
def 			_SCREAMING_SNAKE_CASE      (	_lowerCamelCase				:    Union[str, Any])      ->					Union[str, Any]:






							'''simple docstring'''





							__UpperCamelCase			:     List[Any]         =      0
							__UpperCamelCase			:     str         =      len(_lowerCamelCase)

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

							return num_inversions




def 			_SCREAMING_SNAKE_CASE      (	_lowerCamelCase				:    Dict)      ->					Dict:






							'''simple docstring'''





							if len(_lowerCamelCase) <= 1:
														return arr, 0
							__UpperCamelCase			:     Union[str, Any]         =      len(_lowerCamelCase) // 2
							__UpperCamelCase			:     str         =      arr[0:mid]
							__UpperCamelCase			:     int         =      arr[mid:]

							__UpperCamelCase     ,		__UpperCamelCase			:     int         =      count_inversions_recursive(_lowerCamelCase)
							__UpperCamelCase     ,		__UpperCamelCase			:     Dict         =      count_inversions_recursive(_lowerCamelCase)
							__UpperCamelCase     ,		__UpperCamelCase			:     Union[str, Any]         =      _count_cross_inversions(_lowerCamelCase		,						_lowerCamelCase)

							__UpperCamelCase			:     Union[str, Any]         =      inversion_p + inversions_q + cross_inversions
							return c, num_inversions




def 			_SCREAMING_SNAKE_CASE      (	_lowerCamelCase				:    Union[str, Any]		,						_lowerCamelCase				:    List[Any])      ->					int:






							'''simple docstring'''





							__UpperCamelCase			:     Union[str, Any]         =      []
							__UpperCamelCase			:     Optional[int]         =      0
							while i < len(_lowerCamelCase) and j < len(_lowerCamelCase):
														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(_lowerCamelCase) - i
																					r.append(q[j])
																					j += 1
														else:
																					r.append(p[i])
																					i += 1

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

							return r, num_inversion




def 			_SCREAMING_SNAKE_CASE      (	)      ->					Optional[int]:






							'''simple docstring'''





							__UpperCamelCase			:     Optional[int]         =      [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)

							__UpperCamelCase			:     List[str]         =      count_inversions_bf(_lowerCamelCase)
							__UpperCamelCase     ,		__UpperCamelCase			:     Union[str, Any]         =      count_inversions_recursive(_lowerCamelCase)

							assert num_inversions_bf == num_inversions_recursive == 8

							print("number of inversions = "		,						_lowerCamelCase)

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

							arr_a.sort()
							__UpperCamelCase			:     Any         =      count_inversions_bf(_lowerCamelCase)
							__UpperCamelCase     ,		__UpperCamelCase			:     List[Any]         =      count_inversions_recursive(_lowerCamelCase)

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

							# an empty list should also have zero inversions
							__UpperCamelCase			:     str         =      []
							__UpperCamelCase			:     int         =      count_inversions_bf(_lowerCamelCase)
							__UpperCamelCase     ,		__UpperCamelCase			:     Optional[int]         =      count_inversions_recursive(_lowerCamelCase)

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


if __name__ == "__main__":
		main()

from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


lowercase						:      Tuple									= {
    'configuration_swinv2': ['SWINV2_PRETRAINED_CONFIG_ARCHIVE_MAP', 'Swinv2Config'],
}


try:
		if not is_torch_available():
				raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
		pass
else:
		lowercase						:      Union[str, Any]									= [
		    'SWINV2_PRETRAINED_MODEL_ARCHIVE_LIST',
		    'Swinv2ForImageClassification',
		    'Swinv2ForMaskedImageModeling',
		    'Swinv2Model',
		    'Swinv2PreTrainedModel',
		]


if TYPE_CHECKING:
		from .configuration_swinva import SWINV2_PRETRAINED_CONFIG_ARCHIVE_MAP, SwinvaConfig

		try:
				if not is_torch_available():
						raise OptionalDependencyNotAvailable()
		except OptionalDependencyNotAvailable:
				pass
		else:
				from .modeling_swinva import (
				    SWINV2_PRETRAINED_MODEL_ARCHIVE_LIST,
				    SwinvaForImageClassification,
				    SwinvaForMaskedImageModeling,
				    SwinvaModel,
				    SwinvaPreTrainedModel,
				)


else:
		import sys

		lowercase						:      Optional[Any]									= _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)