



def 	__lowercase   ( a__   )				-> Tuple:
							assert (
							    isinstance(lowerCamelCase__							,   lowerCamelCase__   ) and number_of_steps > 0
							), f"""number_of_steps needs to be positive integer, your input {number_of_steps}"""
							if number_of_steps == 1:
														return 1
							__SCREAMING_SNAKE_CASE							,       __SCREAMING_SNAKE_CASE									=					1, 1
							for _ in range(number_of_steps - 1   ):
														__SCREAMING_SNAKE_CASE							,       __SCREAMING_SNAKE_CASE									=					current + previous, current
							return current


if __name__ == "__main__":
			import doctest

			doctest.testmod()








from collections import defaultdict

from graphs.minimum_spanning_tree_prims import prisms_algorithm as mst





def 			lowerCamelCase_ (				):
				lowerCamelCase_	,    lowerCamelCase_						=			9, 1_4  # noqa: F841
				lowerCamelCase_						=			[
				    [0, 1, 4],
				    [0, 7, 8],
				    [1, 2, 8],
				    [7, 8, 7],
				    [7, 6, 1],
				    [2, 8, 2],
				    [8, 6, 6],
				    [2, 3, 7],
				    [2, 5, 4],
				    [6, 5, 2],
				    [3, 5, 1_4],
				    [3, 4, 9],
				    [5, 4, 1_0],
				    [1, 7, 1_1],
				]

				lowerCamelCase_						=			defaultdict(lowerCamelCase__    )
				for nodea, nodea, cost in edges:
								adjancency[nodea].append([nodea, cost]    )
								adjancency[nodea].append([nodea, cost]    )

				lowerCamelCase_						=			mst(lowerCamelCase__    )

				lowerCamelCase_						=			[
				    [7, 6, 1],
				    [2, 8, 2],
				    [6, 5, 2],
				    [0, 1, 4],
				    [2, 5, 4],
				    [2, 3, 7],
				    [0, 7, 8],
				    [3, 4, 9],
				]

				for answer in expected:
								lowerCamelCase_						=			tuple(answer[:2]    )
								lowerCamelCase_						=			tuple(edge[::-1]    )
								assert edge in result or reverse in result


