





"""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    _UpperCAmelCase  (      unittest.TestCase					):


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


					@require_cpu
					def       lowerCamelCase			(   self     :Union[str, Any]						):
												debug_launcher(test_sync.main	,			num_processes=1						)


					@require_cpu
					def       lowerCamelCase			(   self     :Any						):
												debug_launcher(test_sync.main						)


					@require_single_gpu
					def       lowerCamelCase			(   self     :Optional[Any]						):
												test_sync.main()


					@require_multi_gpu
					def       lowerCamelCase			(   self     :List[str]						):
												print(f"Found {torch.cuda.device_count()} devices."						)
												A						=    ["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()						)









"""simple docstring"""
from functools import lru_cache






@lru_cache
def    A__							(     UpperCamelCase			):
							if not isinstance(UpperCamelCase   ,    UpperCamelCase			):
														raise TypeError("k must be an integer."			)
							if k < 0:
														raise ValueError("k integer must be greater or equal to zero."			)
							if k == 0:
														return 0
							elif k == 1:
														return 1
							else:
														return fibonacci(k - 1			) + fibonacci(k - 2			)






def    A__							(     UpperCamelCase   ,    UpperCamelCase			):
							A						=    len(UpperCamelCase			)
							# Find m such that F_m >= n where F_i is the i_th fibonacci number.
							A						=    0
							while True:
														if fibonacci(UpperCamelCase			) >= len_list:
																					A						=    i
																					break
														i += 1
							A						=    0
							while fibb_k > 0:
														A						=    min(
														    offset + fibonacci(fibb_k - 1			)   ,    len_list - 1			)  # Prevent out of range
														A						=    arr[index_k]
														if item_k_1 == val:
																					return index_k
														elif val < item_k_1:
																					fibb_k -= 1
														elif val > item_k_1:
																					offset += fibonacci(fibb_k - 1			)
																					fibb_k -= 2
							else:
														return -1


if __name__ == "__main__":
		import doctest

		doctest.testmod()


