





from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt
def      _A       (		SCREAMING_SNAKE_CASE     :   int						):





  """simple docstring"""



  a__	:					int										=int(number**0.5						)
  return number == sq * sq
def      _A       (		SCREAMING_SNAKE_CASE     :   int       ,       SCREAMING_SNAKE_CASE     :   int       ,       SCREAMING_SNAKE_CASE     :   int       ,       SCREAMING_SNAKE_CASE     :   int       ,       SCREAMING_SNAKE_CASE     :   int       ,       SCREAMING_SNAKE_CASE     :   int						):





  """simple docstring"""



  a__	:					int										=x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
  a__	:					int										=x_den * y_den * z_den
  a__	:					int										=gcd(SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE						)
  top //= hcf
  bottom //= hcf
  return top, bottom
def      _A       (		SCREAMING_SNAKE_CASE     :   int = 35						):





  """simple docstring"""



  a__	:					set										=set()
  a__	:					int
  a__	:					Fraction										=Fraction(0						)
  a__	:					tuple[int, int]

  for x_num in range(1       ,       order + 1						):
    for x_den in range(x_num + 1       ,       order + 1						):
      for y_num in range(1       ,       order + 1						):
        for y_den in range(y_num + 1       ,       order + 1						):
          # n=1
          a__	:					Dict										=x_num * y_den + x_den * y_num
          a__	:					Optional[Any]										=x_den * y_den
          a__	:					int										=gcd(SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE						)
          z_num //= hcf
          z_den //= hcf
          if 0 < z_num < z_den <= order:
            a__	:					List[Any]										=add_three(
                SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE						)
            unique_s.add(SCREAMING_SNAKE_CASE						)

          # n=2
          a__	:					List[str]										=(
              x_num * x_num * y_den * y_den + x_den * x_den * y_num * y_num
          )
          a__	:					int										=x_den * x_den * y_den * y_den
          if is_sq(SCREAMING_SNAKE_CASE						) and is_sq(SCREAMING_SNAKE_CASE						):
            a__	:					Optional[int]										=int(sqrt(SCREAMING_SNAKE_CASE						)						)
            a__	:					List[str]										=int(sqrt(SCREAMING_SNAKE_CASE						)						)
            a__	:					int										=gcd(SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE						)
            z_num //= hcf
            z_den //= hcf
            if 0 < z_num < z_den <= order:
              a__	:					List[Any]										=add_three(
                  SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE						)
              unique_s.add(SCREAMING_SNAKE_CASE						)

                    # n=-1
          a__	:					List[str]										=x_num * y_num
          a__	:					Dict										=x_den * y_num + x_num * y_den
          a__	:					Tuple										=gcd(SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE						)
          z_num //= hcf
          z_den //= hcf
          if 0 < z_num < z_den <= order:
            a__	:					Dict										=add_three(
                SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE						)
            unique_s.add(SCREAMING_SNAKE_CASE						)

          # n=2
          a__	:					List[str]										=x_num * x_num * y_num * y_num
          a__	:					Optional[int]										=(
              x_den * x_den * y_num * y_num + x_num * x_num * y_den * y_den
          )
          if is_sq(SCREAMING_SNAKE_CASE						) and is_sq(SCREAMING_SNAKE_CASE						):
            a__	:					List[Any]										=int(sqrt(SCREAMING_SNAKE_CASE						)						)
            a__	:					Optional[Any]										=int(sqrt(SCREAMING_SNAKE_CASE						)						)
            a__	:					List[Any]										=gcd(SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE						)
            z_num //= hcf
            z_den //= hcf
            if 0 < z_num < z_den <= order:
              a__	:					Tuple										=add_three(
                  SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE						)
              unique_s.add(SCREAMING_SNAKE_CASE						)

  for num, den in unique_s:
    total += Fraction(SCREAMING_SNAKE_CASE       ,       SCREAMING_SNAKE_CASE						)

  return total.denominator + total.numerator


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














"""simple docstring"""





# Copyright 2023 The HuggingFace Inc. team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
from typing import TYPE_CHECKING

from ..models.auto import AutoModelForVisionaSeq
from ..utils import requires_backends
from .base import PipelineTool


if TYPE_CHECKING:
  from PIL import Image






class      a						(					__snake_case		):
    SCREAMING_SNAKE_CASE						:     Dict						= """Salesforce/blip-image-captioning-base"""
    SCREAMING_SNAKE_CASE						:     int						= (
        """This is a tool that generates a description of an image. It takes an input named `image` which should be the """
        """image to caption, and returns a text that contains the description in English."""
    )
    SCREAMING_SNAKE_CASE						:     Optional[int]						= """image_captioner"""
    SCREAMING_SNAKE_CASE						:     Optional[Any]						= AutoModelForVisionaSeq

    SCREAMING_SNAKE_CASE						:     int						= ["""image"""]
    SCREAMING_SNAKE_CASE						:     Optional[Any]						= ["""text"""]






    def __init__(       self     :							Optional[Any]       ,						*__SCREAMING_SNAKE_CASE     :							Optional[Any]       ,						**__SCREAMING_SNAKE_CASE     :							List[Any]					)     ->		Optional[Any]:
      requires_backends(self       ,						['vision']					)
      super().__init__(*__SCREAMING_SNAKE_CASE       ,						**__SCREAMING_SNAKE_CASE					)






    def    UpperCamelCase       (       self     :							List[Any]       ,						__SCREAMING_SNAKE_CASE     :							"Image"					)     ->		Dict:
      return self.pre_processor(images=__SCREAMING_SNAKE_CASE       ,						return_tensors='pt'					)






    def    UpperCamelCase       (       self     :							List[str]       ,						__SCREAMING_SNAKE_CASE     :							Tuple					)     ->		str:
      return self.model.generate(**__SCREAMING_SNAKE_CASE					)






    def    UpperCamelCase       (       self     :							Union[str, Any]       ,						__SCREAMING_SNAKE_CASE     :							List[str]					)     ->		Optional[Any]:
      return self.pre_processor.batch_decode(__SCREAMING_SNAKE_CASE       ,						skip_special_tokens=__SCREAMING_SNAKE_CASE					)[0].strip()




