


'''simple docstring'''
from __future__ import annotations

UpperCamelCase__          = {
    '''A''': ['''B''', '''C''', '''E'''],
    '''B''': ['''A''', '''D''', '''E'''],
    '''C''': ['''A''', '''F''', '''G'''],
    '''D''': ['''B'''],
    '''E''': ['''A''', '''B''', '''D'''],
    '''F''': ['''C'''],
    '''G''': ['''C'''],
}




class      lowerCamelCase_  :






      def __init__(   self							:       Optional[Any]		,		_A							:       dict[str, list[str]]		,		_A							:       str					):


          '''simple docstring'''


          UpperCAmelCase__     :						Tuple						=							graph
          # mapping node to its parent in resulting breadth first tree
          UpperCAmelCase__     :						dict[str, str | None]						=							{}
          UpperCAmelCase__     :						List[Any]						=							source_vertex






      def lowercase_				(   self							:       List[Any]					):


          '''simple docstring'''


          UpperCAmelCase__     :						Dict						=							{self.source_vertex}
          UpperCAmelCase__     :						List[str]						=							None
          UpperCAmelCase__     :						Optional[int]						=							[self.source_vertex]  # first in first out queue

          while queue:
              UpperCAmelCase__     :						int						=							queue.pop(0					)
              for adjacent_vertex in self.graph[vertex]:
                  if adjacent_vertex not in visited:
                      visited.add(_A					)
                      UpperCAmelCase__     :						str						=							vertex
                      queue.append(_A					)






      def lowercase_				(   self							:       Dict		,		_A							:       str					):


          '''simple docstring'''


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

          UpperCAmelCase__     :						List[str]						=							self.parent.get(_A					)
          if target_vertex_parent is None:
              UpperCAmelCase__     :						str						=							(
                  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__":
  UpperCamelCase__          = Graph(graph, '''G''')
  g.breath_first_search()
  print(g.shortest_path('''D'''))
  print(g.shortest_path('''G'''))
  print(g.shortest_path('''Foo'''))


"""simple docstring"""




from __future__ import annotations



def 							_lowerCamelCase			(			__a,				__a = None     ):
		SCREAMING_SNAKE_CASE_    			=			word_bank or []
		# create a table
		SCREAMING_SNAKE_CASE_    			=			len(__a     ) + 1

		SCREAMING_SNAKE_CASE_    			=			[]
		for _ in range(__a     ):
				table.append([]     )
		# seed value
		SCREAMING_SNAKE_CASE_    			=			[[]]  # because empty string has empty combination

		# iterate through the indices
		for i in range(__a     ):
				# condition
				if table[i] != []:
						for word in word_bank:
								# slice condition
								if target[i : i + len(__a     )] == word:
										SCREAMING_SNAKE_CASE_    			=			[
										    [word, *way] for way in table[i]
										]
										# adds the word to every combination the current position holds
										# now,push that combination to the table[i+len(word)]
										table[i + len(__a     )] += new_combinations

    # combinations are in reverse order so reverse for better output
		for combination in table[len(__a     )]:
				combination.reverse()

		return table[len(__a     )]


if __name__ == "__main__":
						print(all_construct('jwajalapa', ['jwa', 'j', 'w', 'a', 'la', 'lapa']))
						print(all_construct('rajamati', ['s', 'raj', 'amat', 'raja', 'ma', 'i', 't']))
						print(
						    all_construct(
						        'hexagonosaurus',
						        ['h', 'ex', 'hex', 'ag', 'ago', 'ru', 'auru', 'rus', 'go', 'no', 'o', 's'],
						    )
						)