






'''simple docstring'''







from .integrations import (
    is_optuna_available,
    is_ray_available,
    is_sigopt_available,
    is_wandb_available,
    run_hp_search_optuna,
    run_hp_search_ray,
    run_hp_search_sigopt,
    run_hp_search_wandb,
)
from .trainer_utils import (
    HPSearchBackend,
    default_hp_space_optuna,
    default_hp_space_ray,
    default_hp_space_sigopt,
    default_hp_space_wandb,
)
from .utils import logging


UpperCamelCase    :      Union[str, Any]  			=		logging.get_logger(__name__)




class 		UpperCamelCase__    :




  '''simple docstring'''





  _UpperCamelCase				  =					42
  _UpperCamelCase				  =					None






  @staticmethod
  def 			UpperCamelCase_					(      ):
        raise NotImplementedError






  def 			UpperCamelCase_					(      self   ,_lowerCAmelCase   ,_lowerCAmelCase   ,_lowerCAmelCase   ,**_lowerCAmelCase       ):
        raise NotImplementedError






  def 			UpperCamelCase_					(      self   ,_lowerCAmelCase       ):
        raise NotImplementedError






  def 			UpperCamelCase_					(      self       ):
        if not self.is_available():
              raise RuntimeError(
                  F'''You picked the {self.name} backend, but it is not installed. Run {self.pip_install()}.'''       )






  @classmethod
  def 			UpperCamelCase_					(      cls       ):
        return F'''`pip install {cls.pip_package or cls.name}`'''




class 		UpperCamelCase__    (a			):




  '''simple docstring'''





  _UpperCamelCase				  =					'optuna'






  @staticmethod
  def 			UpperCamelCase_					(      ):
        return is_optuna_available()






  def 			UpperCamelCase_					(      self   ,_lowerCAmelCase   ,_lowerCAmelCase   ,_lowerCAmelCase   ,**_lowerCAmelCase       ):
        return run_hp_search_optuna(_lowerCAmelCase   ,_lowerCAmelCase   ,_lowerCAmelCase   ,**_lowerCAmelCase       )






  def 			UpperCamelCase_					(      self   ,_lowerCAmelCase       ):
        return default_hp_space_optuna(_lowerCAmelCase       )




class 		UpperCamelCase__    (a			):




  '''simple docstring'''





  _UpperCamelCase				  =					'ray'
  _UpperCamelCase				  =					'\'ray[tune]\''






  @staticmethod
  def 			UpperCamelCase_					(      ):
        return is_ray_available()






  def 			UpperCamelCase_					(      self   ,_lowerCAmelCase   ,_lowerCAmelCase   ,_lowerCAmelCase   ,**_lowerCAmelCase       ):
        return run_hp_search_ray(_lowerCAmelCase   ,_lowerCAmelCase   ,_lowerCAmelCase   ,**_lowerCAmelCase       )






  def 			UpperCamelCase_					(      self   ,_lowerCAmelCase       ):
        return default_hp_space_ray(_lowerCAmelCase       )




class 		UpperCamelCase__    (a			):




  '''simple docstring'''





  _UpperCamelCase				  =					'sigopt'






  @staticmethod
  def 			UpperCamelCase_					(      ):
        return is_sigopt_available()






  def 			UpperCamelCase_					(      self   ,_lowerCAmelCase   ,_lowerCAmelCase   ,_lowerCAmelCase   ,**_lowerCAmelCase       ):
        return run_hp_search_sigopt(_lowerCAmelCase   ,_lowerCAmelCase   ,_lowerCAmelCase   ,**_lowerCAmelCase       )






  def 			UpperCamelCase_					(      self   ,_lowerCAmelCase       ):
        return default_hp_space_sigopt(_lowerCAmelCase       )




class 		UpperCamelCase__    (a			):




  '''simple docstring'''





  _UpperCamelCase				  =					'wandb'






  @staticmethod
  def 			UpperCamelCase_					(      ):
        return is_wandb_available()






  def 			UpperCamelCase_					(      self   ,_lowerCAmelCase   ,_lowerCAmelCase   ,_lowerCAmelCase   ,**_lowerCAmelCase       ):
        return run_hp_search_wandb(_lowerCAmelCase   ,_lowerCAmelCase   ,_lowerCAmelCase   ,**_lowerCAmelCase       )






  def 			UpperCamelCase_					(      self   ,_lowerCAmelCase       ):
        return default_hp_space_wandb(_lowerCAmelCase       )



UpperCamelCase    :      Union[str, Any]  			=		{
    HPSearchBackend(backend.name): backend for backend in [OptunaBackend, RayTuneBackend, SigOptBackend, WandbBackend]
}
def 						A__			(				):
      lowerCamelCase__         =  [backend for backend in ALL_HYPERPARAMETER_SEARCH_BACKENDS.values() if backend.is_available()]
      if len(__lowerCAmelCase						) > 0:
            lowerCamelCase__         =  available_backends[0].name
            if len(__lowerCAmelCase						) > 1:
                  logger.info(
                      F'''{len(__lowerCAmelCase						)} hyperparameter search backends available. Using {name} as the default.'''						)
            return name
      raise RuntimeError(
          """No hyperparameter search backend available.\n"""
          + """\n""".join(
              F''' - To install {backend.name} run {backend.pip_install()}'''
              for backend in ALL_HYPERPARAMETER_SEARCH_BACKENDS.values()						)						)









'''simple docstring'''







from __future__ import annotations

import math
def 						A__			(				__lowerCAmelCase		:			int						):

						if 1 < number < 4:
												# 2 and 3 are primes
												return True
						elif number < 2 or number % 2 == 0 or number % 3 == 0:
												# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
												return False

						# All primes number are in format of 6k +/- 1
						for i in range(5   ,    int(math.sqrt(__lowerCAmelCase						) + 1						)   ,    6						):
												if number % i == 0 or number % (i + 2) == 0:
																		return False
						return True


UpperCamelCase    :      str  			=		[num for num in range(3, 10_00_01, 2) if not is_prime(num)]
def 						A__			(				__lowerCAmelCase		:			int						):
						if not isinstance(__lowerCAmelCase   ,    __lowerCAmelCase						):
												raise ValueError("""n must be an integer"""						)
						if n <= 0:
												raise ValueError("""n must be >= 0"""						)

						lowerCamelCase__         =  []
						for num in range(len(__lowerCAmelCase						)						):
												lowerCamelCase__         =  0
												while 2 * i * i <= odd_composites[num]:
																		lowerCamelCase__         =  odd_composites[num] - 2 * i * i
																		if is_prime(__lowerCAmelCase						):
																								break
																		i += 1
												else:
																		list_nums.append(odd_composites[num]						)
																		if len(__lowerCAmelCase						) == n:
																								return list_nums

						return []
def 						A__			(				):
						return compute_nums(1						)[0]


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

