






from __future__ import annotations

from collections.abc import MutableSequence
class       _UpperCAmelCase					:

				"""simple docstring"""




				def __init__(     self						:    Union[str, Any],  lowerCamelCase						:    int,  lowerCamelCase						:    MutableSequence[float]  ):

								'''simple docstring'''
								if len(lowerCamelCase  ) != degree + 1:
												raise ValueError(
												    '''The number of coefficients should be equal to the degree + 1.'''  )

								lowercase__    =			list(lowerCamelCase  )
								lowercase__    =			degree




				def __add__(     self						:    Optional[int],  lowerCamelCase						:    Polynomial  ):

								'''simple docstring'''

								if self.degree > polynomial_a.degree:
												lowercase__    =			self.coefficients[:]
												for i in range(polynomial_a.degree + 1  ):
																coefficients[i] += polynomial_a.coefficients[i]
												return Polynomial(self.degree,  lowerCamelCase  )
								else:
												lowercase__    =			polynomial_a.coefficients[:]
												for i in range(self.degree + 1  ):
																coefficients[i] += self.coefficients[i]
												return Polynomial(polynomial_a.degree,  lowerCamelCase  )




				def __sub__(     self						:    Any,  lowerCamelCase						:    Polynomial  ):

								'''simple docstring'''
								return self + polynomial_a * Polynomial(0,  [-1]  )




				def __neg__(     self						:    Union[str, Any]  ):

								'''simple docstring'''
								return Polynomial(self.degree,  [-c for c in self.coefficients]  )




				def __mul__(     self						:    Optional[Any],  lowerCamelCase						:    Polynomial  ):

								'''simple docstring'''
								lowercase__    =			[0] * (self.degree + polynomial_a.degree + 1)
								for i in range(self.degree + 1  ):
												for j in range(polynomial_a.degree + 1  ):
																coefficients[i + j] += (
																    self.coefficients[i] * polynomial_a.coefficients[j]
																)

								return Polynomial(self.degree + polynomial_a.degree,  lowerCamelCase  )




				def 				lowercase__   (     self						:    List[str],  lowerCamelCase						:    int | float  ):

								'''simple docstring'''
								lowercase__    =			0
								for i in range(self.degree + 1  ):
												result += self.coefficients[i] * (substitution**i)
								return result




				def __str__(     self						:    int  ):

								'''simple docstring'''
								lowercase__    =			''''''
								for i in range(self.degree,  -1,  -1  ):
												if self.coefficients[i] == 0:
																continue
												elif self.coefficients[i] > 0:
																if polynomial:
																				polynomial += " + "
												else:
																polynomial += " - "

												if i == 0:
																polynomial += str(abs(self.coefficients[i]  )  )
												elif i == 1:
																polynomial += str(abs(self.coefficients[i]  )  ) + "x"
												else:
																polynomial += str(abs(self.coefficients[i]  )  ) + "x^" + str(lowerCamelCase  )

								return polynomial




				def __repr__(     self						:    int  ):

								'''simple docstring'''
								return self.__str__()




				def 				lowercase__   (     self						:    Any  ):

								'''simple docstring'''
								lowercase__    =			[0] * self.degree
								for i in range(self.degree  ):
												lowercase__    =			self.coefficients[i + 1] * (i + 1)
								return Polynomial(self.degree - 1,  lowerCamelCase  )




				def 				lowercase__   (     self						:    Optional[int],  lowerCamelCase						:    int | float = 0  ):

								'''simple docstring'''
								lowercase__    =			[0] * (self.degree + 2)
								lowercase__    =			constant
								for i in range(self.degree + 1  ):
												lowercase__    =			self.coefficients[i] / (i + 1)
								return Polynomial(self.degree + 1,  lowerCamelCase  )




				def __eq__(     self						:    str,  lowerCamelCase						:    object  ):

								'''simple docstring'''
								if not isinstance(lowerCamelCase,  lowerCamelCase  ):
												return False

								if self.degree != polynomial_a.degree:
												return False

								for i in range(self.degree + 1  ):
												if self.coefficients[i] != polynomial_a.coefficients[i]:
																return False

								return True




				def __ne__(     self						:    List[str],  lowerCamelCase						:    object  ):

								'''simple docstring'''
								return not self.__eq__(lowerCamelCase  )












from typing import List, Optional, Union

from ...image_utils import ImageInput
from ...processing_utils import ProcessorMixin
from ...tokenization_utils_base import BatchEncoding, PaddingStrategy, PreTokenizedInput, TextInput, TruncationStrategy
from ...utils import TensorType
class       _UpperCAmelCase					(       A__	):

				"""simple docstring"""




				lowercase__											=       ["""image_processor""", """tokenizer"""]
				lowercase__											=       """BlipImageProcessor"""
				lowercase__											=       ("""BertTokenizer""", """BertTokenizerFast""")




				def __init__(     self						:    Dict,  lowerCamelCase						:    Dict,  lowerCamelCase						:    str  ):

								'''simple docstring'''
								lowercase__    =			False
								super().__init__(lowerCamelCase,  lowerCamelCase  )
								lowercase__    =			self.image_processor




				def __call__(     self						:    int,  lowerCamelCase						:    ImageInput = None,  lowerCamelCase						:    Union[TextInput, PreTokenizedInput, List[TextInput], List[PreTokenizedInput]] = None,  lowerCamelCase						:    bool = True,  lowerCamelCase						:    Union[bool, str, PaddingStrategy] = False,  lowerCamelCase						:    Union[bool, str, TruncationStrategy] = None,  lowerCamelCase						:    Optional[int] = None,  lowerCamelCase						:    int = 0,  lowerCamelCase						:    Optional[int] = None,  lowerCamelCase						:    Optional[bool] = None,  lowerCamelCase						:    bool = False,  lowerCamelCase						:    bool = False,  lowerCamelCase						:    bool = False,  lowerCamelCase						:    bool = False,  lowerCamelCase						:    bool = False,  lowerCamelCase						:    bool = True,  lowerCamelCase						:    Optional[Union[str, TensorType]] = None,  **lowerCamelCase						:    Any,  ):

								'''simple docstring'''
								if images is None and text is None:
												raise ValueError('''You have to specify either images or text.'''  )

								# Get only text
								if images is None:
												lowercase__    =			self.tokenizer
												lowercase__    =			self.tokenizer(
												    text=lowerCamelCase,  add_special_tokens=lowerCamelCase,  padding=lowerCamelCase,  truncation=lowerCamelCase,  max_length=lowerCamelCase,  stride=lowerCamelCase,  pad_to_multiple_of=lowerCamelCase,  return_attention_mask=lowerCamelCase,  return_overflowing_tokens=lowerCamelCase,  return_special_tokens_mask=lowerCamelCase,  return_offsets_mapping=lowerCamelCase,  return_token_type_ids=lowerCamelCase,  return_length=lowerCamelCase,  verbose=lowerCamelCase,  return_tensors=lowerCamelCase,  **lowerCamelCase,  )
												return text_encoding

								# add pixel_values
								lowercase__    =			self.image_processor(lowerCamelCase,  return_tensors=lowerCamelCase  )

								if text is not None:
												lowercase__    =			self.tokenizer(
												    text=lowerCamelCase,  add_special_tokens=lowerCamelCase,  padding=lowerCamelCase,  truncation=lowerCamelCase,  max_length=lowerCamelCase,  stride=lowerCamelCase,  pad_to_multiple_of=lowerCamelCase,  return_attention_mask=lowerCamelCase,  return_overflowing_tokens=lowerCamelCase,  return_special_tokens_mask=lowerCamelCase,  return_offsets_mapping=lowerCamelCase,  return_token_type_ids=lowerCamelCase,  return_length=lowerCamelCase,  verbose=lowerCamelCase,  return_tensors=lowerCamelCase,  **lowerCamelCase,  )
								else:
												lowercase__    =			None

								if text_encoding is not None:
												encoding_image_processor.update(lowerCamelCase  )

								return encoding_image_processor




				def 				lowercase__   (     self						:    Tuple,  *lowerCamelCase						:    Union[str, Any],  **lowerCamelCase						:    Optional[int]  ):

								'''simple docstring'''
								return self.tokenizer.batch_decode(*lowerCamelCase,  **lowerCamelCase  )




				def 				lowercase__   (     self						:    List[str],  *lowerCamelCase						:    int,  **lowerCamelCase						:    List[str]  ):

								'''simple docstring'''
								return self.tokenizer.decode(*lowerCamelCase,  **lowerCamelCase  )




				@property
				def 				lowercase__   (     self						:    List[str]  ):

								'''simple docstring'''
								lowercase__    =			self.tokenizer.model_input_names
								lowercase__    =			self.image_processor.model_input_names
								return list(dict.fromkeys(tokenizer_input_names + image_processor_input_names  )  )




