





def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase )			->     Tuple:
    lowerCamelCase__    :      int					 =		0
    lowerCamelCase__    :      Tuple					 =		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        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase )			->     Union[str, Any]:
    if len(_UpperCAmelCase ) <= 1:
        return arr, 0
    lowerCamelCase__    :      Tuple					 =		len(_UpperCAmelCase ) // 2
    lowerCamelCase__    :      Union[str, Any]					 =		arr[0:mid]
    lowerCamelCase__    :      List[Any]					 =		arr[mid:]

    lowerCamelCase__ ,							lowerCamelCase__    :      Optional[Any]					 =		count_inversions_recursive(_UpperCAmelCase )
    lowerCamelCase__ ,							lowerCamelCase__    :      str					 =		count_inversions_recursive(_UpperCAmelCase )
    lowerCamelCase__ ,							lowerCamelCase__    :      Dict					 =		_count_cross_inversions(_UpperCAmelCase						,	_UpperCAmelCase )

    lowerCamelCase__    :      Any					 =		inversion_p + inversions_q + cross_inversions
    return c, num_inversions


def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase						,	_UpperCAmelCase )			->     Tuple:
    lowerCamelCase__    :      Union[str, Any]					 =		[]
    lowerCamelCase__    :      Tuple					 =		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        SCREAMING_SNAKE_CASE      (       )			->     str:
    lowerCamelCase__    :      str					 =		[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)

    lowerCamelCase__    :      Dict					 =		count_inversions_bf(_UpperCAmelCase )
    lowerCamelCase__ ,							lowerCamelCase__    :      int					 =		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()
    lowerCamelCase__    :      Optional[Any]					 =		count_inversions_bf(_UpperCAmelCase )
    lowerCamelCase__ ,							lowerCamelCase__    :      Optional[int]					 =		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
    lowerCamelCase__    :      Optional[int]					 =		[]
    lowerCamelCase__    :      str					 =		count_inversions_bf(_UpperCAmelCase )
    lowerCamelCase__ ,							lowerCamelCase__    :      Any					 =		count_inversions_recursive(_UpperCAmelCase )

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


if __name__ == "__main__":
    main()












# Copyright 2021 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

import argparse
import os

from accelerate.test_utils import execute_subprocess_async


def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase=None )			->     Tuple:
    if subparsers is not None:
        lowerCamelCase__    :      Any					 =		subparsers.add_parser('test' )
    else:
        lowerCamelCase__    :      int					 =		argparse.ArgumentParser('Accelerate test command' )

    parser.add_argument(
        '--config_file'						,	default=_UpperCAmelCase						,	help=(
            'The path to use to store the config file. Will default to a file named default_config.yaml in the cache '
            'location, which is the content of the environment `HF_HOME` suffixed with \'accelerate\', or if you don\'t have '
            'such an environment variable, your cache directory (\'~/.cache\' or the content of `XDG_CACHE_HOME`) suffixed '
            'with \'huggingface\'.'
        )						,	)

    if subparsers is not None:
        parser.set_defaults(func=_UpperCAmelCase )
    return parser


def        SCREAMING_SNAKE_CASE      (       _UpperCAmelCase )			->     Union[str, Any]:
    lowerCamelCase__    :      Tuple					 =		os.path.sep.join(__file__.split(os.path.sep )[:-2] + ['test_utils', 'scripts', 'test_script.py'] )

    if args.config_file is None:
        lowerCamelCase__    :      List[str]					 =		script_name
    else:
        lowerCamelCase__    :      List[Any]					 =		F"""--config_file={args.config_file} {script_name}"""

    lowerCamelCase__    :      str					 =		['accelerate-launch'] + test_args.split()
    lowerCamelCase__    :      Dict					 =		execute_subprocess_async(_UpperCAmelCase						,	env=os.environ.copy() )
    if result.returncode == 0:
        print('Test is a success! You are ready for your distributed training!' )


def        SCREAMING_SNAKE_CASE      (       )			->     Any:
    lowerCamelCase__    :      Any					 =		test_command_parser()
    lowerCamelCase__    :      List[Any]					 =		parser.parse_args()
    test_command(_UpperCAmelCase )


if __name__ == "__main__":
    main()





