




'''simple docstring'''





from __future__ import annotations

import os
from collections.abc import Mapping

_SCREAMING_SNAKE_CASE							:   Tuple      		= tuple[int, int]




class  _snake_case		:




			def __init__(					self				,							a__				,							a__							)				->				None:

										'''simple docstring'''




										snake_case_						=      vertices
										snake_case_						=      {
										    (min(a__							), max(a__							)): weight for edge, weight in edges.items()
										}




			def    lowerCAmelCase__				(					self				,							a__				,							a__							)				->				None:

										'''simple docstring'''




										self.vertices.add(edge[0]							)
										self.vertices.add(edge[1]							)
										snake_case_						=      weight




			def    lowerCAmelCase__				(					self							)				->				Graph:

										'''simple docstring'''




										snake_case_						=      Graph({min(self.vertices							)}				,							{}							)
										snake_case_						=      42
										snake_case_						=      42
										snake_case_						=      42
										snake_case_						=      42

										while len(subgraph.vertices							) < len(self.vertices							):
																	snake_case_						=      max(self.edges.values()							) + 1
																	for edge, weight in self.edges.items():
																								if (edge[0] in subgraph.vertices) ^ (edge[1] in subgraph.vertices):
																															if weight < min_weight:
																																						snake_case_						=      edge
																																						snake_case_						=      weight

																	subgraph.add_edge(a__				,							a__							)

										return subgraph


def      UpperCamelCase_(	snake_case							:       str = "p107_network.txt"     ):

							'''simple docstring'''






							snake_case_						=      os.path.abspath(os.path.dirname(snake_case     )     )
							snake_case_						=      os.path.join(snake_case							,				snake_case     )
							snake_case_						=      {}
							snake_case_						=      42
							snake_case_						=      42
							snake_case_						=      42

							with open(snake_case     ) as f:
														snake_case_						=      f.read().strip().split("\n"     )

							snake_case_						=      [line.split(","     ) for line in data]

							for edgea in range(1							,				len(snake_case     )     ):
														for edgea in range(snake_case     ):
																					if adjaceny_matrix[edgea][edgea] != "-":
																												snake_case_						=      int(adjaceny_matrix[edgea][edgea]     )

							snake_case_						=      Graph(set(range(len(snake_case     )     )     )							,				snake_case     )

							snake_case_						=      graph.prims_algorithm()

							snake_case_						=      sum(graph.edges.values()     )
							snake_case_						=      sum(subgraph.edges.values()     )

							return initial_total - optimal_total


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









import numpy as np

class 		UpperCAmelCase__			:




			'''simple docstring'''






			def __init__(   self							: List[Any] ):
					'''simple docstring'''





					__UpperCAmelCase    :     Optional[Any]													=	(0, 0)
					__UpperCAmelCase    :     List[str]													=	None
					__UpperCAmelCase    :     int													=	0
					__UpperCAmelCase    :     Union[str, Any]													=	0
					__UpperCAmelCase    :     List[Any]													=	0




			def __eq__(   self							: Optional[int]       ,       a_							: List[Any] ):
					'''simple docstring'''





					return self.position == cell.position




			def  snake_case__     (   self							: List[Any] ):
					'''simple docstring'''





					print(self.position )

class 		UpperCAmelCase__			:




			'''simple docstring'''






			def __init__(   self							: str       ,       a_							: Dict=(5, 5) ):
					'''simple docstring'''





					__UpperCAmelCase    :     str													=	np.zeros(a_ )
					__UpperCAmelCase    :     List[Any]													=	world_size[0]
					__UpperCAmelCase    :     List[str]													=	world_size[1]




			def  snake_case__     (   self							: Tuple ):
					'''simple docstring'''





					print(self.w )




			def  snake_case__     (   self							: Union[str, Any]       ,       a_							: Tuple ):
					'''simple docstring'''





					__UpperCAmelCase    :     Optional[Any]													=	[
					    (-1, -1),
					    (-1, 0),
					    (-1, 1),
					    (0, -1),
					    (0, 1),
					    (1, -1),
					    (1, 0),
					    (1, 1),
					]
					__UpperCAmelCase    :     str													=	cell.position[0]
					__UpperCAmelCase    :     List[Any]													=	cell.position[1]
					__UpperCAmelCase    :     str													=	[]
					for n in neughbour_cord:
							__UpperCAmelCase    :     Optional[Any]													=	current_x + n[0]
							__UpperCAmelCase    :     Any													=	current_y + n[1]
							if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit:
									__UpperCAmelCase    :     int													=	Cell()
									__UpperCAmelCase    :     List[str]													=	(x, y)
									__UpperCAmelCase    :     List[Any]													=	cell
									neighbours.append(a_ )
					return neighbours

def        a						(      _UpperCAmelCase							:					List[Any] ,   _UpperCAmelCase							:					Any ,   _UpperCAmelCase							:					int						):







		'''simple docstring'''





		__UpperCAmelCase    :     List[Any]													=	[]
		__UpperCAmelCase    :     Optional[Any]													=	[]
		_open.append(_UpperCAmelCase						)

		while _open:
				__UpperCAmelCase    :     str													=	np.argmin([n.f for n in _open]						)
				__UpperCAmelCase    :     Optional[Any]													=	_open[min_f]
				_closed.append(_open.pop(_UpperCAmelCase						)						)
				if current == goal:
						break
				for n in world.get_neigbours(_UpperCAmelCase						):
						for c in _closed:
								if c == n:
										continue
						__UpperCAmelCase    :     Optional[Any]													=	current.g + 1
						__UpperCAmelCase							,					__UpperCAmelCase    :     Union[str, Any]													=	n.position
						__UpperCAmelCase							,					__UpperCAmelCase    :     Tuple													=	goal.position
						__UpperCAmelCase    :     Union[str, Any]													=	(ya - ya) ** 2 + (xa - xa) ** 2
						__UpperCAmelCase    :     Optional[Any]													=	n.h + n.g

						for c in _open:
								if c == n and c.f < n.f:
										continue
						_open.append(_UpperCAmelCase						)
		__UpperCAmelCase    :     str													=	[]
		while current.parent is not None:
				path.append(current.position						)
				__UpperCAmelCase    :     int													=	current.parent
		path.append(current.position						)
		return path[::-1]


if __name__ == "__main__":
				__A   			=Gridworld()
				# Start position and goal
				__A   			=Cell()
				__A   			=(0, 0)
				__A   			=Cell()
				__A   			=(4, 4)
				print(f'''path from {start.position} to {goal.position}''')
				__A   			=astar(world, start, goal)
				#   Just for visual reasons.
				for i in s:
								__A   			=1
				print(world.w)





