






"""simple docstring"""







from __future__ import annotations


class     __UpperCAmelCase:




						"""simple docstring"""




						def __init__(   self       ,  snake_case__			):
												'''simple docstring'''
												lowercase__				:      int=       vertices
												lowercase__				:      int=       [[0] * vertices for _ in range(snake_case__			)]




						def 		UpperCAmelCase_       (   self       ,  snake_case__			):
												'''simple docstring'''
												print("Vertex \t Distance from Source"			)
												for vertex in range(self.vertices			):
																		print(snake_case__       ,  "\t\t"       ,  distances_from_source[vertex]			)




						def 		UpperCAmelCase_       (   self       ,  snake_case__       ,  snake_case__			):
												'''simple docstring'''
												lowercase__				:      Union[str, Any]=       1e7
												lowercase__				:      Optional[int]=       0

												# Search not nearest vertex not in the shortest path tree
												for vertex in range(self.vertices			):
																		if distances_from_source[vertex] < minimum and visited[vertex] is False:
																								lowercase__				:      Union[str, Any]=       distances_from_source[vertex]
																								lowercase__				:      Optional[Any]=       vertex
												return min_index




						def 		UpperCAmelCase_       (   self       ,  snake_case__			):
												'''simple docstring'''
												lowercase__				:      List[str]=       [int(1e7			)] * self.vertices  # distances from the source
												lowercase__				:      Any=       0
												lowercase__				:      Union[str, Any]=       [False] * self.vertices

												for _ in range(self.vertices			):
																		lowercase__				:      Tuple=       self.minimum_distance(snake_case__       ,  snake_case__			)
																		lowercase__				:      Union[str, Any]=       True

																		# Update dist value of the adjacent vertices
																		# of the picked vertex only if the current
																		# distance is greater than new distance and
																		# the vertex in not in the shortest path tree
																		for v in range(self.vertices			):
																								if (
																								    self.graph[u][v] > 0
																								    and visited[v] is False
																								    and distances[v] > distances[u] + self.graph[u][v]
																								):
																														lowercase__				:      List[Any]=       distances[u] + self.graph[u][v]

												self.print_solution(snake_case__			)


if __name__ == "__main__":
			a :				str      					=		Graph(9)
			a :				List[str]      					=		[
			    [0, 4, 0, 0, 0, 0, 0, 8, 0],
			    [4, 0, 8, 0, 0, 0, 0, 11, 0],
			    [0, 8, 0, 7, 0, 4, 0, 0, 2],
			    [0, 0, 7, 0, 9, 14, 0, 0, 0],
			    [0, 0, 0, 9, 0, 10, 0, 0, 0],
			    [0, 0, 4, 14, 10, 0, 2, 0, 0],
			    [0, 0, 0, 0, 0, 2, 0, 1, 6],
			    [8, 11, 0, 0, 0, 0, 1, 0, 7],
			    [0, 0, 2, 0, 0, 0, 6, 7, 0],
			]
			graph.dijkstra(0)














"""simple docstring"""







import math
from decimal import Decimal, getcontext





def 						lowercase__(A = 4_000_000						)				->int:




						"""simple docstring"""



						try:
												lowercase__				:      int=       int(A						)
						except (TypeError, ValueError):
												raise TypeError("Parameter n must be int or castable to int."						)
						if n <= 0:
												raise ValueError("Parameter n must be greater than or equal to one."						)
						lowercase__				:      Dict=       100
						lowercase__				:      Optional[Any]=       (Decimal(5						) ** Decimal(0.5						) + 1) / Decimal(2						)

						lowercase__				:      str=       (math.floor(math.log(n * (phi + 2)					,		A						) - 1						) // 3) * 3 + 2
						lowercase__				:      Optional[Any]=       Decimal(round(phi ** Decimal(index + 1						)						)						) / (phi + 2)
						lowercase__				:      Tuple=       num // 2
						return int(A						)


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






