def        lowerCamelCase_					(     UpperCamelCase__       :						Dict,		UpperCamelCase__       :						Any,		UpperCamelCase__       :						Tuple,		UpperCamelCase__       :						Union[str, Any]			):







				'''simple docstring'''







				UpperCamelCase__					=				[False] * len(UpperCamelCase__			)
				UpperCamelCase__					=				[]
				queue.append(UpperCamelCase__			)
				UpperCamelCase__					=				True

				while queue:
								UpperCamelCase__					=				queue.pop(0			)
								for ind in range(len(graph[u]			)			):
												if visited[ind] is False and graph[u][ind] > 0:
																queue.append(UpperCamelCase__			)
																UpperCamelCase__					=				True
																UpperCamelCase__					=				u

				return visited[t]






def        lowerCamelCase_					(     UpperCamelCase__       :						Union[str, Any],		UpperCamelCase__       :						str,		UpperCamelCase__       :						Optional[int]			):







				'''simple docstring'''







				UpperCamelCase__					=				[-1] * (len(UpperCamelCase__			))
				UpperCamelCase__					=				0
				while bfs(UpperCamelCase__,		UpperCamelCase__,		UpperCamelCase__,		UpperCamelCase__			):
								UpperCamelCase__					=				float('''Inf'''			)
								UpperCamelCase__					=				sink

								while s != source:
												# Find the minimum value in select path
												UpperCamelCase__					=				min(UpperCamelCase__,		graph[parent[s]][s]			)
												UpperCamelCase__					=				parent[s]

								max_flow += path_flow
								UpperCamelCase__					=				sink

								while v != source:
												UpperCamelCase__					=				parent[v]
												graph[u][v] -= path_flow
												graph[v][u] += path_flow
												UpperCamelCase__					=				parent[v]
				return max_flow


lowercase									=				[
    [0, 1_6, 1_3, 0, 0, 0],
    [0, 0, 1_0, 1_2, 0, 0],
    [0, 4, 0, 0, 1_4, 0],
    [0, 0, 9, 0, 0, 2_0],
    [0, 0, 0, 7, 0, 4],
    [0, 0, 0, 0, 0, 0],
]

lowercase									=				0, 5







print(ford_fulkerson(graph, source, sink))





import numpy as np





class   UpperCamelCase_      :







						'''simple docstring'''



						def __init__(			self							:List[Any]     )  ->Any:
										lowercase         =      (0, 0)
										lowercase         =      None
										lowercase         =      0
										lowercase         =      0
										lowercase         =      0





						def __eq__(			self							:Optional[int]		,    lowerCAmelCase__							:Any     )  ->Optional[int]:
										return self.position == cell.position





						def        SCREAMING_SNAKE_CASE(			self							:Optional[Any]     )  ->Optional[Any]:
										print(self.position     )





class   UpperCamelCase_      :







						'''simple docstring'''



						def __init__(			self							:Optional[Any]		,    lowerCAmelCase__							:Tuple=(5, 5)     )  ->str:
										lowercase         =      np.zeros(lowerCAmelCase__     )
										lowercase         =      world_size[0]
										lowercase         =      world_size[1]





						def        SCREAMING_SNAKE_CASE(			self							:List[Any]     )  ->Optional[int]:
										print(self.w     )





						def        SCREAMING_SNAKE_CASE(			self							:Optional[int]		,    lowerCAmelCase__							:Optional[Any]     )  ->Optional[Any]:
										lowercase         =      [
										    (-1, -1),
										    (-1, 0),
										    (-1, 1),
										    (0, -1),
										    (0, 1),
										    (1, -1),
										    (1, 0),
										    (1, 1),
										]
										lowercase         =      cell.position[0]
										lowercase         =      cell.position[1]
										lowercase         =      []
										for n in neughbour_cord:
														lowercase         =      current_x + n[0]
														lowercase         =      current_y + n[1]
														if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit:
																		lowercase         =      Cell()
																		lowercase         =      (x, y)
																		lowercase         =      cell
																		neighbours.append(lowerCAmelCase__     )
										return neighbours




def  __snake_case							(	__magic_name__		,    __magic_name__		,    __magic_name__						):







				'''simple docstring'''


				lowercase         =      []
				lowercase         =      []
				_open.append(__magic_name__						)

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

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


if __name__ == "__main__":
						_snake_case      :							Optional[int]     	=    Gridworld()
						# Start position and goal
						_snake_case      :							Dict     	=    Cell()
						_snake_case      :							List[str]     	=    (0, 0)
						_snake_case      :							Union[str, Any]     	=    Cell()
						_snake_case      :							List[Any]     	=    (4, 4)
						print(F"path from {start.position} to {goal.position}")
						_snake_case      :							str     	=    astar(world, start, goal)
						#   Just for visual reasons.
						for i in s:
												_snake_case      :							List[Any]     	=    1
						print(world.w)
