






"""simple docstring"""






# flake8: noqa
# Lint as: python3

from typing import Dict, List, Optional, Type

from .. import config
from ..utils import logging
from .formatting import (
    ArrowFormatter,
    CustomFormatter,
    Formatter,
    PandasFormatter,
    PythonFormatter,
    TensorFormatter,
    format_table,
    query_table,
)
from .np_formatter import NumpyFormatter


UpperCAmelCase_     :				List[str]         =				logging.get_logger(__name__)

UpperCAmelCase_     :				Dict[Optional[str], Type[Formatter]]         =				{}
UpperCAmelCase_     :				Dict[Optional[str], str]         =				{}
UpperCAmelCase_     :				Dict[Optional[str], Exception]         =				{}



def       _A    (__a					,       __a					,       __a = None					,       )				-> Tuple:
    """simple docstring"""






    SCREAMING_SNAKE_CASE_   :						Optional[Any]							=	aliases if aliases is not None else []
    if format_type in _FORMAT_TYPES:
        logger.warning(
            f'Overwriting format type \'{format_type}\' ({_FORMAT_TYPES[format_type].__name__} -> {formatter_cls.__name__})'							)
    SCREAMING_SNAKE_CASE_   :						str							=	formatter_cls
    for alias in set(aliases + [format_type]							):
        if alias in _FORMAT_TYPES_ALIASES:
            logger.warning(
                f'Overwriting format type alias \'{alias}\' ({_FORMAT_TYPES_ALIASES[alias]} -> {format_type})'							)
        SCREAMING_SNAKE_CASE_   :						Union[str, Any]							=	format_type



def       _A    (__a					,       __a					,       __a = None							)				-> Union[str, Any]:
    """simple docstring"""






    SCREAMING_SNAKE_CASE_   :						Any							=	aliases if aliases is not None else []
    for alias in set(aliases + [format_type]							):
        SCREAMING_SNAKE_CASE_   :						str							=	unavailable_error


# Here we define all the available formatting functions that can be used by `Dataset.set_format`
_register_formatter(PythonFormatter, None, aliases=["""python"""])
_register_formatter(ArrowFormatter, """arrow""", aliases=["""pa""", """pyarrow"""])
_register_formatter(NumpyFormatter, """numpy""", aliases=["""np"""])
_register_formatter(PandasFormatter, """pandas""", aliases=["""pd"""])
_register_formatter(CustomFormatter, """custom""")

if config.TORCH_AVAILABLE:
  from .torch_formatter import TorchFormatter

  _register_formatter(TorchFormatter, """torch""", aliases=["""pt""", """pytorch"""])
else:
  UpperCAmelCase_     :				Optional[Any]         =				ValueError("""PyTorch needs to be installed to be able to return PyTorch tensors.""")
  _register_unavailable_formatter(_torch_error, """torch""", aliases=["""pt""", """pytorch"""])

if config.TF_AVAILABLE:
  from .tf_formatter import TFFormatter

  _register_formatter(TFFormatter, """tensorflow""", aliases=["""tf"""])
else:
  UpperCAmelCase_     :				Any         =				ValueError("""Tensorflow needs to be installed to be able to return Tensorflow tensors.""")
  _register_unavailable_formatter(_tf_error, """tensorflow""", aliases=["""tf"""])

if config.JAX_AVAILABLE:
  from .jax_formatter import JaxFormatter

  _register_formatter(JaxFormatter, """jax""", aliases=[])
else:
  UpperCAmelCase_     :				List[str]         =				ValueError("""JAX needs to be installed to be able to return JAX arrays.""")
  _register_unavailable_formatter(_jax_error, """jax""", aliases=[])



def       _A    (__a							)				-> Union[str, Any]:
    """simple docstring"""






    if format_type in _FORMAT_TYPES_ALIASES:
        return _FORMAT_TYPES_ALIASES[format_type]
    else:
        return format_type





def       _A    (__a					,       **__a							)				-> int:
    """simple docstring"""






    SCREAMING_SNAKE_CASE_   :						str							=	get_format_type_from_alias(__a							)
    if format_type in _FORMAT_TYPES:
        return _FORMAT_TYPES[format_type](**__a							)
    if format_type in _FORMAT_TYPES_ALIASES_UNAVAILABLE:
        raise _FORMAT_TYPES_ALIASES_UNAVAILABLE[format_type]
    else:
        raise ValueError(
            f'Return type should be None or selected in {list(type for type in _FORMAT_TYPES.keys() if type != None							)}, but got \'{format_type}\''							)














"""simple docstring"""






from math import isqrt



def       _A    (__a							)				-> list[int]:
    """simple docstring"""






    SCREAMING_SNAKE_CASE_   :						Optional[Any]							=	[True] * max_number
    for i in range(2					,       isqrt(max_number - 1							) + 1							):
        if is_prime[i]:
            for j in range(i**2					,       __a					,       __a							):
                SCREAMING_SNAKE_CASE_   :						Tuple							=	False

    return [i for i in range(2					,       __a							) if is_prime[i]]



def       _A    (__a = 10**8							)				-> int:
    """simple docstring"""






    SCREAMING_SNAKE_CASE_   :						Any							=	calculate_prime_numbers(max_number // 2							)

    SCREAMING_SNAKE_CASE_   :						List[str]							=	0
    SCREAMING_SNAKE_CASE_   :						Any							=	0
    SCREAMING_SNAKE_CASE_   :						List[str]							=	len(__a							) - 1
    while left <= right:
        while prime_numbers[left] * prime_numbers[right] >= max_number:
            right -= 1
        semiprimes_count += right - left + 1
        left += 1

    return semiprimes_count


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


