



def A						(       __UpperCamelCase					)						->      str:
			A__       =    0
			A__       =    len(__UpperCamelCase					)

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

			return num_inversions


def A						(       __UpperCamelCase					)						->      Dict:
			if len(__UpperCamelCase					) <= 1:
						return arr, 0
			A__       =    len(__UpperCamelCase					) // 2
			A__       =    arr[0:mid]
			A__       =    arr[mid:]

			A__     , A__       =    count_inversions_recursive(__UpperCamelCase					)
			A__     , A__       =    count_inversions_recursive(__UpperCamelCase					)
			A__     , A__       =    _count_cross_inversions(__UpperCamelCase ,	__UpperCamelCase					)

			A__       =    inversion_p + inversions_q + cross_inversions
			return c, num_inversions


def A						(       __UpperCamelCase ,	__UpperCamelCase					)						->      Optional[int]:
			A__       =    []
			A__       =    A__       =    A__       =    0
			while i < len(__UpperCamelCase					) and j < len(__UpperCamelCase					):
						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(__UpperCamelCase					) - i
									r.append(q[j]					)
									j += 1
						else:
									r.append(p[i]					)
									i += 1

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

			return r, num_inversion


def A						(       )						->      List[str]:
			A__       =    [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)

			A__       =    count_inversions_bf(__UpperCamelCase					)
			A__     , A__       =    count_inversions_recursive(__UpperCamelCase					)

			assert num_inversions_bf == num_inversions_recursive == 8

			print('number of inversions = ' ,	__UpperCamelCase					)

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

			arr_a.sort()
			A__       =    count_inversions_bf(__UpperCamelCase					)
			A__     , A__       =    count_inversions_recursive(__UpperCamelCase					)

			assert num_inversions_bf == num_inversions_recursive == 0
			print('number of inversions = ' ,	__UpperCamelCase					)

			# an empty list should also have zero inversions
			A__       =    []
			A__       =    count_inversions_bf(__UpperCamelCase					)
			A__     , A__       =    count_inversions_recursive(__UpperCamelCase					)

			assert num_inversions_bf == num_inversions_recursive == 0
			print('number of inversions = ' ,	__UpperCamelCase					)


if __name__ == "__main__":
		main()









from typing import TYPE_CHECKING

from ..utils import _LazyModule


SCREAMING_SNAKE_CASE__       =      {
    '''config''': [
        '''EXTERNAL_DATA_FORMAT_SIZE_LIMIT''',
        '''OnnxConfig''',
        '''OnnxConfigWithPast''',
        '''OnnxSeq2SeqConfigWithPast''',
        '''PatchingSpec''',
    ],
    '''convert''': ['''export''', '''validate_model_outputs'''],
    '''features''': ['''FeaturesManager'''],
    '''utils''': ['''ParameterFormat''', '''compute_serialized_parameters_size'''],
}


if TYPE_CHECKING:
							from .config import (
							    EXTERNAL_DATA_FORMAT_SIZE_LIMIT,
							    OnnxConfig,
							    OnnxConfigWithPast,
							    OnnxSeqaSeqConfigWithPast,
							    PatchingSpec,
							)
							from .convert import export, validate_model_outputs
							from .features import FeaturesManager
							from .utils import ParameterFormat, compute_serialized_parameters_size

else:
							import sys

							SCREAMING_SNAKE_CASE__       =      _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)




