



"""simple docstring"""
from typing import Mapping

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxSeqaSeqConfigWithPast
from ...utils import logging


__a           =							logging.get_logger(__name__)

__a           =							{
    "google/long-t5-local-base": "https://huggingface.co/google/long-t5-local-base/blob/main/config.json",
    "google/long-t5-local-large": "https://huggingface.co/google/long-t5-local-large/blob/main/config.json",
    "google/long-t5-tglobal-base": "https://huggingface.co/google/long-t5-tglobal-base/blob/main/config.json",
    "google/long-t5-tglobal-large": "https://huggingface.co/google/long-t5-tglobal-large/blob/main/config.json",
}
class 							lowerCamelCase    (     _lowerCAmelCase							):






					'''simple docstring'''





					_A						:     Optional[Any]		=	"""longt5"""
					_A						:     Tuple		=	["""past_key_values"""]
					_A						:     Dict		=	{"""hidden_size""": """d_model""", """num_attention_heads""": """num_heads""", """num_hidden_layers""": """num_layers"""}






					def __init__(			self:				Union[str, Any]		,	snake_case:				List[Any]=32_128		,	snake_case:				Tuple=512		,	snake_case:				Union[str, Any]=64		,	snake_case:				str=2_048		,	snake_case:				Optional[int]=6		,	snake_case:				int=None		,	snake_case:				int=8		,	snake_case:				str=127		,	snake_case:				Optional[Any]=16		,	snake_case:				List[Any]=32		,	snake_case:				Union[str, Any]=128		,	snake_case:				int=0.1		,	snake_case:				Union[str, Any]=1E-6		,	snake_case:				str=1.0		,	snake_case:				str="relu"		,	snake_case:				Any=True		,	snake_case:				Optional[Any]="local"		,	snake_case:				Any=True		,	snake_case:				Dict=0		,	snake_case:				List[Any]=1		,	**snake_case:				Any		,	)  ->      Any:
											snake_case_					:int		=     vocab_size
											snake_case_					:str		=     d_model
											snake_case_					:str		=     d_kv
											snake_case_					:List[str]		=     d_ff
											snake_case_					:str		=     num_layers
											# default = symmetry
											snake_case_					:Optional[Any]		=     num_decoder_layers if num_decoder_layers is not None else self.num_layers
											snake_case_					:Tuple		=     num_heads
											snake_case_					:str		=     local_radius
											snake_case_					:List[Any]		=     global_block_size
											snake_case_					:Any		=     relative_attention_num_buckets
											snake_case_					:str		=     relative_attention_max_distance
											snake_case_					:List[Any]		=     dropout_rate
											snake_case_					:Optional[int]		=     layer_norm_epsilon
											snake_case_					:int		=     initializer_factor
											snake_case_					:Dict		=     feed_forward_proj
											snake_case_					:List[str]		=     encoder_attention_type
											snake_case_					:Any		=     use_cache

											snake_case_					:int		=     self.feed_forward_proj.split("""-"""		)
											snake_case_					:str		=     act_info[-1]
											snake_case_					:Union[str, Any]		=     act_info[0] == """gated"""

											if len(snake_case		) > 1 and act_info[0] != "gated" or len(snake_case		) > 2:
																	raise ValueError(
																	    f"""`feed_forward_proj`: {feed_forward_proj} is not a valid activation function of the dense layer."""
																	    """Please make sure `feed_forward_proj` is of the format `gated-{ACT_FN}` or `{ACT_FN}`, e.g. """
																	    """'gated-gelu' or 'relu'"""		)

											# for backwards compatibility
											if feed_forward_proj == "gated-gelu":
																	snake_case_					:Tuple		=     """gelu_new"""

											super().__init__(
											    pad_token_id=snake_case		,	eos_token_id=snake_case		,	is_encoder_decoder=snake_case		,	**snake_case		,	)

class 							lowerCamelCase    (     _lowerCAmelCase							):






					'''simple docstring'''





					@property
					def   lowerCAmelCase_							(			self:				Optional[Any]		)  ->      Mapping[str, Mapping[int, str]]:
											snake_case_					:Any		=     {
											    """input_ids""": {0: """batch""", 1: """encoder_sequence"""},
											    """attention_mask""": {0: """batch""", 1: """encoder_sequence"""},
											}
											if self.use_past:
																	snake_case_					:Optional[int]		=     """past_encoder_sequence + sequence"""
																	snake_case_					:int		=     {0: """batch"""}
																	snake_case_					:Optional[int]		=     {0: """batch""", 1: """past_decoder_sequence + sequence"""}
											else:
																	snake_case_					:List[str]		=     {0: """batch""", 1: """decoder_sequence"""}
																	snake_case_					:List[Any]		=     {0: """batch""", 1: """decoder_sequence"""}

											if self.use_past:
																	self.fill_with_past_key_values_(snake_case		,	direction="""inputs"""		)

											return common_inputs






					@property
					def   lowerCAmelCase_							(			self:				int		)  ->      int:
											return 13








from __future__ import annotations

def 			__lowerCamelCase     (						snake_case__			,snake_case__						)				->    Dict:






						"""simple docstring"""





						_SCREAMING_SNAKE_CASE       =    0
						_SCREAMING_SNAKE_CASE       =    len(snake_case__						) - 1
						while left <= right:
												_SCREAMING_SNAKE_CASE       =    (left + right) // 2
												if left == right:
																		if sorted_list[middle] < item:
																								_SCREAMING_SNAKE_CASE       =    middle + 1
																		break
												elif sorted_list[middle] < item:
																		_SCREAMING_SNAKE_CASE       =    middle + 1
												else:
																		_SCREAMING_SNAKE_CASE       =    middle - 1
						sorted_list.insert(snake_case__			,snake_case__						)
						return sorted_list

def 			__lowerCamelCase     (						snake_case__			,snake_case__						)				->    Optional[Any]:






						"""simple docstring"""





						_SCREAMING_SNAKE_CASE       =    []
						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 			__lowerCamelCase     (						snake_case__						)				->    List[str]:






						"""simple docstring"""





						_SCREAMING_SNAKE_CASE       =    len(snake_case__						)
						if length <= 1:
												return list_ad
						_SCREAMING_SNAKE_CASE       =    length // 2
						return merge(sortlist_ad(list_ad[:middle]						)			,sortlist_ad(list_ad[middle:]						)						)

def 			__lowerCamelCase     (						snake_case__						)				->    list[int]:






						"""simple docstring"""





						if len(snake_case__						) <= 1:
												return collection
						_SCREAMING_SNAKE_CASE       =    []
						_SCREAMING_SNAKE_CASE       =    False
						for i in range(0			,len(snake_case__						)			,2						):
												if i == len(snake_case__						) - 1:
																		_SCREAMING_SNAKE_CASE       =    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]]						)
						_SCREAMING_SNAKE_CASE       =    sortlist_ad(snake_case__						)
						_SCREAMING_SNAKE_CASE       =    [i[0] for i in sorted_list_ad]
						result.append(sorted_list_ad[-1][1]						)
						if has_last_odd_item:
												_SCREAMING_SNAKE_CASE       =    collection[-1]
												_SCREAMING_SNAKE_CASE       =    binary_search_insertion(snake_case__			,snake_case__						)
						_SCREAMING_SNAKE_CASE       =    False
						for i in range(len(snake_case__						) - 1						):
												if result[i] == collection[-1] and has_last_odd_item:
																		_SCREAMING_SNAKE_CASE       =    True
												_SCREAMING_SNAKE_CASE       =    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:
																		_SCREAMING_SNAKE_CASE       =    result[: i + 2] + binary_search_insertion(result[i + 2 :]			,snake_case__						)
												else:
																		_SCREAMING_SNAKE_CASE       =    result[: i + 1] + binary_search_insertion(result[i + 1 :]			,snake_case__						)

						return result


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

