

from __future__ import annotations

import math



class 						_A     :





  '''simple docstring'''



  def __init__(  self   ,SCREAMING_SNAKE_CASE_    ):

      '''simple docstring'''
      snake_case							:		Dict        =		size
      # approximate the overall size of segment tree with given value
      snake_case							:		Dict        =		[0 for i in range(0   ,4 * size    )]
      # create array to store lazy update
      snake_case							:		List[Any]        =		[0 for i in range(0   ,4 * size    )]
      snake_case							:		Any        =		[0 for i in range(0   ,4 * size    )]  # flag for lazy update





  def    snake_case_       (  self   ,SCREAMING_SNAKE_CASE_    ):

      '''simple docstring'''
      return idx * 2





  def    snake_case_       (  self   ,SCREAMING_SNAKE_CASE_    ):

      '''simple docstring'''
      return idx * 2 + 1





  def    snake_case_       (  self   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_    ):

      '''simple docstring'''
      if left_element == right_element:
          snake_case							:		int        =		a[left_element - 1]
      else:
          snake_case							:		List[str]        =		(left_element + right_element) // 2
          self.build(self.left(SCREAMING_SNAKE_CASE_    )   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_    )
          self.build(self.right(SCREAMING_SNAKE_CASE_    )   ,mid + 1   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_    )
          snake_case							:		str        =		max(
              self.segment_tree[self.left(SCREAMING_SNAKE_CASE_    )]   ,self.segment_tree[self.right(SCREAMING_SNAKE_CASE_    )]    )





  def    snake_case_       (  self   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_    ):

      '''simple docstring'''
      if self.flag[idx] is True:
          snake_case							:		int        =		self.lazy[idx]
          snake_case							:		List[str]        =		False
          if left_element != right_element:
              snake_case							:		int        =		self.lazy[idx]
              snake_case							:		List[str]        =		self.lazy[idx]
              snake_case							:		List[Any]        =		True
              snake_case							:		Union[str, Any]        =		True

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





  def    snake_case_       (  self   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_    ):

      '''simple docstring'''
      if self.flag[idx] is True:
          snake_case							:		List[Any]        =		self.lazy[idx]
          snake_case							:		List[Any]        =		False
          if left_element != right_element:
              snake_case							:		List[str]        =		self.lazy[idx]
              snake_case							:		int        =		self.lazy[idx]
              snake_case							:		int        =		True
              snake_case							:		str        =		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]
      snake_case							:		List[Any]        =		(left_element + right_element) // 2
      snake_case							:		List[str]        =		self.query(self.left(SCREAMING_SNAKE_CASE_    )   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_    )
      snake_case							:		Union[str, Any]        =		self.query(self.right(SCREAMING_SNAKE_CASE_    )   ,mid + 1   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_    )
      return max(SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_    )





  def __str__(  self    ):

      '''simple docstring'''
      return str([self.query(1   ,1   ,self.size   ,SCREAMING_SNAKE_CASE_   ,SCREAMING_SNAKE_CASE_    ) for i in range(1   ,self.size + 1    )]    )


if __name__ == "__main__":
     __lowercase     : Union[str, Any]       =						[1, 2, -4, 7, 3, -5, 6, 11, -20, 9, 14, 15, 5, 2, -8]
     __lowercase     : Union[str, Any]       =						15
     __lowercase     : Union[str, Any]       =						SegmentTree(size)
     segt.build(1, 1, size, A)
     print(segt.query(1, 1, size, 4, 6))
     print(segt.query(1, 1, size, 7, 11))
     print(segt.query(1, 1, size, 7, 12))
     segt.update(1, 1, size, 1, 3, 111)
     print(segt.query(1, 1, size, 1, 15))
     segt.update(1, 1, size, 7, 8, 235)
     print(segt)









'''simple docstring'''

from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_torch_available,
)


a    :							Tuple										=    {
    'configuration_encodec': [
        'ENCODEC_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'EncodecConfig',
    ],
    'feature_extraction_encodec': ['EncodecFeatureExtractor'],
}

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							a    :							str										=    [
							    'ENCODEC_PRETRAINED_MODEL_ARCHIVE_LIST',
							    'EncodecModel',
							    'EncodecPreTrainedModel',
							]

if TYPE_CHECKING:
							from .configuration_encodec import (
							    ENCODEC_PRETRAINED_CONFIG_ARCHIVE_MAP,
							    EncodecConfig,
							)
							from .feature_extraction_encodec import EncodecFeatureExtractor

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_encodec import (
														    ENCODEC_PRETRAINED_MODEL_ARCHIVE_LIST,
														    EncodecModel,
														    EncodecPreTrainedModel,
														)

else:
							import sys

							a    :							List[Any]										=    _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)

