




import inspect
import os
import unittest

import torch

import accelerate
from accelerate import debug_launcher
from accelerate.test_utils import (
    execute_subprocess_async,
    require_cpu,
    require_multi_gpu,
    require_single_gpu,
    test_sync,
)
from accelerate.utils import patch_environment




class  __lowerCAmelCase							(				unittest.TestCase):






       def        SCREAMING_SNAKE_CASE     ( self:       Optional[Any]					):
         lowercase     :Union[str, Any]   						=    inspect.getfile(accelerate.test_utils					)
         lowercase     :Dict   						=    os.path.sep.join(mod_file.split(os.path.sep					)[:-1] + ["scripts", "test_sync.py"]					)






       @require_cpu
       def        SCREAMING_SNAKE_CASE     ( self:       Dict					):
         debug_launcher(test_sync.main							,       num_processes=1					)






       @require_cpu
       def        SCREAMING_SNAKE_CASE     ( self:       Optional[int]					):
         debug_launcher(test_sync.main					)






       @require_single_gpu
       def        SCREAMING_SNAKE_CASE     ( self:       Tuple					):
         test_sync.main()






       @require_multi_gpu
       def        SCREAMING_SNAKE_CASE     ( self:       Tuple					):
         print(F"Found {torch.cuda.device_count()} devices."					)
         lowercase     :List[Any]   						=    ["""torchrun""", F"--nproc_per_node={torch.cuda.device_count()}", self.test_file_path]
         with patch_environment(omp_num_threads=1					):
           execute_subprocess_async(_UpperCamelCase							,       env=os.environ.copy()					)




from __future__ import annotations







def     A__	(       __A ,			__A						):







    '''simple docstring'''
    _lowerCamelCase  :		List[str]			    =    [None] * (len(__A						) + len(__A						))

    _lowerCamelCase  :		Optional[int]			    =    0  # pointer to current index for left Half
    _lowerCamelCase  :		List[str]			    =    0  # pointer to current index for the right Half
    _lowerCamelCase  :		List[str]			    =    0  # pointer to current index for the sorted array Half

    while pointera < len(__A						) and pointera < len(__A						):
        if left_half[pointera] < right_half[pointera]:
            _lowerCamelCase  :		Optional[Any]			    =    left_half[pointera]
            pointera += 1
            index += 1
        else:
            _lowerCamelCase  :		List[Any]			    =    right_half[pointera]
            pointera += 1
            index += 1
    while pointera < len(__A						):
        _lowerCamelCase  :		int			    =    left_half[pointera]
        pointera += 1
        index += 1

    while pointera < len(__A						):
        _lowerCamelCase  :		Optional[Any]			    =    right_half[pointera]
        pointera += 1
        index += 1

    return sorted_array







def     A__	(       __A						):







    '''simple docstring'''
    if len(__A						) <= 1:
        return array
    # the actual formula to calculate the middle element = left + (right - left) // 2
    # this avoids integer overflow in case of large N
    _lowerCamelCase  :		int			    =    0 + (len(__A						) - 0) // 2

    # Split the array into halves till the array length becomes equal to One
    # merge the arrays of single length returned by mergeSort function and
    # pass them into the merge arrays function which merges the array
    _lowerCamelCase  :		List[str]			    =    array[:middle]
    _lowerCamelCase  :		Optional[int]			    =    array[middle:]

    return merge(merge_sort(__A						) ,			merge_sort(__A						)						)


if __name__ == "__main__":
    import doctest

    doctest.testmod()




