


import jax.numpy as jnp

from ...utils import logging
from ..ta.modeling_flax_ta import FlaxTaEncoderModel, FlaxTaForConditionalGeneration, FlaxTaModel
from .configuration_mta import MTaConfig


_A		:				str									=       logging.get_logger(__name__)

_A		:				Optional[Any]									=       '''T5Config'''



def     __lowerCAmelCase						(							snake_case	:    jnp.array						,      snake_case	:    int						,      snake_case	:    int )       ->							jnp.ndarray:
   __lowerCamelCase:				int     =	jnp.zeros_like(snake_case )
   __lowerCamelCase:				str     =	shifted_input_ids.at[:, 1:].set(input_ids[:, :-1] )
   __lowerCamelCase:				Optional[int]     =	shifted_input_ids.at[:, 0].set(snake_case )

   __lowerCamelCase:				Dict     =	jnp.where(shifted_input_ids == -100						,      snake_case						,      snake_case )
   return shifted_input_ids



class        a					(			_UpperCAmelCase   ):
     UpperCAmelCase__ :  str						      =	"mt5"
     UpperCAmelCase__ :  Dict						      =	MTaConfig



class        a					(			_UpperCAmelCase   ):
     UpperCAmelCase__ :  Dict						      =	"mt5"
     UpperCAmelCase__ :  Union[str, Any]						      =	MTaConfig



class        a					(			_UpperCAmelCase   ):
     UpperCAmelCase__ :  List[Any]						      =	"mt5"
     UpperCAmelCase__ :  int						      =	MTaConfig






import math



def     __lowerCAmelCase						(							snake_case	:    int )       ->							bool:
   __lowerCamelCase:				Dict     =	math.loga(math.sqrt(4 * positive_integer + 1 ) / 2 + 1 / 2 )

   return exponent == int(snake_case )



def     __lowerCAmelCase						(							snake_case	:    float = 1 / 12345 )       ->							int:
   __lowerCamelCase:				str     =	0
   __lowerCamelCase:				Optional[Any]     =	0

   __lowerCamelCase:				str     =	3
   while True:
      __lowerCamelCase:				int     =	(integer**2 - 1) / 4
      # if candidate is an integer, then there is a partition for k
      if partition_candidate == int(snake_case ):
         __lowerCamelCase:				Union[str, Any]     =	int(snake_case )
         total_partitions += 1
         if check_partition_perfect(snake_case ):
            perfect_partitions += 1
      if perfect_partitions > 0:
         if perfect_partitions / total_partitions < max_proportion:
            return int(snake_case )
      integer += 1


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


