


def        lowerCAmelCase_  (      __lowerCamelCase							,			__lowerCamelCase			):
							__snake_case	:    int											=     word.split()

							def justify(__lowerCamelCase							,			__lowerCamelCase							,			__lowerCamelCase			) -> str:
														__snake_case	:    List[str]											=     max_width - width
														__snake_case	:    str											=     len(__lowerCamelCase			)
														if len(__lowerCamelCase			) == 1:
																					# if there is only word in line
																					# just insert overall_spaces_count for the remainder of line
																					return line[0] + " " * overall_spaces_count
														else:
																					__snake_case	:    Optional[Any]											=     words_count - 1
																					# num_spaces_between_words_list[i] : tells you to insert
																					# num_spaces_between_words_list[i] spaces
																					# after word on line[i]
																					__snake_case	:    int											=     spaces_to_insert_between_words * [
																					    overall_spaces_count // spaces_to_insert_between_words
																					]
																					__snake_case	:    Optional[int]											=     (
																					    overall_spaces_count % spaces_to_insert_between_words
																					)
																					# distribute spaces via round robin to the left words
																					for i in range(__lowerCamelCase			):
																												num_spaces_between_words_list[i] += 1
																					__snake_case	:    Union[str, Any]											=     []
																					for i in range(__lowerCamelCase			):
																												# add the word
																												aligned_words_list.append(line[i]			)
																												# add the spaces to insert
																												aligned_words_list.append(num_spaces_between_words_list[i] * " "			)
																					# just add the last word to the sentence
																					aligned_words_list.append(line[-1]			)
																					# join the aligned words list to form a justified line
																					return "".join(__lowerCamelCase			)

							__snake_case	:    Tuple											=     []
							__snake_case	:    list[str]											=     []
							__snake_case	:    Optional[Any]											=     0
							for word in words:
														if width + len(__lowerCamelCase			) + len(__lowerCamelCase			) <= max_width:
																					# keep adding words until we can fill out max_width
																					# width = sum of length of all words (without overall_spaces_count)
																					# len(word) = length of current word
																					# len(line) = number of overall_spaces_count to insert between words
																					line.append(__lowerCamelCase			)
																					width += len(__lowerCamelCase			)
														else:
																					# justify the line and add it to result
																					answer.append(justify(__lowerCamelCase							,			__lowerCamelCase							,			__lowerCamelCase			)			)
																					# reset new line and new width
																					__snake_case				,    __snake_case	:    Dict											=     [word], len(__lowerCamelCase			)
							__snake_case	:    int											=     max_width - width - len(__lowerCamelCase			)
							answer.append(" ".join(__lowerCamelCase			) + (remaining_spaces + 1) * " "			)
							return answer


if __name__ == "__main__":
			from doctest import testmod

			testmod()





from __future__ import annotations

_snake_case  :	Union[str, Any]			      =       {
    "A": ["B", "C", "E"],
    "B": ["A", "D", "E"],
    "C": ["A", "F", "G"],
    "D": ["B"],
    "E": ["A", "B", "D"],
    "F": ["C"],
    "G": ["C"],
}

class        a	:




							"""simple docstring"""


							def __init__(							self :						Tuple					,			lowerCamelCase :						dict[str, list[str]]					,			lowerCamelCase :						str       )			->					None:
														__snake_case	:    Tuple											=     graph
														# mapping node to its parent in resulting breadth first tree
														__snake_case	:    dict[str, str | None]											=     {}
														__snake_case	:    Dict											=     source_vertex

							def 					__snake_case      (							self :						Optional[int]       )			->					None:
														__snake_case	:    Dict											=     {self.source_vertex}
														__snake_case	:    List[str]											=     None
														__snake_case	:    Optional[Any]											=     [self.source_vertex]  # first in first out queue

														while queue:
																					__snake_case	:    List[Any]											=     queue.pop(0       )
																					for adjacent_vertex in self.graph[vertex]:
																												if adjacent_vertex not in visited:
																																			visited.add(lowerCamelCase       )
																																			__snake_case	:    Any											=     vertex
																																			queue.append(lowerCamelCase       )






							def 					__snake_case      (							self :						Optional[Any]					,			lowerCamelCase :						str       )			->					str:
														if target_vertex == self.source_vertex:
																					return self.source_vertex

														__snake_case	:    Optional[Any]											=     self.parent.get(lowerCamelCase       )
														if target_vertex_parent is None:
																					__snake_case	:    Optional[Any]											=     (
																					    F'No path from vertex: {self.source_vertex} to vertex: {target_vertex}'
																					)
																					raise ValueError(lowerCamelCase       )

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


if __name__ == "__main__":
			_snake_case  :	Optional[Any]			      =       Graph(graph, "G")
			g.breath_first_search()
			print(g.shortest_path("D"))
			print(g.shortest_path("G"))
			print(g.shortest_path("Foo"))

