






"""simple docstring"""





from typing import Mapping

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


A__					: List[str]=	logging.get_logger(__name__)

A__					: List[str]=	{
    """t5-small""": """https://huggingface.co/t5-small/resolve/main/config.json""",
    """t5-base""": """https://huggingface.co/t5-base/resolve/main/config.json""",
    """t5-large""": """https://huggingface.co/t5-large/resolve/main/config.json""",
    """t5-3b""": """https://huggingface.co/t5-3b/resolve/main/config.json""",
    """t5-11b""": """https://huggingface.co/t5-11b/resolve/main/config.json""",
}
class    __lowerCamelCase    (  _a  ):
   a      :				Union[str, Any] 						="""t5"""
   a      :				str 						=["""past_key_values"""]
   a      :				Dict 						={"""hidden_size""": """d_model""", """num_attention_heads""": """num_heads""", """num_hidden_layers""": """num_layers"""}

   def __init__(					self ,				snake_case_=3_2128 ,				snake_case_=512 ,				snake_case_=64 ,				snake_case_=2048 ,				snake_case_=6 ,				snake_case_=None ,				snake_case_=8 ,				snake_case_=32 ,				snake_case_=128 ,				snake_case_=0.1 ,				snake_case_=1E-6 ,				snake_case_=1.0 ,				snake_case_="relu" ,				snake_case_=True ,				snake_case_=True ,				snake_case_=0 ,				snake_case_=1 ,				**snake_case_ ,				)		->       List[str]:
        UpperCamelCase__         =    vocab_size
        UpperCamelCase__         =    d_model
        UpperCamelCase__         =    d_kv
        UpperCamelCase__         =    d_ff
        UpperCamelCase__         =    num_layers
        UpperCamelCase__         =    (
            num_decoder_layers if num_decoder_layers is not None else self.num_layers
        )  # default = symmetry
        UpperCamelCase__         =    num_heads
        UpperCamelCase__         =    relative_attention_num_buckets
        UpperCamelCase__         =    relative_attention_max_distance
        UpperCamelCase__         =    dropout_rate
        UpperCamelCase__         =    layer_norm_epsilon
        UpperCamelCase__         =    initializer_factor
        UpperCamelCase__         =    feed_forward_proj
        UpperCamelCase__         =    use_cache

        UpperCamelCase__         =    self.feed_forward_proj.split('-'      )
        UpperCamelCase__         =    act_info[-1]
        UpperCamelCase__         =    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":
             UpperCamelCase__         =    'gelu_new'

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







class    __lowerCamelCase    (  _a  ):

   @property
   def 						SCREAMING_SNAKE_CASE__ (					self      )		->       Mapping[str, Mapping[int, str]]:
        UpperCamelCase__         =    {
            'input_ids': {0: 'batch', 1: 'encoder_sequence'},
            'attention_mask': {0: 'batch', 1: 'encoder_sequence'},
        }
        if self.use_past:
             UpperCamelCase__         =    'past_encoder_sequence + sequence'
             UpperCamelCase__         =    {0: 'batch'}
             UpperCamelCase__         =    {0: 'batch', 1: 'past_decoder_sequence + sequence'}
        else:
             UpperCamelCase__         =    {0: 'batch', 1: 'decoder_sequence'}
             UpperCamelCase__         =    {0: 'batch', 1: 'decoder_sequence'}

        if self.use_past:
             self.fill_with_past_key_values_(snake_case_ ,				direction='inputs'      )

        return common_inputs







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












"""simple docstring"""





from collections import defaultdict
from math import ceil, sqrt







def   lowerCAmelCase_( SCREAMING_SNAKE_CASE = 1_00_00_00 ,	SCREAMING_SNAKE_CASE = 10					)					->	int:
    """simple docstring"""

    UpperCamelCase__         =    defaultdict(SCREAMING_SNAKE_CASE					)

    for outer_width in range(3 ,	(t_limit // 4) + 2					):
        if outer_width * outer_width > t_limit:
            UpperCamelCase__         =    max(
                ceil(sqrt(outer_width * outer_width - t_limit					)					) ,	1					)
        else:
            UpperCamelCase__         =    1

        hole_width_lower_bound += (outer_width - hole_width_lower_bound) % 2

        for hole_width in range(SCREAMING_SNAKE_CASE ,	outer_width - 1 ,	2					):
            count[outer_width * outer_width - hole_width * hole_width] += 1

    return sum(1 for n in count.values() if 1 <= n <= 10					)


if __name__ == "__main__":
  print(F"""{solution() = }""")




