
from __future__ import annotations

lowerCamelCase__          =		{
    '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					:      List[Any]    ,     a					:      dict[str, list[str]]    ,     a					:      str   ):






							'''simple docstring'''







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






				def 							_lowerCamelCase		(						self					:      str   ):






							'''simple docstring'''







							lowerCAmelCase__      :      Optional[int]         =		{self.source_vertex}
							lowerCAmelCase__      :      Union[str, Any]         =		None
							lowerCAmelCase__      :      str         =		[self.source_vertex]  # first in first out queue

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






				def 							_lowerCamelCase		(						self					:      Optional[int]    ,     a					:      str   ):






							'''simple docstring'''







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

							lowerCAmelCase__      :      Union[str, Any]         =		self.parent.get(a   )
							if target_vertex_parent is None:
										lowerCAmelCase__      :      Optional[int]         =		(
										    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__":
					lowerCamelCase__          =		Graph(graph, """G""")
					g.breath_first_search()
					print(g.shortest_path("""D"""))
					print(g.shortest_path("""G"""))
					print(g.shortest_path("""Foo"""))



"""simple docstring"""






def      lowerCamelCase       (     _UpperCamelCase		:      int = 4_0_0_0_0_0_0							)		->       int:

							'''simple docstring'''



							__UpperCAmelCase   :						int      							=					[0, 1]
							__UpperCAmelCase   :						Optional[Any]      							=					0
							while fib[i] <= n:
														fib.append(fib[i] + fib[i + 1]							)
														if fib[i + 2] > n:
																					break
														i += 1
							__UpperCAmelCase   :						str      							=					0
							for j in range(len(_UpperCamelCase							) - 1							):
														if fib[j] % 2 == 0:
																					total += fib[j]

							return total


if __name__ == "__main__":
							print(F"{solution() = }")
