



from __future__ import annotations

from bisect import bisect_left
from functools import total_ordering
from heapq import merge



@total_ordering
class  lowerCamelCase__    (							a__):




  '''simple docstring'''



  def __lt__(self	,__lowerCamelCase				)  ->    List[Any]:

      """simple docstring"""






      return self[-1] < other[-1]



  def __eq__(self	,__lowerCamelCase				)  ->    Any:

      """simple docstring"""






      return self[-1] == other[-1]






def 			lowerCAmelCase__	(					lowerCamelCase_	:	Optional[int]):





    '''simple docstring'''

    lowerCAmelCase__  :       list[Stack]				=  []
    # sort into stacks
    for element in collection:
        lowerCAmelCase__  :       List[Any]				=  Stack([element])
        lowerCAmelCase__  :       Union[str, Any]				=  bisect_left(lowerCAmelCase_ ,lowerCAmelCase_)
        if i != len(lowerCAmelCase_):
            stacks[i].append(lowerCAmelCase_)
        else:
            stacks.append(lowerCAmelCase_)

    # use a heap-based merge to merge stack efficiently
    lowerCAmelCase__  :       int				=  merge(*(reversed(lowerCAmelCase_) for stack in stacks))
    return collection


if __name__ == "__main__":
       __snake_case       :	Union[str, Any]            =input('Enter numbers separated by a comma:\n').strip()
       __snake_case       :	List[Any]            =[int(item) for item in user_input.split(',')]
       print(patience_sort(unsorted))






import copy

from ...configuration_utils import PretrainedConfig
from ...utils import logging


__snake_case       :	Any            =logging.get_logger(__name__)



class  lowerCamelCase__    (							lowerCamelCase__):




		'''simple docstring'''



		snake_case_			="""encoder-decoder"""
		snake_case_			=True



		def __init__(self	,**__lowerCamelCase				)  ->    Union[str, Any]:

						"""simple docstring"""






						super().__init__(**__lowerCamelCase				)
						assert (
						    "encoder" in kwargs and "decoder" in kwargs
						), "Config has to be initialized with encoder and decoder config"
						lowerCAmelCase__  :       Optional[Any]				=  kwargs.pop('''encoder'''				)
						lowerCAmelCase__  :       Any				=  encoder_config.pop('''model_type'''				)
						lowerCAmelCase__  :       str				=  kwargs.pop('''decoder'''				)
						lowerCAmelCase__  :       Tuple				=  decoder_config.pop('''model_type'''				)

						from ..auto.configuration_auto import AutoConfig

						lowerCAmelCase__  :       Tuple				=  AutoConfig.for_model(__lowerCamelCase	,**__lowerCamelCase				)
						lowerCAmelCase__  :       Any				=  AutoConfig.for_model(__lowerCamelCase	,**__lowerCamelCase				)
						lowerCAmelCase__  :       str				=  True



		@classmethod
		def 	lowerCAmelCase__   (cls	,__lowerCamelCase	,__lowerCamelCase	,**__lowerCamelCase				)  ->    PretrainedConfig:

						"""simple docstring"""






						logger.info('''Set `config.is_decoder=True` and `config.add_cross_attention=True` for decoder_config'''				)
						lowerCAmelCase__  :       Optional[int]				=  True
						lowerCAmelCase__  :       List[str]				=  True

						return cls(encoder=encoder_config.to_dict()	,decoder=decoder_config.to_dict()	,**__lowerCamelCase				)



		def 	lowerCAmelCase__   (self				)  ->    Tuple:

						"""simple docstring"""






						lowerCAmelCase__  :       int				=  copy.deepcopy(self.__dict__				)
						lowerCAmelCase__  :       Optional[Any]				=  self.encoder.to_dict()
						lowerCAmelCase__  :       str				=  self.decoder.to_dict()
						lowerCAmelCase__  :       Optional[int]				=  self.__class__.model_type
						return output

