





'''simple docstring'''

def 							UpperCAmelCase_    (	lowerCAmelCase_							):

				"""simple docstring"""






				lowercase         = 0
				lowercase         = len(lowercase_							)

				for i in range(n - 1							):
								for j in range(i + 1		,							lowercase_							):
												if arr[i] > arr[j]:
																num_inversions += 1

				return num_inversions







def 							UpperCAmelCase_    (	lowerCAmelCase_							):

				"""simple docstring"""






				if len(lowercase_							) <= 1:
								return arr, 0
				lowercase         = len(lowercase_							) // 2
				lowercase         = arr[0:mid]
				lowercase         = arr[mid:]

				lowercase         = count_inversions_recursive(lowercase_							)
				lowercase         = count_inversions_recursive(lowercase_							)
				lowercase         = _count_cross_inversions(lowercase_		,							lowercase_							)

				lowercase         = inversion_p + inversions_q + cross_inversions
				return c, num_inversions







def 							UpperCAmelCase_    (	lowerCAmelCase_		,							lowerCAmelCase_							):

				"""simple docstring"""






				lowercase         = []
				lowercase         = 0
				while i < len(lowercase_							) and j < len(lowercase_							):
								if p[i] > q[j]:
												# if P[1] > Q[j], then P[k] > Q[k] for all  i < k <= len(P)
												# These are all inversions. The claim emerges from the
												# property that P is sorted.
												num_inversion += len(lowercase_							) - i
												r.append(q[j]							)
												j += 1
								else:
												r.append(p[i]							)
												i += 1

				if i < len(lowercase_							):
								r.extend(p[i:]							)
				else:
								r.extend(q[j:]							)

				return r, num_inversion







def 							UpperCAmelCase_    (	):

				"""simple docstring"""






				lowercase         = [10, 2, 1, 5, 5, 2, 11]

				# this arr has 8 inversions:
				# (10, 2), (10, 1), (10, 5), (10, 5), (10, 2), (2, 1), (5, 2), (5, 2)

				lowercase         = count_inversions_bf(lowercase_							)
				lowercase         = count_inversions_recursive(lowercase_							)

				assert num_inversions_bf == num_inversions_recursive == 8

				print("number of inversions = "		,							lowercase_							)

				# testing an array with zero inversion (a sorted arr_1)

				arr_a.sort()
				lowercase         = count_inversions_bf(lowercase_							)
				lowercase         = count_inversions_recursive(lowercase_							)

				assert num_inversions_bf == num_inversions_recursive == 0
				print("number of inversions = "		,							lowercase_							)

				# an empty list should also have zero inversions
				lowercase         = []
				lowercase         = count_inversions_bf(lowercase_							)
				lowercase         = count_inversions_recursive(lowercase_							)

				assert num_inversions_bf == num_inversions_recursive == 0
				print("number of inversions = "		,							lowercase_							)


if __name__ == "__main__":
			main()











'''simple docstring'''

import copy
from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import ClassLabel, Features, Image
from .base import TaskTemplate

@dataclass(frozen=_lowercase  )
class       UpperCAmelCase (						_lowercase  ):
		UpperCAmelCase					:	str 			=		field(default='''image-classification'''			,       metadata={'''include_in_asdict_even_if_is_default''': True}  )
		UpperCAmelCase					:	ClassVar[Features] 			=		Features({'''image''': Image()}  )
		UpperCAmelCase					:	ClassVar[Features] 			=		Features({'''labels''': ClassLabel}  )
		UpperCAmelCase					:	str 			=		"image"
		UpperCAmelCase					:	str 			=		"labels"




		def 				UpperCAmelCase__   (self      :	List[str]							,			A__      :	Union[str, Any]				)					-> Union[str, Any]:
						if self.label_column not in features:
										raise ValueError(f'Column {self.label_column} is not present in features.'				)
						if not isinstance(features[self.label_column]							,			A__				):
										raise ValueError(f'Column {self.label_column} is not a ClassLabel.'				)
						lowercase         = copy.deepcopy(self				)
						lowercase         = self.label_schema.copy()
						lowercase         = features[self.label_column]
						lowercase         = label_schema
						return task_template





		@property
		def 				UpperCAmelCase__   (self      :	List[Any]				)					-> Dict[str, str]:
						return {
						    self.image_column: "image",
						    self.label_column: "labels",
						}




