





def 	_a						(   UpperCAmelCase      ,  UpperCAmelCase      ,  UpperCAmelCase      ,  UpperCAmelCase      ,  UpperCAmelCase      ,  )    ->    float:







			"""simple docstring"""
			lowerCamelCase__       :						Union[str, Any]        =							[redshift, radiation_density, matter_density, dark_energy]
			if any(p < 0 for p in parameters					):
						raise ValueError('''All input parameters must be positive'''					)

			if any(p > 1 for p in parameters[1:4]					):
						raise ValueError('''Relative densities cannot be greater than one'''					)
			else:
						lowerCamelCase__       :						Dict        =							1 - (matter_density + radiation_density + dark_energy)

						lowerCamelCase__       :						Any        =							(
						    radiation_density * (redshift + 1) ** 4
						    + matter_density * (redshift + 1) ** 3
						    + curvature * (redshift + 1) ** 2
						    + dark_energy
						)

						lowerCamelCase__       :						int        =							hubble_constant * e_a ** (1 / 2)
						return hubble


if __name__ == "__main__":
							import doctest

							# run doctest
							doctest.testmod()

							# demo LCDM approximation
							_A :   int  			=  0.3

							print(
							    hubble_parameter(
							        hubble_constant=68.3,
							        radiation_density=1e-4,
							        matter_density=matter_density,
							        dark_energy=1 - matter_density,
							        redshift=0,
							    )
							)










def 	_a						(   UpperCAmelCase					)    ->    int:







   """simple docstring"""

   if not isinstance(UpperCAmelCase      ,  UpperCAmelCase					):
      raise TypeError('''only integers accepted as input'''					)
   else:
      lowerCamelCase__       :						Any        =							str(abs(UpperCAmelCase					)					)
      lowerCamelCase__       :						Union[str, Any]        =							[list(UpperCAmelCase					) for char in range(len(UpperCAmelCase					)					)]
      for index in range(len(UpperCAmelCase					)					):
         num_transpositions[index].pop(UpperCAmelCase					)
      return max(
          int(''''''.join(list(UpperCAmelCase					)					)					) for transposition in num_transpositions					)


if __name__ == "__main__":
       __import__('doctest').testmod()



