





from __future__ import annotations

_a						=   {
    "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 ,						__lowerCAmelCase ,						__lowerCAmelCase							):



				'''simple docstring'''







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





			def 	__lowerCamelCase       (					self							):



				'''simple docstring'''







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

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





			def 	__lowerCamelCase       (					self ,						__lowerCAmelCase							):



				'''simple docstring'''







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

				lowerCamelCase__              =	self.parent.get(__lowerCAmelCase							)
				if target_vertex_parent is None:
					lowerCamelCase__              =	(
					    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__":
			_a						=   Graph(graph, "G")
			g.breath_first_search()
			print(g.shortest_path("D"))
			print(g.shortest_path("G"))
			print(g.shortest_path("Foo"))










def lowerCAmelCase__(__snake_case							)       ->   int:







	'''simple docstring'''







	if not grid or not grid[0]:
		raise TypeError('''The grid does not contain the appropriate information'''							)

	for cell_n in range(1 ,len(grid[0]							)							):
		grid[0][cell_n] += grid[0][cell_n - 1]
	lowerCamelCase__              =	grid[0]

	for row_n in range(1 ,len(__snake_case							)							):
		lowerCamelCase__              =	grid[row_n]
		lowerCamelCase__              =	fill_row(__snake_case ,__snake_case							)
		lowerCamelCase__              =	grid[row_n]

	return grid[-1][-1]





def lowerCAmelCase__(__snake_case ,__snake_case							)       ->   list:







	'''simple docstring'''







	current_row[0] += row_above[0]
	for cell_n in range(1 ,len(__snake_case							)							):
		current_row[cell_n] += min(current_row[cell_n - 1] ,row_above[cell_n]							)

	return current_row


if __name__ == "__main__":
			import doctest

			doctest.testmod()



