code: 
  '''simple docstring'''
  
  from functools import lru_cache
  
  
  @lru_cache
  def 	_UpperCAmelCase				(  _lowerCamelCase						:       int		)    ->						int:
  		if not isinstance(_lowerCamelCase  ,      _lowerCamelCase		):
  				raise TypeError("""k must be an integer."""		)
  		if k < 0:
  				raise ValueError("""k integer must be greater or equal to zero."""		)
  		if k == 0:
  				return 0
  		elif k == 1:
  				return 1
  		else:
  				return fibonacci(k - 1		) + fibonacci(k - 2		)
  
  
  def 	_UpperCAmelCase				(  _lowerCamelCase						:       list  ,      _lowerCamelCase						:       int		)    ->						int:
  		_lowerCAmelCase       :  Dict   				=					len(_lowerCamelCase		)
  		# Find m such that F_m >= n where F_i is the i_th fibonacci number.
  		_lowerCAmelCase       :  Tuple   				=					0
  		while True:
  				if fibonacci(_lowerCamelCase		) >= len_list:
  						_lowerCAmelCase       :  Optional[int]   				=					i
  						break
  				i += 1
  		_lowerCAmelCase       :  Optional[Any]   				=					0
  		while fibb_k > 0:
  				_lowerCAmelCase       :  List[str]   				=					min(
  				    offset + fibonacci(fibb_k - 1		)  ,      len_list - 1		)  # Prevent out of range
  				_lowerCAmelCase       :  Any   				=					arr[index_k]
  				if item_k_1 == val:
  						return index_k
  				elif val < item_k_1:
  						fibb_k -= 1
  				elif val > item_k_1:
  						offset += fibonacci(fibb_k - 1		)
  						fibb_k -= 2
  		else:
  				return -1
  
  
  if __name__ == "__main__":
  					import doctest
  
  					doctest.testmod()
  
  
  
style_context: 
  '''simple docstring'''
  
  from typing import TYPE_CHECKING
  
  from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available
  
  
  UpperCamelCase_     			=       {
      """configuration_deformable_detr""": ["""DEFORMABLE_DETR_PRETRAINED_CONFIG_ARCHIVE_MAP""", """DeformableDetrConfig"""],
  }
  
  try:
       if not is_vision_available():
            raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
       pass
  else:
       UpperCamelCase_     			=       ["""DeformableDetrFeatureExtractor"""]
       UpperCamelCase_     			=       ["""DeformableDetrImageProcessor"""]
  
  try:
       if not is_torch_available():
            raise OptionalDependencyNotAvailable()
  except OptionalDependencyNotAvailable:
       pass
  else:
       UpperCamelCase_     			=       [
           """DEFORMABLE_DETR_PRETRAINED_MODEL_ARCHIVE_LIST""",
           """DeformableDetrForObjectDetection""",
           """DeformableDetrModel""",
           """DeformableDetrPreTrainedModel""",
       ]
  
  
  if TYPE_CHECKING:
       from .configuration_deformable_detr import DEFORMABLE_DETR_PRETRAINED_CONFIG_ARCHIVE_MAP, DeformableDetrConfig
  
       try:
            if not is_vision_available():
                 raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
            pass
       else:
            from .feature_extraction_deformable_detr import DeformableDetrFeatureExtractor
            from .image_processing_deformable_detr import DeformableDetrImageProcessor
  
       try:
            if not is_torch_available():
                 raise OptionalDependencyNotAvailable()
       except OptionalDependencyNotAvailable:
            pass
       else:
            from .modeling_deformable_detr import (
                DEFORMABLE_DETR_PRETRAINED_MODEL_ARCHIVE_LIST,
                DeformableDetrForObjectDetection,
                DeformableDetrModel,
                DeformableDetrPreTrainedModel,
            )
  
  else:
       import sys
  
       UpperCamelCase_     			=       _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)
  
  
  