


'''simple docstring'''



import logging
import os
from logging import (
    CRITICAL,  # NOQA
    DEBUG,  # NOQA
    ERROR,  # NOQA
    FATAL,  # NOQA
    INFO,  # NOQA
    NOTSET,  # NOQA
    WARN,  # NOQA
    WARNING,  # NOQA
)
from typing import Optional

from tqdm import auto as tqdm_lib


A__		:					int												=  {
    """debug""": logging.DEBUG,
    """info""": logging.INFO,
    """warning""": logging.WARNING,
    """error""": logging.ERROR,
    """critical""": logging.CRITICAL,
}

A__		:					int												=  logging.WARNING



def 			UpperCAmelCase__					(	)     ->		List[Any]:
     __lowerCamelCase   :	str								=		os.getenv('DATASETS_VERBOSITY'      ,    UpperCAmelCase_							)
     if env_level_str:
          if env_level_str in log_levels:
               return log_levels[env_level_str]
          else:
               logging.getLogger().warning(
                   F'Unknown option DATASETS_VERBOSITY={env_level_str}, '
                   F'has to be one of: { ", ".join(log_levels.keys()							) }'							)
     return _default_log_level



def 			UpperCAmelCase__					(	)     ->		str:
     return __name__.split('.'							)[0]



def 			UpperCAmelCase__					(	)     ->		logging.Logger:
     return logging.getLogger(_get_library_name()							)



def 			UpperCAmelCase__					(	)     ->		None:
     # Apply our default configuration to the library root logger.
     __lowerCamelCase   :	List[Any]								=		_get_library_root_logger()
     library_root_logger.setLevel(_get_default_logging_level()							)



def 			UpperCAmelCase__					(	)     ->		None:
     __lowerCamelCase   :	Any								=		_get_library_root_logger()
     library_root_logger.setLevel(logging.NOTSET							)



def 			UpperCAmelCase__					(	UpperCAmelCase_    :				Optional[str] = None							)     ->		logging.Logger:
     if name is None:
          __lowerCamelCase   :	Union[str, Any]								=		_get_library_name()
     return logging.getLogger(UpperCAmelCase_							)



def 			UpperCAmelCase__					(	)     ->		int:
     return _get_library_root_logger().getEffectiveLevel()



def 			UpperCAmelCase__					(	UpperCAmelCase_    :				int							)     ->		None:
     _get_library_root_logger().setLevel(UpperCAmelCase_							)



def 			UpperCAmelCase__					(	)     ->		Dict:
     return set_verbosity(UpperCAmelCase_							)



def 			UpperCAmelCase__					(	)     ->		Optional[int]:
     return set_verbosity(UpperCAmelCase_							)



def 			UpperCAmelCase__					(	)     ->		List[Any]:
     return set_verbosity(UpperCAmelCase_							)



def 			UpperCAmelCase__					(	)     ->		List[str]:
     return set_verbosity(UpperCAmelCase_							)



def 			UpperCAmelCase__					(	)     ->		None:
     __lowerCamelCase   :	List[str]								=		False



def 			UpperCAmelCase__					(	)     ->		None:
     __lowerCamelCase   :	List[Any]								=		True


# Configure the library root logger at the module level (singleton-like)
_configure_library_root_logger()





class    UpperCAmelCase_  :





    """simple docstring"""






    def __init__(							self			,     *SCREAMING_SNAKE_CASE_			,     **SCREAMING_SNAKE_CASE_	)				->     Any:  # pylint: disable=unused-argument
         __lowerCamelCase   :	str								=		args[0] if args else None







    def __iter__(							self	)				->     str:
         return iter(self._iterator	)







    def __getattr__(							self			,     SCREAMING_SNAKE_CASE_	)				->     Dict:

         def empty_fn(*SCREAMING_SNAKE_CASE_			,     **SCREAMING_SNAKE_CASE_	):  # pylint: disable=unused-argument
              return

         return empty_fn







    def __enter__(							self	)				->     List[Any]:
         return self







    def __exit__(							self			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_	)				->     List[str]:
         return







A__		:					List[str]												=  True





class    UpperCAmelCase_  :





    """simple docstring"""






    def __call__(							self			,     *SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_=False			,     **SCREAMING_SNAKE_CASE_	)				->     str:
         if _tqdm_active and not disable:
              return tqdm_lib.tqdm(*SCREAMING_SNAKE_CASE_			,     **SCREAMING_SNAKE_CASE_	)
         else:
              return EmptyTqdm(*SCREAMING_SNAKE_CASE_			,     **SCREAMING_SNAKE_CASE_	)







    def       lowercase_				(							self			,     *SCREAMING_SNAKE_CASE_			,     **SCREAMING_SNAKE_CASE_	)				->     Any:
         __lowerCamelCase   :	Union[str, Any]								=		None
         if _tqdm_active:
              return tqdm_lib.tqdm.set_lock(*SCREAMING_SNAKE_CASE_			,     **SCREAMING_SNAKE_CASE_	)







    def       lowercase_				(							self	)				->     Union[str, Any]:
         if _tqdm_active:
              return tqdm_lib.tqdm.get_lock()







A__		:					Any												=  _tqdm_cls()



def 			UpperCAmelCase__					(	)     ->		bool:
     global _tqdm_active
     return bool(_tqdm_active							)



def 			UpperCAmelCase__					(	)     ->		List[Any]:
     global _tqdm_active
     __lowerCamelCase   :	Optional[int]								=		True



def 			UpperCAmelCase__					(	)     ->		int:
     global _tqdm_active
     __lowerCamelCase   :	Tuple								=		False










'''simple docstring'''



def 			UpperCAmelCase__					(	UpperCAmelCase_    :				List[Any]							)     ->		str:
     __lowerCamelCase   :	Tuple								=		0
     __lowerCamelCase   :	Optional[int]								=		len(UpperCAmelCase_							)

     for i in range(n - 1							):
          for j in range(i + 1      ,    UpperCAmelCase_							):
               if arr[i] > arr[j]:
                    num_inversions += 1

     return num_inversions



def 			UpperCAmelCase__					(	UpperCAmelCase_    :				str							)     ->		Optional[int]:
     if len(UpperCAmelCase_							) <= 1:
          return arr, 0
     __lowerCamelCase   :	str								=		len(UpperCAmelCase_							) // 2
     __lowerCamelCase   :	List[Any]								=		arr[0:mid]
     __lowerCamelCase   :	List[str]								=		arr[mid:]

     __lowerCamelCase				,       __lowerCamelCase   :	int								=		count_inversions_recursive(UpperCAmelCase_							)
     __lowerCamelCase				,       __lowerCamelCase   :	Optional[Any]								=		count_inversions_recursive(UpperCAmelCase_							)
     __lowerCamelCase				,       __lowerCamelCase   :	Any								=		_count_cross_inversions(UpperCAmelCase_      ,    UpperCAmelCase_							)

     __lowerCamelCase   :	Optional[int]								=		inversion_p + inversions_q + cross_inversions
     return c, num_inversions



def 			UpperCAmelCase__					(	UpperCAmelCase_    :				List[Any]      ,    UpperCAmelCase_    :				List[str]							)     ->		Optional[Any]:
     __lowerCamelCase   :	List[str]								=		[]
     __lowerCamelCase   :	Optional[int]								=		0
     while i < len(UpperCAmelCase_							) and j < len(UpperCAmelCase_							):
          if p[i] > q[j]:
               # if P[1] > Q[j], then P[k] > Q[k] for all  i < k <= len(P)
               # These are all inversions. The claim emerges from the
               # property that P is sorted.
               num_inversion += len(UpperCAmelCase_							) - i
               r.append(q[j]							)
               j += 1
          else:
               r.append(p[i]							)
               i += 1

     if i < len(UpperCAmelCase_							):
          r.extend(p[i:]							)
     else:
          r.extend(q[j:]							)

     return r, num_inversion



def 			UpperCAmelCase__					(	)     ->		List[str]:
     __lowerCamelCase   :	Any								=		[10, 2, 1, 5, 5, 2, 11]

     # this arr has 8 inversions:
     # (10, 2), (10, 1), (10, 5), (10, 5), (10, 2), (2, 1), (5, 2), (5, 2)

     __lowerCamelCase   :	Optional[Any]								=		count_inversions_bf(UpperCAmelCase_							)
     __lowerCamelCase				,       __lowerCamelCase   :	Dict								=		count_inversions_recursive(UpperCAmelCase_							)

     assert num_inversions_bf == num_inversions_recursive == 8

     print('number of inversions = '      ,    UpperCAmelCase_							)

     # testing an array with zero inversion (a sorted arr_1)

     arr_a.sort()
     __lowerCamelCase   :	Optional[Any]								=		count_inversions_bf(UpperCAmelCase_							)
     __lowerCamelCase				,       __lowerCamelCase   :	int								=		count_inversions_recursive(UpperCAmelCase_							)

     assert num_inversions_bf == num_inversions_recursive == 0
     print('number of inversions = '      ,    UpperCAmelCase_							)

     # an empty list should also have zero inversions
     __lowerCamelCase   :	Dict								=		[]
     __lowerCamelCase   :	Optional[Any]								=		count_inversions_bf(UpperCAmelCase_							)
     __lowerCamelCase				,       __lowerCamelCase   :	Union[str, Any]								=		count_inversions_recursive(UpperCAmelCase_							)

     assert num_inversions_bf == num_inversions_recursive == 0
     print('number of inversions = '      ,    UpperCAmelCase_							)


if __name__ == "__main__":
      main()






