =						self.nodes[word[0]]
                   _UpperCamelCase       ,		_UpperCamelCase       ,		_UpperCamelCase              =						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:
                          _UpperCamelCase              =						remaining_prefix

                          _UpperCamelCase              =						self.nodes[matching_string[0]]
                          _UpperCamelCase              =						RadixNode(A,       A      )
                          _UpperCamelCase              =						aux_node

                          if remaining_word == "":
                                 _UpperCamelCase              =						True
                          else:
                                 self.nodes[matching_string[0]].insert(A      )

     def 	_UpperCamelCase     (      self,       A      ):





            """simple docstring"""

            _UpperCamelCase              =						self.nodes.get(word[0],       A      )
            if not incoming_node:
                   return False
            else:
                   _UpperCamelCase       ,		_UpperCamelCase       ,		_UpperCamelCase              =						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 	_UpperCamelCase     (      self,       A      ):





            """simple docstring"""

            _UpperCamelCase              =						self.nodes.get(word[0],       A      )
            if not incoming_node:
                   return False
            else:
                   _UpperCamelCase       ,		_UpperCamelCase       ,		_UpperCamelCase              =						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:
                                               _UpperCamelCase              =						list(self.nodes.values()      )[0]
                                               _UpperCamelCase              =						merging_node.is_leaf
                                               self.prefix += merging_node.prefix
                                               _UpperCamelCase              =						merging_node.nodes
                    # If there is more than 1 edge, we just mark it as non-leaf
                                 elif len(incoming_node.nodes      ) > 1:
                                        _UpperCamelCase              =						False
                                 # If there is 1 edge, we merge it with its child
                                 else:
                                        _UpperCamelCase              =						list(incoming_node.nodes.values()      )[0]
                                        _UpperCamelCase              =						merging_node.is_leaf
                                        incoming_node.prefix += merging_node.prefix
                                        _UpperCamelCase              =						merging_node.nodes

                                 return True



     def 	_UpperCamelCase     (      self,       A = 0      ):





            """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     SCREAMING_SNAKE_CASE			(      ):
       _UpperCamelCase              =						'''banana bananas bandana band apple all beast'''.split()
       _UpperCamelCase              =						RadixNode()
       root.insert_many(lowerCAmelCase					)

       assert all(root.find(lowerCAmelCase					) 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     SCREAMING_SNAKE_CASE			(      ):
       assert test_trie()


def     SCREAMING_SNAKE_CASE			(      ):
       _UpperCamelCase              =						RadixNode()
       _UpperCamelCase              =						'''banana bananas bandanas bandana band apple all beast'''.split()
       root.insert_many(lowerCAmelCase					)

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


if __name__ == "__main__":
       main()













from __future__ import annotations

lowercase    : int    	=  {
    """A""": ["""B""", """C""", """E"""],
    """B""": ["""A""", """D""", """E"""],
    """C""": ["""A""", """F""", """G"""],
    """D""": ["""B"""],
    """E""": ["""A""", """B""", """D"""],
    """F""": ["""C"""],
    """G""": ["""C"""],
}

class  __A:

     def __init__(      self,       A,       A      ):





            """simple docstring"""

            _UpperCamelCase              =						graph
            # mapping node to its parent in resulting breadth first tree
            _UpperCamelCase              =						{}
            _UpperCamelCase              =						source_vertex

     def 	_UpperCamelCase     (      self      ):





            """simple docstring"""

            _UpperCamelCase              =						{self.source_vertex}
            _UpperCamelCase              =						None
            _UpperCamelCase              =						[self.source_vertex]  # first in first out queue

            while queue:
                   _UpperCamelCase              =						queue.pop(0      )
                   for adjacent_vertex in self.graph[vertex]:
                          if adjacent_vertex not in visited:
                                 visited.add(A      )
                                 _UpperCamelCase              =						vertex
                                 queue.append(A      )



     def 	_UpperCamelCase     (      self,       A      ):





            """simple docstring"""

            if target_vertex == self.source_vertex:
                   return self.source_vertex

            _UpperCamelCase              =						self.parent.get(A      )
            if target_vertex_parent is None:
                   _UpperCamelCase              =						(
                       F'''No path from vertex: {self.source_vertex} to vertex: {target_vertex}'''
                   )
                   raise ValueError(A      )

            return self.shortest_path(A      ) + F'''->{target_vertex}'''


if __name__ == "__main__":
       lowercase    : Tuple    	=  Graph(graph, """G""")
       g.breath_first_search()
       print(g.shortest_path("""D"""))
       print(g.shortest_path("""G"""))
       print(g.shortest_path("""Foo"""))






