


'''simple docstring'''







from __future__ import annotations


def      SCREAMING_SNAKE_CASE_ (  _UpperCAmelCase     :     list   ,_UpperCAmelCase     :     list  )  ->      list:
       _a   :			Union[str, Any]					 =[None] * (len(_UpperCAmelCase  ) + len(_UpperCAmelCase  ))

       _a   :			Tuple					 =0  # pointer to current index for left Half
       _a   :			Any					 =0  # pointer to current index for the right Half
       _a   :			int					 =0  # pointer to current index for the sorted array Half

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

       while pointera < len(_UpperCAmelCase  ):
              _a   :			Dict					 =right_half[pointera]
              pointera += 1
              index += 1

       return sorted_array


def      SCREAMING_SNAKE_CASE_ (  _UpperCAmelCase     :     list  )  ->      list:
       if len(_UpperCAmelCase  ) <= 1:
              return array
       # the actual formula to calculate the middle element = left + (right - left) // 2
       # this avoids integer overflow in case of large N
       _a   :			Any					 =0 + (len(_UpperCAmelCase  ) - 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
       _a   :			Optional[int]					 =array[:middle]
       _a   :			Tuple					 =array[middle:]

       return merge(merge_sort(_UpperCAmelCase  )   ,merge_sort(_UpperCAmelCase  )  )


if __name__ == "__main__":
   import doctest

   doctest.testmod()










'''simple docstring'''







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 A__	(						unittest.TestCase				):






      def __UpperCAmelCase	(			self      :List[Any]     )	-> List[str]:




             '''simple docstring'''
             _a   :			Union[str, Any]					 =inspect.getfile(accelerate.test_utils     )
             _a   :			Any					 =os.path.sep.join(mod_file.split(os.path.sep     )[:-1] + ["""scripts""", """test_sync.py"""]     )






      @require_cpu
      def __UpperCAmelCase	(			self      :List[str]     )	-> Optional[Any]:




             '''simple docstring'''
             debug_launcher(test_sync.main					,						num_processes=1     )






      @require_cpu
      def __UpperCAmelCase	(			self      :int     )	-> Union[str, Any]:




             '''simple docstring'''
             debug_launcher(test_sync.main     )






      @require_single_gpu
      def __UpperCAmelCase	(			self      :Any     )	-> Optional[int]:




             '''simple docstring'''
             test_sync.main()






      @require_multi_gpu
      def __UpperCAmelCase	(			self      :Optional[Any]     )	-> int:




             '''simple docstring'''
             print(f"Found {torch.cuda.device_count()} devices."     )
             _a   :			int					 =["""torchrun""", f"--nproc_per_node={torch.cuda.device_count()}", self.test_file_path]
             with patch_environment(omp_num_threads=1     ):
                    execute_subprocess_async(SCREAMING_SNAKE_CASE					,						env=os.environ.copy()     )


