


'''simple docstring'''

from __future__ import annotations

from typing import Generic, TypeVar

_UpperCAmelCase				: Union[str, Any]							    =				TypeVar("""T""")


class       a__				( Generic[T]      ):







				"""simple docstring"""



				def __init__(self       ,			__lowercase		):
										__lowerCAmelCase							       =				data
										__lowerCAmelCase							       =				self
										__lowerCAmelCase							       =				0


class       a__				( Generic[T]      ):







				"""simple docstring"""



				def __init__(self		):
										# map from node name to the node object
										__lowerCAmelCase							       =				{}




				def 					_snake_case  (self       ,			__lowercase		):
										# create a new set with x as its member
										__lowerCAmelCase							       =				DisjointSetTreeNode(__lowercase		)




				def 					_snake_case  (self       ,			__lowercase		):
										# find the set x belongs to (with path-compression)
										__lowerCAmelCase							       =				self.map[data]
										if elem_ref != elem_ref.parent:
																__lowerCAmelCase							       =				self.find_set(elem_ref.parent.data		)
										return elem_ref.parent




				def 					_snake_case  (self       ,			__lowercase       ,			__lowercase		):
										# helper function for union operation
										if nodea.rank > nodea.rank:
																__lowerCAmelCase							       =				nodea
										else:
																__lowerCAmelCase							       =				nodea
																if nodea.rank == nodea.rank:
																						nodea.rank += 1




				def 					_snake_case  (self       ,			__lowercase       ,			__lowercase		):
										# merge 2 disjoint sets
										self.link(self.find_set(__lowercase		)       ,			self.find_set(__lowercase		)		)


class       a__				( Generic[T]      ):







				"""simple docstring"""



				def __init__(self		):
										# connections: map from the node to the neighbouring nodes (with weights)
										__lowerCAmelCase							       =				{}




				def 					_snake_case  (self       ,			__lowercase		):
										# add a node ONLY if its not present in the graph
										if node not in self.connections:
																__lowerCAmelCase							       =				{}




				def 					_snake_case  (self       ,			__lowercase       ,			__lowercase       ,			__lowercase		):
										# add an edge with the given weight
										self.add_node(__lowercase		)
										self.add_node(__lowercase		)
										__lowerCAmelCase							       =				weight
										__lowerCAmelCase							       =				weight




				def 					_snake_case  (self		):
										__lowerCAmelCase							       =				[]
										__lowerCAmelCase							       =				set()
										for start in self.connections:
																for end in self.connections[start]:
																						if (start, end) not in seen:
																												seen.add((end, start)		)
																												edges.append((start, end, self.connections[start][end])		)
										edges.sort(key=lambda __lowercase		: x[2]		)

										# creating the disjoint set
										__lowerCAmelCase							       =				DisjointSetTree[T]()
										for node in self.connections:
																disjoint_set.make_set(__lowercase		)

										# MST generation
										__lowerCAmelCase							       =				0
										__lowerCAmelCase							       =				0
										__lowerCAmelCase							       =				GraphUndirectedWeighted[T]()
										while num_edges < len(self.connections		) - 1:
																__lowerCAmelCase       ,					__lowerCAmelCase       ,					__lowerCAmelCase							       =				edges[index]
																index += 1
																__lowerCAmelCase							       =				disjoint_set.find_set(__lowercase		)
																__lowerCAmelCase							       =				disjoint_set.find_set(__lowercase		)
																if parent_u != parent_v:
																						num_edges += 1
																						graph.add_edge(__lowercase       ,			__lowercase       ,			__lowercase		)
																						disjoint_set.union(__lowercase       ,			__lowercase		)
										return graph





'''simple docstring'''

from PIL import Image

def 							__magic_name__(						lowerCamelCase,				lowerCamelCase):

						def brightness(lowerCamelCase) -> float:
												return 1_2_8 + level + (c - 1_2_8)

						if not -2_55.0 <= level <= 2_55.0:
												raise ValueError('''level must be between -255.0 (black) and 255.0 (white)''')
						return img.point(lowerCamelCase)


if __name__ == "__main__":
	# Load image
	with Image.open("""image_data/lena.jpg""") as img:
		# Change brightness to 100
		_UpperCAmelCase				: str							    =				change_brightness(img, 1_0_0)
		brigt_img.save("""image_data/lena_brightness.png""", format="""png""")

