code: 
  
  
  import math
  
  def   UpperCamelCase__   (    UpperCAmelCase_			)						->							list[int]:
  
  
  
  
         '''simple docstring'''
  
  
  
  
  
  
         if not isinstance(lowerCamelCase__    ,     lowerCamelCase__			):
                _lowercase					:				int           =			F'Input value of [number={number}] must be an integer'
                raise TypeError(lowerCamelCase__			)
         if number < 1:
                _lowercase					:				Dict           =			F'Input value of [number={number}] must be a positive integer'
                raise ValueError(lowerCamelCase__			)
         _lowercase					:				Tuple           =			[number]
         while number != 1:
                if number % 2 == 0:
                       _lowercase					:				Union[str, Any]           =			math.floor(math.sqrt(lowerCamelCase__			)			)
                else:
                       _lowercase					:				str           =			math.floor(
                           math.sqrt(lowerCamelCase__			) * math.sqrt(lowerCamelCase__			) * math.sqrt(lowerCamelCase__			)			)
                sequence.append(lowerCamelCase__			)
         return sequence
  
  
  if __name__ == "__main__":
     import doctest
  
     doctest.testmod()
style_context: 
  
  
  from typing import TYPE_CHECKING
  
  from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tokenizers_available, is_torch_available
  
  
  UpperCamelCase__				       =			{
      'configuration_realm': ['REALM_PRETRAINED_CONFIG_ARCHIVE_MAP', 'RealmConfig'],
      'tokenization_realm': ['RealmTokenizer'],
  }
  
  try:
     if not is_tokenizers_available():
        raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
     pass
  else:
     UpperCamelCase__				       =			['RealmTokenizerFast']
  
  try:
     if not is_torch_available():
        raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
     pass
  else:
     UpperCamelCase__				       =			[
         'REALM_PRETRAINED_MODEL_ARCHIVE_LIST',
         'RealmEmbedder',
         'RealmForOpenQA',
         'RealmKnowledgeAugEncoder',
         'RealmPreTrainedModel',
         'RealmReader',
         'RealmScorer',
         'load_tf_weights_in_realm',
     ]
     UpperCamelCase__				       =			['RealmRetriever']
  
  
  if TYPE_CHECKING:
     from .configuration_realm import REALM_PRETRAINED_CONFIG_ARCHIVE_MAP, RealmConfig
     from .tokenization_realm import RealmTokenizer
  
     try:
        if not is_tokenizers_available():
           raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
        pass
     else:
        from .tokenization_realm import RealmTokenizerFast
  
     try:
        if not is_torch_available():
           raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
        pass
     else:
        from .modeling_realm import (
            REALM_PRETRAINED_MODEL_ARCHIVE_LIST,
            RealmEmbedder,
            RealmForOpenQA,
            RealmKnowledgeAugEncoder,
            RealmPreTrainedModel,
            RealmReader,
            RealmScorer,
            load_tf_weights_in_realm,
        )
        from .retrieval_realm import RealmRetriever
  
  
  else:
     import sys
  
     UpperCamelCase__				       =			_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)