


'''simple docstring'''



from __future__ import annotations

import math





class    UpperCAmelCase_  :





    """simple docstring"""






    def __init__(							self			,     SCREAMING_SNAKE_CASE_	)				->     None:
         __lowerCamelCase   :	Optional[Any]								=		size
         # approximate the overall size of segment tree with given value
         __lowerCamelCase   :	int								=		[0 for i in range(0			,     4 * size	)]
         # create array to store lazy update
         __lowerCamelCase   :	Any								=		[0 for i in range(0			,     4 * size	)]
         __lowerCamelCase   :	Tuple								=		[0 for i in range(0			,     4 * size	)]  # flag for lazy update







    def       lowercase_				(							self			,     SCREAMING_SNAKE_CASE_	)				->     int:
         return idx * 2







    def       lowercase_				(							self			,     SCREAMING_SNAKE_CASE_	)				->     int:
         return idx * 2 + 1







    def       lowercase_				(							self			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_	)				->     None:
         if left_element == right_element:
              __lowerCamelCase   :	str								=		a[left_element - 1]
         else:
              __lowerCamelCase   :	List[Any]								=		(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_	)
              __lowerCamelCase   :	Optional[Any]								=		max(
                  self.segment_tree[self.left(SCREAMING_SNAKE_CASE_	)]			,     self.segment_tree[self.right(SCREAMING_SNAKE_CASE_	)]	)







    def       lowercase_				(							self			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_	)				->     bool:
         if self.flag[idx] is True:
              __lowerCamelCase   :	str								=		self.lazy[idx]
              __lowerCamelCase   :	Optional[Any]								=		False
              if left_element != right_element:
                   __lowerCamelCase   :	List[Any]								=		self.lazy[idx]
                   __lowerCamelCase   :	Union[str, Any]								=		self.lazy[idx]
                   __lowerCamelCase   :	Tuple								=		True
                   __lowerCamelCase   :	Any								=		True

         if right_element < a or left_element > b:
              return True
         if left_element >= a and right_element <= b:
              __lowerCamelCase   :	Union[str, Any]								=		val
              if left_element != right_element:
                   __lowerCamelCase   :	int								=		val
                   __lowerCamelCase   :	str								=		val
                   __lowerCamelCase   :	Union[str, Any]								=		True
                   __lowerCamelCase   :	Dict								=		True
              return True
         __lowerCamelCase   :	int								=		(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_	)
         __lowerCamelCase   :	Optional[Any]								=		max(
             self.segment_tree[self.left(SCREAMING_SNAKE_CASE_	)]			,     self.segment_tree[self.right(SCREAMING_SNAKE_CASE_	)]	)
         return True







    def       lowercase_				(							self			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_	)				->     int | float:
         if self.flag[idx] is True:
              __lowerCamelCase   :	Union[str, Any]								=		self.lazy[idx]
              __lowerCamelCase   :	List[str]								=		False
              if left_element != right_element:
                   __lowerCamelCase   :	Dict								=		self.lazy[idx]
                   __lowerCamelCase   :	Optional[int]								=		self.lazy[idx]
                   __lowerCamelCase   :	str								=		True
                   __lowerCamelCase   :	Any								=		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]
         __lowerCamelCase   :	Optional[int]								=		(left_element + right_element) // 2
         __lowerCamelCase   :	Any								=		self.query(self.left(SCREAMING_SNAKE_CASE_	)			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_	)
         __lowerCamelCase   :	Optional[int]								=		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	)				->     str:
         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__":
      A__		:					Any												=  [1, 2, -4, 7, 3, -5, 6, 11, -20, 9, 14, 15, 5, 2, -8]
      A__		:					str												=  15
      A__		:					int												=  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'''



A__		:					Optional[int]												=  """ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/"""



def 			UpperCAmelCase__					(	UpperCAmelCase_    :				bytes							)     ->		bytes:
     # Make sure the supplied data is a bytes-like object
     if not isinstance(UpperCAmelCase_      ,    UpperCAmelCase_							):
          __lowerCamelCase   :	Dict								=		F'a bytes-like object is required, not \'{data.__class__.__name__}\''
          raise TypeError(UpperCAmelCase_							)

     __lowerCamelCase   :	Optional[int]								=		''.join(bin(UpperCAmelCase_							)[2:].zfill(8							) for byte in data							)

     __lowerCamelCase   :	Any								=		len(UpperCAmelCase_							) % 6 != 0

     if padding_needed:
          # The padding that will be added later
          __lowerCamelCase   :	int								=		B'=' * ((6 - len(UpperCAmelCase_							) % 6) // 2)

          # Append binary_stream with arbitrary binary digits (0's by default) to make its
          # length a multiple of 6.
          binary_stream += "0" * (6 - len(UpperCAmelCase_							) % 6)
     else:
          __lowerCamelCase   :	str								=		B''

     # Encode every 6 binary digits to their corresponding Base64 character
     return (
         "".join(
             B64_CHARSET[int(binary_stream[index : index + 6]      ,    2							)]
             for index in range(0      ,    len(UpperCAmelCase_							)      ,    6							)							).encode()
         + padding
     )



def 			UpperCAmelCase__					(	UpperCAmelCase_    :				str							)     ->		bytes:
     # Make sure encoded_data is either a string or a bytes-like object
     if not isinstance(UpperCAmelCase_      ,    UpperCAmelCase_							) and not isinstance(UpperCAmelCase_      ,    UpperCAmelCase_							):
          __lowerCamelCase   :	Dict								=		(
              'argument should be a bytes-like object or ASCII string, '
              F'not \'{encoded_data.__class__.__name__}\''
          )
          raise TypeError(UpperCAmelCase_							)

     # In case encoded_data is a bytes-like object, make sure it contains only
     # ASCII characters so we convert it to a string object
     if isinstance(UpperCAmelCase_      ,    UpperCAmelCase_							):
          try:
               __lowerCamelCase   :	int								=		encoded_data.decode('utf-8'							)
          except UnicodeDecodeError:
               raise ValueError('base64 encoded data should only contain ASCII characters'							)

     __lowerCamelCase   :	Union[str, Any]								=		encoded_data.count('='							)

     # Check if the encoded string contains non base64 characters
     if padding:
          assert all(
              char in B64_CHARSET for char in encoded_data[:-padding]							), "Invalid base64 character(s) found."
     else:
          assert all(
              char in B64_CHARSET for char in encoded_data							), "Invalid base64 character(s) found."

     # Check the padding
     assert len(UpperCAmelCase_							) % 4 == 0 and padding < 3, "Incorrect padding"

     if padding:
          # Remove padding if there is one
          __lowerCamelCase   :	Any								=		encoded_data[:-padding]

          __lowerCamelCase   :	Optional[Any]								=		''.join(
              bin(B64_CHARSET.index(UpperCAmelCase_							)							)[2:].zfill(6							) for char in encoded_data							)[: -padding * 2]
     else:
          __lowerCamelCase   :	Any								=		''.join(
              bin(B64_CHARSET.index(UpperCAmelCase_							)							)[2:].zfill(6							) for char in encoded_data							)

     __lowerCamelCase   :	str								=		[
         int(binary_stream[index : index + 8]      ,    2							)
         for index in range(0      ,    len(UpperCAmelCase_							)      ,    8							)
     ]

     return bytes(UpperCAmelCase_							)


if __name__ == "__main__":
      import doctest

      doctest.testmod()






