"""simple docstring"""






from __future__ import annotations

import math


class        UpperCAmelCase		:



    """simple docstring"""

    def __init__(  self       ,     _UpperCAmelCase				):
       lowercase__:  Union[str, Any]   = size
       # approximate the overall size of segment tree with given value
       lowercase__:  Any   = [0 for i in range(0       ,     4 * size				)]
       # create array to store lazy update
       lowercase__:  Union[str, Any]   = [0 for i in range(0       ,     4 * size				)]
       lowercase__:  Optional[Any]   = [0 for i in range(0       ,     4 * size				)]  # flag for lazy update






    def _snake_case     (  self       ,     _UpperCAmelCase				):
       return idx * 2






    def _snake_case     (  self       ,     _UpperCAmelCase				):
       return idx * 2 + 1






    def _snake_case     (  self       ,     _UpperCAmelCase       ,     _UpperCAmelCase       ,     _UpperCAmelCase       ,     _UpperCAmelCase				):
       if left_element == right_element:
          lowercase__:  Optional[int]   = a[left_element - 1]
       else:
          lowercase__:  Any   = (left_element + right_element) // 2
          self.build(self.left(A__				)       ,     A__       ,     A__       ,     A__				)
          self.build(self.right(A__				)       ,     mid + 1       ,     A__       ,     A__				)
          lowercase__:  List[Any]   = max(
              self.segment_tree[self.left(A__				)]       ,     self.segment_tree[self.right(A__				)]				)






    def _snake_case     (  self       ,     _UpperCAmelCase       ,     _UpperCAmelCase       ,     _UpperCAmelCase       ,     _UpperCAmelCase       ,     _UpperCAmelCase       ,     _UpperCAmelCase				):
       if self.flag[idx] is True:
          lowercase__:  Dict   = self.lazy[idx]
          lowercase__:  str   = False
          if left_element != right_element:
             lowercase__:  Any   = self.lazy[idx]
             lowercase__:  Dict   = self.lazy[idx]
             lowercase__:  Dict   = True
             lowercase__:  int   = True

       if right_element < a or left_element > b:
          return True
       if left_element >= a and right_element <= b:
          lowercase__:  Optional[int]   = val
          if left_element != right_element:
             lowercase__:  Optional[int]   = val
             lowercase__:  List[str]   = val
             lowercase__:  Dict   = True
             lowercase__:  Union[str, Any]   = True
          return True
       lowercase__:  List[Any]   = (left_element + right_element) // 2
       self.update(self.left(A__				)       ,     A__       ,     A__       ,     A__       ,     A__       ,     A__				)
       self.update(self.right(A__				)       ,     mid + 1       ,     A__       ,     A__       ,     A__       ,     A__				)
       lowercase__:  Union[str, Any]   = max(
           self.segment_tree[self.left(A__				)]       ,     self.segment_tree[self.right(A__				)]				)
       return True






    def _snake_case     (  self       ,     _UpperCAmelCase       ,     _UpperCAmelCase       ,     _UpperCAmelCase       ,     _UpperCAmelCase       ,     _UpperCAmelCase				):
       if self.flag[idx] is True:
          lowercase__:  Optional[Any]   = self.lazy[idx]
          lowercase__:  Tuple   = False
          if left_element != right_element:
             lowercase__:  Any   = self.lazy[idx]
             lowercase__:  Union[str, Any]   = self.lazy[idx]
             lowercase__:  Dict   = True
             lowercase__:  Dict   = True
       if right_element < a or left_element > b:
          return -math.inf
       if left_element >= a and right_element <= b:
          return self.segment_tree[idx]
       lowercase__:  Optional[int]   = (left_element + right_element) // 2
       lowercase__:  Optional[Any]   = self.query(self.left(A__				)       ,     A__       ,     A__       ,     A__       ,     A__				)
       lowercase__:  Optional[int]   = self.query(self.right(A__				)       ,     mid + 1       ,     A__       ,     A__       ,     A__				)
       return max(A__       ,     A__				)






    def __str__(  self				):
       return str([self.query(1       ,     1       ,     self.size       ,     A__       ,     A__				) for i in range(1       ,     self.size + 1				)]				)


if __name__ == "__main__":
       __A       =					[1, 2, -4, 7, 3, -5, 6, 1_1, -2_0, 9, 1_4, 1_5, 5, 2, -8]
       __A       =					1_5
       __A       =					SegmentTree(size)
       segt.build(1, 1, size, A)
       print(segt.query(1, 1, size, 4, 6))
       print(segt.query(1, 1, size, 7, 1_1))
       print(segt.query(1, 1, size, 7, 1_2))
       segt.update(1, 1, size, 1, 3, 1_1_1)
       print(segt.query(1, 1, size, 1, 1_5))
       segt.update(1, 1, size, 7, 8, 2_3_5)
       print(segt)



import contextlib
from multiprocessing import Pool, RLock

from tqdm.auto import tqdm

from ..utils import experimental, logging


A_			:					Any    			=     logging.get_logger(__name__)



class        _a		:


					'''simple docstring'''






					UpperCAmelCase__:  str    				=			None



@experimental
def 		UpperCamelCase   (lowercase_:					int       , lowercase_:					Any       , lowercase_:					str       , lowercase_:					str       , lowercase_:					List[str]       , lowercase_:					List[Any]       , lowercase_:					Union[str, Any]   )	-> Union[str, Any]:
	if ParallelBackendConfig.backend_name is None:
		return _map_with_multiprocessing_pool(
		    lowercase_       , lowercase_       , lowercase_       , lowercase_       , lowercase_       , lowercase_       , lowercase_   )

	return _map_with_joblib(lowercase_       , lowercase_       , lowercase_       , lowercase_       , lowercase_       , lowercase_       , lowercase_   )

def 		UpperCamelCase   (lowercase_:					Tuple       , lowercase_:					List[Any]       , lowercase_:					Tuple       , lowercase_:					Tuple       , lowercase_:					List[str]       , lowercase_:					Dict       , lowercase_:					Tuple   )	-> Tuple:
	A__				:       Union[str, Any]	  =						num_proc if num_proc <= len(lowercase_   ) else len(lowercase_   )
	A__				:       str	  =						[]  # We organize the splits ourselve (contiguous splits)
	for index in range(lowercase_   ):
		A__				:       Tuple	  =						len(lowercase_   ) // num_proc
		A__				:       Tuple	  =						len(lowercase_   ) % num_proc
		A__				:       Optional[Any]	  =						div * index + min(lowercase_       , lowercase_   )
		A__				:       Union[str, Any]	  =						start + div + (1 if index < mod else 0)
		split_kwds.append((function, iterable[start:end], types, index, disable_tqdm, desc)   )

	if len(lowercase_   ) != sum(len(i[1]   ) for i in split_kwds   ):
		raise ValueError(
		    f"""Error dividing inputs iterable among processes. """
		    f"""Total number of objects {len(lowercase_   )}, """
		    f"""length: {sum(len(i[1]   ) for i in split_kwds   )}"""   )

	logger.info(
	    f"""Spawning {num_proc} processes for {len(lowercase_   )} objects in slices of {[len(i[1]   ) for i in split_kwds]}"""   )
	A__  ,  A__				:       Optional[int]	  =						None, None
	if not disable_tqdm:
		A__  ,  A__				:       List[str]	  =						(RLock(),), tqdm.set_lock
	with Pool(lowercase_       , initargs=lowercase_       , initializer=lowercase_   ) as pool:
		A__				:       Optional[Any]	  =						pool.map(lowercase_       , lowercase_   )
	logger.info(f"""Finished {num_proc} processes"""   )
	A__				:       Tuple	  =						[obj for proc_res in mapped for obj in proc_res]
	logger.info(f"""Unpacked {len(lowercase_   )} objects"""   )

	return mapped

def 		UpperCamelCase   (lowercase_:					Union[str, Any]       , lowercase_:					Dict       , lowercase_:					str       , lowercase_:					Union[str, Any]       , lowercase_:					List[Any]       , lowercase_:					Dict       , lowercase_:					Optional[Any]   )	-> Union[str, Any]:
	# progress bar is not yet supported for _map_with_joblib, because tqdm couldn't accurately be applied to joblib,
	# and it requires monkey-patching joblib internal classes which is subject to change
	import joblib

	with joblib.parallel_backend(ParallelBackendConfig.backend_name       , n_jobs=lowercase_   ):
		return joblib.Parallel()(
		    joblib.delayed(lowercase_   )((function, obj, types, None, True, None)   ) for obj in iterable   )


@experimental
@contextlib.contextmanager
def 		UpperCamelCase   (lowercase_:					str   )	-> str:
	A__				:       int	  =						backend_name

	if backend_name == "spark":
		from joblibspark import register_spark

		register_spark()

		# TODO: call create_cache_and_write_probe if "download" in steps
		# TODO: raise NotImplementedError when Dataset.map etc is called

	try:
		yield
	finally:
		A__				:       Optional[Any]	  =						None



