


from __future__ import annotations

from fractions import Fraction
from math import gcd, sqrt



def 	_lowerCAmelCase  (							lowerCAmelCase_							:int							)->bool:
   '''simple docstring'''






   snake_case_    			=    int(number**0.5							)
   return number == sq * sq



def 	_lowerCAmelCase  (							lowerCAmelCase_							:int						,  lowerCAmelCase_							:int						,  lowerCAmelCase_							:int						,  lowerCAmelCase_							:int						,  lowerCAmelCase_							:int						,  lowerCAmelCase_							:int							)->tuple[int, int]:
   '''simple docstring'''






   snake_case_    			=    x_num * y_den * z_den + y_num * x_den * z_den + z_num * x_den * y_den
   snake_case_    			=    x_den * y_den * z_den
   snake_case_    			=    gcd(lowerCAmelCase_						,  lowerCAmelCase_							)
   top //= hcf
   bottom //= hcf
   return top, bottom



def 	_lowerCAmelCase  (							lowerCAmelCase_							:int = 35							)->int:
   '''simple docstring'''






   snake_case_    			=    set()
   snake_case_    			=    42
   snake_case_    			=    Fraction(0							)
   snake_case_    			=    42

   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
               snake_case_    			=    x_num * y_den + x_den * y_num
               snake_case_    			=    x_den * y_den
               snake_case_    			=    gcd(lowerCAmelCase_						,  lowerCAmelCase_							)
               z_num //= hcf
               z_den //= hcf
               if 0 < z_num < z_den <= order:
                  snake_case_    			=    add_three(
                      lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_							)
                  unique_s.add(lowerCAmelCase_							)

               # n=2
               snake_case_    			=    (
                   x_num * x_num * y_den * y_den + x_den * x_den * y_num * y_num
               )
               snake_case_    			=    x_den * x_den * y_den * y_den
               if is_sq(lowerCAmelCase_							) and is_sq(lowerCAmelCase_							):
                  snake_case_    			=    int(sqrt(lowerCAmelCase_							)							)
                  snake_case_    			=    int(sqrt(lowerCAmelCase_							)							)
                  snake_case_    			=    gcd(lowerCAmelCase_						,  lowerCAmelCase_							)
                  z_num //= hcf
                  z_den //= hcf
                  if 0 < z_num < z_den <= order:
                     snake_case_    			=    add_three(
                         lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_							)
                     unique_s.add(lowerCAmelCase_							)

                    # n=-1
               snake_case_    			=    x_num * y_num
               snake_case_    			=    x_den * y_num + x_num * y_den
               snake_case_    			=    gcd(lowerCAmelCase_						,  lowerCAmelCase_							)
               z_num //= hcf
               z_den //= hcf
               if 0 < z_num < z_den <= order:
                  snake_case_    			=    add_three(
                      lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_							)
                  unique_s.add(lowerCAmelCase_							)

               # n=2
               snake_case_    			=    x_num * x_num * y_num * y_num
               snake_case_    			=    (
                   x_den * x_den * y_num * y_num + x_num * x_num * y_den * y_den
               )
               if is_sq(lowerCAmelCase_							) and is_sq(lowerCAmelCase_							):
                  snake_case_    			=    int(sqrt(lowerCAmelCase_							)							)
                  snake_case_    			=    int(sqrt(lowerCAmelCase_							)							)
                  snake_case_    			=    gcd(lowerCAmelCase_						,  lowerCAmelCase_							)
                  z_num //= hcf
                  z_den //= hcf
                  if 0 < z_num < z_den <= order:
                     snake_case_    			=    add_three(
                         lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_						,  lowerCAmelCase_							)
                     unique_s.add(lowerCAmelCase_							)

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

   return total.denominator + total.numerator


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












import copy
from dataclasses import dataclass, field
from typing import ClassVar, Dict

from ..features import Audio, Features, Value
from .base import TaskTemplate

@dataclass(frozen=_a      )
class     _SCREAMING_SNAKE_CASE       (			_a      ):
	snake_case__							:     str     	=  field(default="""automatic-speech-recognition"""		,   metadata={"""include_in_asdict_even_if_is_default""": True}      )
	snake_case__							:     ClassVar[Features]     	=  Features({"""audio""": Audio()}      )
	snake_case__							:     ClassVar[Features]     	=  Features({"""transcription""": Value("""string"""      )}      )
	snake_case__							:     str     	=  "audio"
	snake_case__							:     str     	=  "transcription"





	def 						_A (		self				:					List[str] ,  __lowerCamelCase				:					Dict	):
		if self.audio_column not in features:
			raise ValueError(F"""Column {self.audio_column} is not present in features."""	)
		if not isinstance(features[self.audio_column] ,  __lowerCamelCase	):
			raise ValueError(F"""Column {self.audio_column} is not an Audio type."""	)
		UpperCamelCase     :int          =	copy.deepcopy(self	)
		UpperCamelCase     :Any          =	self.input_schema.copy()
		UpperCamelCase     :List[str]          =	features[self.audio_column]
		UpperCamelCase     :List[Any]          =	input_schema
		return task_template





	@property
	def 						_A (		self				:					Optional[int]	):
		return {self.audio_column: "audio", self.transcription_column: "transcription"}
