





"""simple docstring"""


from __future__ import annotations




def     lowercase__			(    lowercase_						,lowercase_	)    ->						List[str]:




      """simple docstring"""

      _UpperCamelCase					:		Tuple  =				0
      _UpperCamelCase					:		Optional[int]  =				len(_UpperCAmelCase	) - 1
      while left <= right:
            _UpperCamelCase					:		Any  =				(left + right) // 2
            if left == right:
                  if sorted_list[middle] < item:
                        _UpperCamelCase					:		str  =				middle + 1
                  break
            elif sorted_list[middle] < item:
                  _UpperCamelCase					:		List[Any]  =				middle + 1
            else:
                  _UpperCamelCase					:		Union[str, Any]  =				middle - 1
      sorted_list.insert(_UpperCAmelCase						,_UpperCAmelCase	)
      return sorted_list




def     lowercase__			(    lowercase_						,lowercase_	)    ->						Dict:




      """simple docstring"""

      _UpperCamelCase					:		Any  =				[]
      while left and right:
            if left[0][0] < right[0][0]:
                  result.append(left.pop(0	)	)
            else:
                  result.append(right.pop(0	)	)
      return result + left + right




def     lowercase__			(    lowercase_	)    ->						Optional[int]:




      """simple docstring"""

      _UpperCamelCase					:		int  =				len(_UpperCAmelCase	)
      if length <= 1:
            return list_ad
      _UpperCamelCase					:		Optional[int]  =				length // 2
      return merge(sortlist_ad(list_ad[:middle]	)						,sortlist_ad(list_ad[middle:]	)	)




def     lowercase__			(    lowercase_	)    ->						list[int]:




      """simple docstring"""

      if len(_UpperCAmelCase	) <= 1:
            return collection
      _UpperCamelCase					:		Union[str, Any]  =				[]
      _UpperCamelCase					:		List[str]  =				False
      for i in range(0						,len(_UpperCAmelCase	)						,2	):
            if i == len(_UpperCAmelCase	) - 1:
                  _UpperCamelCase					:		Optional[Any]  =				True
            else:
                  if collection[i] < collection[i + 1]:
                        two_paired_list.append([collection[i], collection[i + 1]]	)
                  else:
                        two_paired_list.append([collection[i + 1], collection[i]]	)
      _UpperCamelCase					:		Dict  =				sortlist_ad(_UpperCAmelCase	)
      _UpperCamelCase					:		List[str]  =				[i[0] for i in sorted_list_ad]
      result.append(sorted_list_ad[-1][1]	)
      if has_last_odd_item:
            _UpperCamelCase					:		Any  =				collection[-1]
            _UpperCamelCase					:		List[Any]  =				binary_search_insertion(_UpperCAmelCase						,_UpperCAmelCase	)
      _UpperCamelCase					:		List[Any]  =				False
      for i in range(len(_UpperCAmelCase	) - 1	):
            if result[i] == collection[-1] and has_last_odd_item:
                  _UpperCamelCase					:		Union[str, Any]  =				True
            _UpperCamelCase					:		List[Any]  =				sorted_list_ad[i][1]
            # If last_odd_item is inserted before the item's index,
            # you should forward index one more.
            if is_last_odd_item_inserted_before_this_index:
                  _UpperCamelCase					:		Union[str, Any]  =				result[: i + 2] + binary_search_insertion(result[i + 2 :]						,_UpperCAmelCase	)
            else:
                  _UpperCamelCase					:		Any  =				result[: i + 1] + binary_search_insertion(result[i + 1 :]						,_UpperCAmelCase	)

      return result


if __name__ == "__main__":
  lowerCamelCase__      =      input("Enter numbers separated by a comma:\n").strip()
  lowerCamelCase__      =      [int(item) for item in user_input.split(",")]
  print(merge_insertion_sort(unsorted))







from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_flax_available,
    is_sentencepiece_available,
    is_tf_available,
    is_tokenizers_available,
    is_torch_available,
)


UpperCAmelCase__  :	Optional[Any]     ={'''configuration_pegasus''': ['''PEGASUS_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''PegasusConfig''']}

try:
							if not is_sentencepiece_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							UpperCAmelCase__  :	Union[str, Any]     =['''PegasusTokenizer''']

try:
							if not is_tokenizers_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							UpperCAmelCase__  :	int     =['''PegasusTokenizerFast''']

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							UpperCAmelCase__  :	str     =[
							    '''PEGASUS_PRETRAINED_MODEL_ARCHIVE_LIST''',
							    '''PegasusForCausalLM''',
							    '''PegasusForConditionalGeneration''',
							    '''PegasusModel''',
							    '''PegasusPreTrainedModel''',
							]

try:
							if not is_tf_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							UpperCAmelCase__  :	Union[str, Any]     =[
							    '''TFPegasusForConditionalGeneration''',
							    '''TFPegasusModel''',
							    '''TFPegasusPreTrainedModel''',
							]

try:
							if not is_flax_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							UpperCAmelCase__  :	Dict     =[
							    '''FlaxPegasusForConditionalGeneration''',
							    '''FlaxPegasusModel''',
							    '''FlaxPegasusPreTrainedModel''',
							]


if TYPE_CHECKING:
							from .configuration_pegasus import PEGASUS_PRETRAINED_CONFIG_ARCHIVE_MAP, PegasusConfig

							try:
														if not is_sentencepiece_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .tokenization_pegasus import PegasusTokenizer

							try:
														if not is_tokenizers_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .tokenization_pegasus_fast import PegasusTokenizerFast

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_pegasus import (
														    PEGASUS_PRETRAINED_MODEL_ARCHIVE_LIST,
														    PegasusForCausalLM,
														    PegasusForConditionalGeneration,
														    PegasusModel,
														    PegasusPreTrainedModel,
														)

							try:
														if not is_tf_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_tf_pegasus import TFPegasusForConditionalGeneration, TFPegasusModel, TFPegasusPreTrainedModel

							try:
														if not is_flax_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_flax_pegasus import (
														    FlaxPegasusForConditionalGeneration,
														    FlaxPegasusModel,
														    FlaxPegasusPreTrainedModel,
														)

else:
							import sys

							UpperCAmelCase__  :	Union[str, Any]     =_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)





