




'''simple docstring'''


import math







class     SCREAMING_SNAKE_CASE						:






      def __init__(   self      :     Optional[int]	,	lowercase__      :     Tuple					):


           '''simple docstring'''

           a_    :       Optional[Any]    	=     len(lowercase__					)
           a_    :       Optional[int]    	=     [0] * (
               4 * self.N
           )  # approximate the overall size of segment tree with array N
           self.build(1	,	0	,	self.N - 1					)






      def        lowercase_	(   self      :     Union[str, Any]	,	lowercase__      :     List[Any]					):


           '''simple docstring'''

           return idx * 2






      def        lowercase_	(   self      :     int	,	lowercase__      :     int					):


           '''simple docstring'''

           return idx * 2 + 1






      def        lowercase_	(   self      :     Union[str, Any]	,	lowercase__      :     List[str]	,	lowercase__      :     Union[str, Any]	,	lowercase__      :     Optional[Any]					):  # noqa: E741


           '''simple docstring'''

           if l == r:
                a_    :       Tuple    	=     A[l]
           else:
                a_    :       Union[str, Any]    	=     (l + r) // 2
                self.build(self.left(lowercase__					)	,	lowercase__	,	lowercase__					)
                self.build(self.right(lowercase__					)	,	mid + 1	,	lowercase__					)
                a_    :       Tuple    	=     max(self.st[self.left(lowercase__					)]	,	self.st[self.right(lowercase__					)]					)






      def        lowercase_	(   self      :     Optional[int]	,	lowercase__      :     Optional[Any]	,	lowercase__      :     Dict	,	lowercase__      :     Optional[Any]					):


           '''simple docstring'''

           return self.update_recursive(1	,	0	,	self.N - 1	,	a - 1	,	b - 1	,	lowercase__					)






      def        lowercase_	(   self      :     int	,	lowercase__      :     Optional[int]	,	lowercase__      :     Tuple	,	lowercase__      :     Optional[int]	,	lowercase__      :     Optional[int]	,	lowercase__      :     Tuple	,	lowercase__      :     Tuple					):  # noqa: E741


           '''simple docstring'''

           if r < a or l > b:
                return True
           if l == r:
                a_    :       Optional[int]    	=     val
                return True
           a_    :       Optional[Any]    	=     (l + r) // 2
           self.update_recursive(self.left(lowercase__					)	,	lowercase__	,	lowercase__	,	lowercase__	,	lowercase__	,	lowercase__					)
           self.update_recursive(self.right(lowercase__					)	,	mid + 1	,	lowercase__	,	lowercase__	,	lowercase__	,	lowercase__					)
           a_    :       Dict    	=     max(self.st[self.left(lowercase__					)]	,	self.st[self.right(lowercase__					)]					)
           return True






      def        lowercase_	(   self      :     Optional[int]	,	lowercase__      :     List[Any]	,	lowercase__      :     Union[str, Any]					):


           '''simple docstring'''

           return self.query_recursive(1	,	0	,	self.N - 1	,	a - 1	,	b - 1					)






      def        lowercase_	(   self      :     Union[str, Any]	,	lowercase__      :     Optional[Any]	,	lowercase__      :     List[Any]	,	lowercase__      :     List[str]	,	lowercase__      :     Optional[int]	,	lowercase__      :     Tuple					):  # noqa: E741


           '''simple docstring'''

           if r < a or l > b:
                return -math.inf
           if l >= a and r <= b:
                return self.st[idx]
           a_    :       List[str]    	=     (l + r) // 2
           a_    :       str    	=     self.query_recursive(self.left(lowercase__					)	,	lowercase__	,	lowercase__	,	lowercase__	,	lowercase__					)
           a_    :       str    	=     self.query_recursive(self.right(lowercase__					)	,	mid + 1	,	lowercase__	,	lowercase__	,	lowercase__					)
           return max(lowercase__	,	lowercase__					)






      def        lowercase_	(   self      :     str					):


           '''simple docstring'''

           a_    :       Union[str, Any]    	=     []
           for i in range(1	,	N + 1					):
                show_list += [self.query(lowercase__	,	lowercase__					)]
           print(lowercase__					)


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






'''simple docstring'''


from typing import TYPE_CHECKING

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


lowerCAmelCase_			:     int							    =     {
    'configuration_dpr': ['DPR_PRETRAINED_CONFIG_ARCHIVE_MAP', 'DPRConfig'],
    'tokenization_dpr': [
        'DPRContextEncoderTokenizer',
        'DPRQuestionEncoderTokenizer',
        'DPRReaderOutput',
        'DPRReaderTokenizer',
    ],
}


try:
 if not is_tokenizers_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowerCAmelCase_			:     Union[str, Any]							    =     [
     'DPRContextEncoderTokenizerFast',
     'DPRQuestionEncoderTokenizerFast',
     'DPRReaderTokenizerFast',
 ]

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowerCAmelCase_			:     List[str]							    =     [
     'DPR_CONTEXT_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST',
     'DPR_QUESTION_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST',
     'DPR_READER_PRETRAINED_MODEL_ARCHIVE_LIST',
     'DPRContextEncoder',
     'DPRPretrainedContextEncoder',
     'DPRPreTrainedModel',
     'DPRPretrainedQuestionEncoder',
     'DPRPretrainedReader',
     'DPRQuestionEncoder',
     'DPRReader',
 ]

try:
 if not is_tf_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 lowerCAmelCase_			:     Dict							    =     [
     'TF_DPR_CONTEXT_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST',
     'TF_DPR_QUESTION_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST',
     'TF_DPR_READER_PRETRAINED_MODEL_ARCHIVE_LIST',
     'TFDPRContextEncoder',
     'TFDPRPretrainedContextEncoder',
     'TFDPRPretrainedQuestionEncoder',
     'TFDPRPretrainedReader',
     'TFDPRQuestionEncoder',
     'TFDPRReader',
 ]


if TYPE_CHECKING:
 from .configuration_dpr import DPR_PRETRAINED_CONFIG_ARCHIVE_MAP, DPRConfig
 from .tokenization_dpr import (
     DPRContextEncoderTokenizer,
     DPRQuestionEncoderTokenizer,
     DPRReaderOutput,
     DPRReaderTokenizer,
 )

 try:
  if not is_tokenizers_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .tokenization_dpr_fast import (
      DPRContextEncoderTokenizerFast,
      DPRQuestionEncoderTokenizerFast,
      DPRReaderTokenizerFast,
  )

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_dpr import (
      DPR_CONTEXT_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST,
      DPR_QUESTION_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST,
      DPR_READER_PRETRAINED_MODEL_ARCHIVE_LIST,
      DPRContextEncoder,
      DPRPretrainedContextEncoder,
      DPRPreTrainedModel,
      DPRPretrainedQuestionEncoder,
      DPRPretrainedReader,
      DPRQuestionEncoder,
      DPRReader,
  )

 try:
  if not is_tf_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_tf_dpr import (
      TF_DPR_CONTEXT_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST,
      TF_DPR_QUESTION_ENCODER_PRETRAINED_MODEL_ARCHIVE_LIST,
      TF_DPR_READER_PRETRAINED_MODEL_ARCHIVE_LIST,
      TFDPRContextEncoder,
      TFDPRPretrainedContextEncoder,
      TFDPRPretrainedQuestionEncoder,
      TFDPRPretrainedReader,
      TFDPRQuestionEncoder,
      TFDPRReader,
  )

else:
 import sys

 lowerCAmelCase_			:     int							    =     _LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)
