




from __future__ import annotations

from typing import Generic, TypeVar

__A								=       TypeVar("T")







class        __lowerCAmelCase					(			Generic[T]					):

			"""simple docstring"""







			def __init__( self     ,		lowerCamelCase__				)       -> None:



							'''simple docstring'''
							__lowerCamelCase									=       data
							__lowerCamelCase									=       self
							__lowerCamelCase									=       0







class        __lowerCAmelCase					(			Generic[T]					):

			"""simple docstring"""







			def __init__( self				)       -> None:



							'''simple docstring'''
							# map from node name to the node object
							__lowerCamelCase									=       {}


			def  lowercase_       ( self     ,		lowerCamelCase__				)       -> None:



							'''simple docstring'''
							# create a new set with x as its member
							__lowerCamelCase									=       DisjointSetTreeNode(lowerCamelCase__				)


			def  lowercase_       ( self     ,		lowerCamelCase__				)       -> DisjointSetTreeNode[T]:



							'''simple docstring'''
							# 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  lowercase_       ( self     ,		lowerCamelCase__     ,		lowerCamelCase__				)       -> None:



							'''simple docstring'''
							# helper function for union operation
							if nodea.rank > nodea.rank:
											__lowerCamelCase									=       nodea
							else:
											__lowerCamelCase									=       nodea
											if nodea.rank == nodea.rank:
															nodea.rank += 1






			def  lowercase_       ( self     ,		lowerCamelCase__     ,		lowerCamelCase__				)       -> None:



							'''simple docstring'''
							# merge 2 disjoint sets
							self.link(self.find_set(lowerCamelCase__				)     ,		self.find_set(lowerCamelCase__				)				)







class        __lowerCAmelCase					(			Generic[T]					):

			"""simple docstring"""







			def __init__( self				)       -> None:



							'''simple docstring'''
							# connections: map from the node to the neighbouring nodes (with weights)
							__lowerCamelCase									=       {}


			def  lowercase_       ( self     ,		lowerCamelCase__				)       -> None:



							'''simple docstring'''
							# add a node ONLY if its not present in the graph
							if node not in self.connections:
											__lowerCamelCase									=       {}


			def  lowercase_       ( self     ,		lowerCamelCase__     ,		lowerCamelCase__     ,		lowerCamelCase__				)       -> None:



							'''simple docstring'''
							# add an edge with the given weight
							self.add_node(lowerCamelCase__				)
							self.add_node(lowerCamelCase__				)
							__lowerCamelCase									=       weight
							__lowerCamelCase									=       weight






			def  lowercase_       ( self				)       -> GraphUndirectedWeighted[T]:



							'''simple docstring'''
							__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 lowerCamelCase__				: x[2]				)

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

							# 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(lowerCamelCase__				)
											__lowerCamelCase									=       disjoint_set.find_set(lowerCamelCase__				)
											if parent_u != parent_v:
															num_edges += 1
															graph.add_edge(lowerCamelCase__     ,		lowerCamelCase__     ,		lowerCamelCase__				)
															disjoint_set.union(lowerCamelCase__     ,		lowerCamelCase__				)
							return graph








import importlib.metadata
import operator
import re
import sys
from typing import Optional

from packaging import version


__A								=       {
    "<": operator.lt,
    "<=": operator.le,
    "==": operator.eq,
    "!=": operator.ne,
    ">=": operator.ge,
    ">": operator.gt,
}







def      lowerCamelCase_						(			UpperCamelCase__							: List[str]					,	UpperCamelCase__							: Dict					,	UpperCamelCase__							: Dict					,	UpperCamelCase__							: Any					,	UpperCamelCase__							: Dict					,	UpperCamelCase__							: int )	->			List[Any]:





				"""simple docstring"""


				if got_ver is None or want_ver is None:
								raise ValueError(
								    F"""Unable to compare versions for {requirement}: need={want_ver} found={got_ver}. This is unusual. Consider"""
								    F""" reinstalling {pkg}.""" )
				if not ops[op](version.parse(UpperCamelCase__ )					,	version.parse(UpperCamelCase__ ) ):
								raise ImportError(
								    F"""{requirement} is required for a normal functioning of this module, but found {pkg}=={got_ver}.{hint}""" )







def      lowerCamelCase_						(			UpperCamelCase__							: str					,	UpperCamelCase__							: Optional[str] = None )	->			None:





				"""simple docstring"""


				__lowerCamelCase									=       F"""\n{hint}""" if hint is not None else ''

				# non-versioned check
				if re.match(R'^[\w_\-\d]+$'					,	UpperCamelCase__ ):
								__lowerCamelCase			,		__lowerCamelCase			,		__lowerCamelCase									=       requirement, None, None
				else:
								__lowerCamelCase									=       re.findall(R'^([^!=<>\s]+)([\s!=<>]{1,2}.+)'					,	UpperCamelCase__ )
								if not match:
												raise ValueError(
												    'requirement needs to be in the pip package format, .e.g., package_a==1.23, or package_b>=1.23, but'
												    F""" got {requirement}""" )
								__lowerCamelCase			,		__lowerCamelCase									=       match[0]
								__lowerCamelCase									=       want_full.split(',' )  # there could be multiple requirements
								__lowerCamelCase									=       {}
								for w in want_range:
												__lowerCamelCase									=       re.findall(R'^([\s!=<>]{1,2})(.+)'					,	UpperCamelCase__ )
												if not match:
																raise ValueError(
																    'requirement needs to be in the pip package format, .e.g., package_a==1.23, or package_b>=1.23,'
																    F""" but got {requirement}""" )
												__lowerCamelCase			,		__lowerCamelCase									=       match[0]
												__lowerCamelCase									=       want_ver
												if op not in ops:
																raise ValueError(F"""{requirement}: need one of {list(ops.keys() )}, but got {op}""" )

    # special case
				if pkg == "python":
								__lowerCamelCase									=       '.'.join([str(UpperCamelCase__ ) for x in sys.version_info[:3]] )
								for op, want_ver in wanted.items():
												_compare_versions(UpperCamelCase__					,	UpperCamelCase__					,	UpperCamelCase__					,	UpperCamelCase__					,	UpperCamelCase__					,	UpperCamelCase__ )
								return

				# check if any version is installed
				try:
								__lowerCamelCase									=       importlib.metadata.version(UpperCamelCase__ )
				except importlib.metadata.PackageNotFoundError:
								raise importlib.metadata.PackageNotFoundError(
								    F"""The '{requirement}' distribution was not found and is required by this application. {hint}""" )

				# check that the right version is installed if version number or a range was provided
				if want_ver is not None:
								for op, want_ver in wanted.items():
												_compare_versions(UpperCamelCase__					,	UpperCamelCase__					,	UpperCamelCase__					,	UpperCamelCase__					,	UpperCamelCase__					,	UpperCamelCase__ )







def      lowerCamelCase_						(			UpperCamelCase__							: Optional[int] )	->			Optional[int]:





				"""simple docstring"""


				__lowerCamelCase									=       'Try: pip install transformers -U or pip install -e \'.[dev]\' if you\'re working with git main'
				return require_version(UpperCamelCase__					,	UpperCamelCase__ )


