





import math


def      lowerCamelCase_						(   lowerCAmelCase:						list     ,				lowerCAmelCase:						int = 0     ,				lowerCAmelCase:						int = 0					)->		list:
  _snake_case :					Tuple								=						end or len(SCREAMING_SNAKE_CASE__					)
  for i in range(SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__					):
    _snake_case :					Optional[int]								=						i
    _snake_case :					Tuple								=						array[i]
    while temp_index != start and temp_index_value < array[temp_index - 1]:
      _snake_case :					Dict								=						array[temp_index - 1]
      temp_index -= 1
    _snake_case :					Dict								=						temp_index_value
  return array


def      lowerCamelCase_						(   lowerCAmelCase:						list     ,				lowerCAmelCase:						int     ,				lowerCAmelCase:						int					)->		None:  # Max Heap
  _snake_case :					List[Any]								=						index
  _snake_case :					List[str]								=						2 * index + 1  # Left Node
  _snake_case :					str								=						2 * index + 2  # Right Node

  if left_index < heap_size and array[largest] < array[left_index]:
    _snake_case :					Any								=						left_index

  if right_index < heap_size and array[largest] < array[right_index]:
    _snake_case :					Optional[int]								=						right_index

  if largest != index:
    _snake_case :					str								=						array[largest], array[index]
    heapify(SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__					)


def      lowerCamelCase_						(   lowerCAmelCase:						list					)->		list:
  _snake_case :					Optional[Any]								=						len(SCREAMING_SNAKE_CASE__					)

  for i in range(n // 2     ,				-1     ,				-1					):
    heapify(SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__					)

  for i in range(n - 1     ,				0     ,				-1					):
    _snake_case :					Union[str, Any]								=						array[0], array[i]
    heapify(SCREAMING_SNAKE_CASE__     ,				0     ,				SCREAMING_SNAKE_CASE__					)

  return array


def      lowerCamelCase_						(   lowerCAmelCase:						list     ,				lowerCAmelCase:						int     ,				lowerCAmelCase:						int     ,				lowerCAmelCase:						int					)->		int:

  if (array[first_index] > array[middle_index]) != (
      array[first_index] > array[last_index]
  ):
    return array[first_index]
  elif (array[middle_index] > array[first_index]) != (
      array[middle_index] > array[last_index]
  ):
    return array[middle_index]
  else:
    return array[last_index]


def      lowerCamelCase_						(   lowerCAmelCase:						list     ,				lowerCAmelCase:						int     ,				lowerCAmelCase:						int     ,				lowerCAmelCase:						int					)->		int:
  _snake_case :					List[Any]								=						low
  _snake_case :					Tuple								=						high
  while True:
    while array[i] < pivot:
      i += 1
    j -= 1
    while pivot < array[j]:
      j -= 1
    if i >= j:
      return i
    _snake_case :					Optional[Any]								=						array[j], array[i]
    i += 1


def      lowerCamelCase_						(   lowerCAmelCase:						list					)->		list:

  if len(SCREAMING_SNAKE_CASE__					) == 0:
    return array
  _snake_case :					List[Any]								=						2 * math.ceil(math.loga(len(SCREAMING_SNAKE_CASE__					)					)					)
  _snake_case :					Optional[Any]								=						16
  return intro_sort(SCREAMING_SNAKE_CASE__     ,				0     ,				len(SCREAMING_SNAKE_CASE__					)     ,				SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__					)


def      lowerCamelCase_						(   lowerCAmelCase:						list     ,				lowerCAmelCase:						int     ,				lowerCAmelCase:						int     ,				lowerCAmelCase:						int     ,				lowerCAmelCase:						int					)->		list:

  while end - start > size_threshold:
    if max_depth == 0:
      return heap_sort(SCREAMING_SNAKE_CASE__					)
    max_depth -= 1
    _snake_case :					str								=						median_of_a(SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__     ,				start + ((end - start) // 2) + 1     ,				end - 1					)
    _snake_case :					Any								=						partition(SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__					)
    intro_sort(SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__					)
    _snake_case :					Union[str, Any]								=						p
  return insertion_sort(SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__     ,				SCREAMING_SNAKE_CASE__					)


if __name__ == "__main__":
      import doctest

      doctest.testmod()

      lowerCAmelCase_     =     input("""Enter numbers separated by a comma : """).strip()
      lowerCAmelCase_     =     [float(item) for item in user_input.split(""",""")]
      print(sort(unsorted))









"""simple docstring"""




import os
import tempfile
import unittest
from pathlib import Path

from transformers import AutoConfig, is_torch_available
from transformers.testing_utils import require_torch, torch_device


if is_torch_available():
 from transformers import PyTorchBenchmark, PyTorchBenchmarkArguments






@require_torch
class       UpperCAmelCase_    (							unittest.TestCase		):



      def 		snake_case_   (	self	:      Union[str, Any]	,      A	:      Optional[Any]		):
           for model_result in results.values():
                for batch_size, sequence_length in zip(model_result["bs"]	,      model_result["ss"]		):
                     _UpperCAmelCase     :      List[str]														=       model_result["result"][batch_size][sequence_length]
                     self.assertIsNotNone(A		)



      def 		snake_case_   (	self	:      Optional[Any]		):
           _UpperCAmelCase     :      Any														=       "sshleifer/tiny-gpt2"
           _UpperCAmelCase     :      int														=       PyTorchBenchmarkArguments(
               models=[MODEL_ID]	,      training=A	,      inference=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      multi_process=A	,      )
           _UpperCAmelCase     :      List[Any]														=       PyTorchBenchmark(A		)
           _UpperCAmelCase     :      List[Any]														=       benchmark.run()
           self.check_results_dict_not_empty(results.time_inference_result		)
           self.check_results_dict_not_empty(results.memory_inference_result		)



      def 		snake_case_   (	self	:      Dict		):
           _UpperCAmelCase     :      List[str]														=       "sgugger/tiny-distilbert-classification"
           _UpperCAmelCase     :      Optional[int]														=       PyTorchBenchmarkArguments(
               models=[MODEL_ID]	,      training=A	,      inference=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      multi_process=A	,      only_pretrain_model=A	,      )
           _UpperCAmelCase     :      Dict														=       PyTorchBenchmark(A		)
           _UpperCAmelCase     :      Optional[Any]														=       benchmark.run()
           self.check_results_dict_not_empty(results.time_inference_result		)
           self.check_results_dict_not_empty(results.memory_inference_result		)



      def 		snake_case_   (	self	:      int		):
           _UpperCAmelCase     :      Any														=       "sshleifer/tiny-gpt2"
           _UpperCAmelCase     :      List[Any]														=       PyTorchBenchmarkArguments(
               models=[MODEL_ID]	,      training=A	,      inference=A	,      torchscript=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      multi_process=A	,      )
           _UpperCAmelCase     :      Dict														=       PyTorchBenchmark(A		)
           _UpperCAmelCase     :      Optional[Any]														=       benchmark.run()
           self.check_results_dict_not_empty(results.time_inference_result		)
           self.check_results_dict_not_empty(results.memory_inference_result		)



      @unittest.skipIf(torch_device == "cpu"	,      "Cant do half precision"		)
      def 		snake_case_   (	self	:      List[str]		):
           _UpperCAmelCase     :      Union[str, Any]														=       "sshleifer/tiny-gpt2"
           _UpperCAmelCase     :      Optional[Any]														=       PyTorchBenchmarkArguments(
               models=[MODEL_ID]	,      training=A	,      inference=A	,      fpaa=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      multi_process=A	,      )
           _UpperCAmelCase     :      List[str]														=       PyTorchBenchmark(A		)
           _UpperCAmelCase     :      List[Any]														=       benchmark.run()
           self.check_results_dict_not_empty(results.time_inference_result		)
           self.check_results_dict_not_empty(results.memory_inference_result		)



      def 		snake_case_   (	self	:      List[Any]		):
           _UpperCAmelCase     :      Optional[Any]														=       "sshleifer/tiny-gpt2"
           _UpperCAmelCase     :      int														=       AutoConfig.from_pretrained(A		)
           # set architectures equal to `None`
           _UpperCAmelCase     :      Optional[Any]														=       None
           _UpperCAmelCase     :      Optional[Any]														=       PyTorchBenchmarkArguments(
               models=[MODEL_ID]	,      training=A	,      inference=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      multi_process=A	,      )
           _UpperCAmelCase     :      List[Any]														=       PyTorchBenchmark(A	,      configs=[config]		)
           _UpperCAmelCase     :      Optional[Any]														=       benchmark.run()
           self.check_results_dict_not_empty(results.time_inference_result		)
           self.check_results_dict_not_empty(results.memory_inference_result		)



      def 		snake_case_   (	self	:      int		):
           _UpperCAmelCase     :      Dict														=       "sshleifer/tiny-gpt2"
           _UpperCAmelCase     :      Union[str, Any]														=       PyTorchBenchmarkArguments(
               models=[MODEL_ID]	,      training=A	,      inference=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      multi_process=A	,      )
           _UpperCAmelCase     :      Tuple														=       PyTorchBenchmark(A		)
           _UpperCAmelCase     :      Union[str, Any]														=       benchmark.run()
           self.check_results_dict_not_empty(results.time_train_result		)
           self.check_results_dict_not_empty(results.memory_train_result		)



      @unittest.skipIf(torch_device == "cpu"	,      "Can't do half precision"		)
      def 		snake_case_   (	self	:      List[Any]		):
           _UpperCAmelCase     :      Optional[int]														=       "sshleifer/tiny-gpt2"
           _UpperCAmelCase     :      str														=       PyTorchBenchmarkArguments(
               models=[MODEL_ID]	,      training=A	,      inference=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      fpaa=A	,      multi_process=A	,      )
           _UpperCAmelCase     :      Tuple														=       PyTorchBenchmark(A		)
           _UpperCAmelCase     :      List[Any]														=       benchmark.run()
           self.check_results_dict_not_empty(results.time_train_result		)
           self.check_results_dict_not_empty(results.memory_train_result		)



      def 		snake_case_   (	self	:      List[Any]		):
           _UpperCAmelCase     :      Optional[Any]														=       "sshleifer/tiny-gpt2"
           _UpperCAmelCase     :      Union[str, Any]														=       AutoConfig.from_pretrained(A		)
           _UpperCAmelCase     :      Dict														=       PyTorchBenchmarkArguments(
               models=[MODEL_ID]	,      training=A	,      inference=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      multi_process=A	,      )
           _UpperCAmelCase     :      List[Any]														=       PyTorchBenchmark(A	,      configs=[config]		)
           _UpperCAmelCase     :      List[str]														=       benchmark.run()
           self.check_results_dict_not_empty(results.time_inference_result		)
           self.check_results_dict_not_empty(results.memory_inference_result		)



      def 		snake_case_   (	self	:      str		):
           _UpperCAmelCase     :      List[str]														=       "sshleifer/tinier_bart"
           _UpperCAmelCase     :      Any														=       AutoConfig.from_pretrained(A		)
           _UpperCAmelCase     :      Optional[int]														=       PyTorchBenchmarkArguments(
               models=[MODEL_ID]	,      training=A	,      inference=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      multi_process=A	,      )
           _UpperCAmelCase     :      int														=       PyTorchBenchmark(A	,      configs=[config]		)
           _UpperCAmelCase     :      Union[str, Any]														=       benchmark.run()
           self.check_results_dict_not_empty(results.time_inference_result		)
           self.check_results_dict_not_empty(results.memory_inference_result		)



      def 		snake_case_   (	self	:      Any		):
           _UpperCAmelCase     :      Tuple														=       "sshleifer/tiny-gpt2"
           _UpperCAmelCase     :      Tuple														=       AutoConfig.from_pretrained(A		)
           _UpperCAmelCase     :      List[Any]														=       PyTorchBenchmarkArguments(
               models=[MODEL_ID]	,      training=A	,      inference=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      multi_process=A	,      )
           _UpperCAmelCase     :      int														=       PyTorchBenchmark(A	,      configs=[config]		)
           _UpperCAmelCase     :      Optional[int]														=       benchmark.run()
           self.check_results_dict_not_empty(results.time_train_result		)
           self.check_results_dict_not_empty(results.memory_train_result		)



      def 		snake_case_   (	self	:      str		):
           _UpperCAmelCase     :      Optional[int]														=       "sshleifer/tinier_bart"
           _UpperCAmelCase     :      int														=       AutoConfig.from_pretrained(A		)
           _UpperCAmelCase     :      List[Any]														=       PyTorchBenchmarkArguments(
               models=[MODEL_ID]	,      training=A	,      inference=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      multi_process=A	,      )
           _UpperCAmelCase     :      str														=       PyTorchBenchmark(A	,      configs=[config]		)
           _UpperCAmelCase     :      int														=       benchmark.run()
           self.check_results_dict_not_empty(results.time_train_result		)
           self.check_results_dict_not_empty(results.memory_train_result		)



      def 		snake_case_   (	self	:      Dict		):
           _UpperCAmelCase     :      int														=       "sshleifer/tiny-gpt2"
           with tempfile.TemporaryDirectory() as tmp_dir:
                _UpperCAmelCase     :      Union[str, Any]														=       PyTorchBenchmarkArguments(
                    models=[MODEL_ID]	,      training=A	,      inference=A	,      save_to_csv=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      inference_time_csv_file=os.path.join(A	,      "inf_time.csv"		)	,      train_memory_csv_file=os.path.join(A	,      "train_mem.csv"		)	,      inference_memory_csv_file=os.path.join(A	,      "inf_mem.csv"		)	,      train_time_csv_file=os.path.join(A	,      "train_time.csv"		)	,      env_info_csv_file=os.path.join(A	,      "env.csv"		)	,      multi_process=A	,      )
                _UpperCAmelCase     :      int														=       PyTorchBenchmark(A		)
                benchmark.run()
                self.assertTrue(Path(os.path.join(A	,      "inf_time.csv"		)		).exists()		)
                self.assertTrue(Path(os.path.join(A	,      "train_time.csv"		)		).exists()		)
                self.assertTrue(Path(os.path.join(A	,      "inf_mem.csv"		)		).exists()		)
                self.assertTrue(Path(os.path.join(A	,      "train_mem.csv"		)		).exists()		)
                self.assertTrue(Path(os.path.join(A	,      "env.csv"		)		).exists()		)



      def 		snake_case_   (	self	:      List[str]		):
           _UpperCAmelCase     :      List[Any]														=       "sshleifer/tiny-gpt2"

           def _check_summary_is_not_empty(A	:      int		):
                self.assertTrue(hasattr(A	,      "sequential"		)		)
                self.assertTrue(hasattr(A	,      "cumulative"		)		)
                self.assertTrue(hasattr(A	,      "current"		)		)
                self.assertTrue(hasattr(A	,      "total"		)		)

           with tempfile.TemporaryDirectory() as tmp_dir:
                _UpperCAmelCase     :      int														=       PyTorchBenchmarkArguments(
                    models=[MODEL_ID]	,      training=A	,      inference=A	,      sequence_lengths=[8]	,      batch_sizes=[1]	,      log_filename=os.path.join(A	,      "log.txt"		)	,      log_print=A	,      trace_memory_line_by_line=A	,      multi_process=A	,      )
                _UpperCAmelCase     :      int														=       PyTorchBenchmark(A		)
                _UpperCAmelCase     :      Any														=       benchmark.run()
                _check_summary_is_not_empty(result.inference_summary		)
                _check_summary_is_not_empty(result.train_summary		)
                self.assertTrue(Path(os.path.join(A	,      "log.txt"		)		).exists()		)
