
"""simple docstring"""


from __future__ import annotations

import math



class   __a  :






       def __init__(  self :							Optional[Any]       ,      UpperCAmelCase_ :							int			)->  None:







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






       def 	_SCREAMING_SNAKE_CASE       (  self :							str       ,      UpperCAmelCase_ :							int			)->  int:







              """simple docstring"""
              return idx * 2






       def 	_SCREAMING_SNAKE_CASE       (  self :							str       ,      UpperCAmelCase_ :							int			)->  int:







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






       def 	_SCREAMING_SNAKE_CASE       (  self :							Optional[int]       ,      UpperCAmelCase_ :							int       ,      UpperCAmelCase_ :							int       ,      UpperCAmelCase_ :							int       ,      UpperCAmelCase_ :							list[int]			)->  None:







              """simple docstring"""
              if left_element == right_element:
                     UpperCamelCase					 =		a[left_element - 1]
              else:
                     UpperCamelCase					 =		(left_element + right_element) // 2
                     self.build(self.left(UpperCAmelCase_			)       ,      UpperCAmelCase_       ,      UpperCAmelCase_       ,      UpperCAmelCase_			)
                     self.build(self.right(UpperCAmelCase_			)       ,      mid + 1       ,      UpperCAmelCase_       ,      UpperCAmelCase_			)
                     UpperCamelCase					 =		max(
                         self.segment_tree[self.left(UpperCAmelCase_			)]       ,      self.segment_tree[self.right(UpperCAmelCase_			)]			)






       def 	_SCREAMING_SNAKE_CASE       (  self :							Dict       ,      UpperCAmelCase_ :							int       ,      UpperCAmelCase_ :							int       ,      UpperCAmelCase_ :							int       ,      UpperCAmelCase_ :							int       ,      UpperCAmelCase_ :							int       ,      UpperCAmelCase_ :							int			)->  bool:







              """simple docstring"""
              if self.flag[idx] is True:
                     UpperCamelCase					 =		self.lazy[idx]
                     UpperCamelCase					 =		False
                     if left_element != right_element:
                            UpperCamelCase					 =		self.lazy[idx]
                            UpperCamelCase					 =		self.lazy[idx]
                            UpperCamelCase					 =		True
                            UpperCamelCase					 =		True

              if right_element < a or left_element > b:
                     return True
              if left_element >= a and right_element <= b:
                     UpperCamelCase					 =		val
                     if left_element != right_element:
                            UpperCamelCase					 =		val
                            UpperCamelCase					 =		val
                            UpperCamelCase					 =		True
                            UpperCamelCase					 =		True
                     return True
              UpperCamelCase					 =		(left_element + right_element) // 2
              self.update(self.left(UpperCAmelCase_			)       ,      UpperCAmelCase_       ,      UpperCAmelCase_       ,      UpperCAmelCase_       ,      UpperCAmelCase_       ,      UpperCAmelCase_			)
              self.update(self.right(UpperCAmelCase_			)       ,      mid + 1       ,      UpperCAmelCase_       ,      UpperCAmelCase_       ,      UpperCAmelCase_       ,      UpperCAmelCase_			)
              UpperCamelCase					 =		max(
                  self.segment_tree[self.left(UpperCAmelCase_			)]       ,      self.segment_tree[self.right(UpperCAmelCase_			)]			)
              return True






       def 	_SCREAMING_SNAKE_CASE       (  self :							Optional[Any]       ,      UpperCAmelCase_ :							int       ,      UpperCAmelCase_ :							int       ,      UpperCAmelCase_ :							int       ,      UpperCAmelCase_ :							int       ,      UpperCAmelCase_ :							int			)->  int | float:







              """simple docstring"""
              if self.flag[idx] is True:
                     UpperCamelCase					 =		self.lazy[idx]
                     UpperCamelCase					 =		False
                     if left_element != right_element:
                            UpperCamelCase					 =		self.lazy[idx]
                            UpperCamelCase					 =		self.lazy[idx]
                            UpperCamelCase					 =		True
                            UpperCamelCase					 =		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]
              UpperCamelCase					 =		(left_element + right_element) // 2
              UpperCamelCase					 =		self.query(self.left(UpperCAmelCase_			)       ,      UpperCAmelCase_       ,      UpperCAmelCase_       ,      UpperCAmelCase_       ,      UpperCAmelCase_			)
              UpperCamelCase					 =		self.query(self.right(UpperCAmelCase_			)       ,      mid + 1       ,      UpperCAmelCase_       ,      UpperCAmelCase_       ,      UpperCAmelCase_			)
              return max(UpperCAmelCase_       ,      UpperCAmelCase_			)






       def __str__(  self :							int			)->  str:







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


if __name__ == "__main__":
      SCREAMING_SNAKE_CASE      =     [1, 2, -4, 7, 3, -5, 6, 11, -20, 9, 14, 15, 5, 2, -8]
      SCREAMING_SNAKE_CASE      =     15
      SCREAMING_SNAKE_CASE      =     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_tokenizers_available, is_torch_available


SCREAMING_SNAKE_CASE      =     {
    """configuration_graphormer""": ["""GRAPHORMER_PRETRAINED_CONFIG_ARCHIVE_MAP""", """GraphormerConfig"""],
}

try:
      if not is_torch_available():
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      pass
else:
      SCREAMING_SNAKE_CASE      =     [
          """GRAPHORMER_PRETRAINED_MODEL_ARCHIVE_LIST""",
          """GraphormerForGraphClassification""",
          """GraphormerModel""",
          """GraphormerPreTrainedModel""",
      ]


if TYPE_CHECKING:
      from .configuration_graphormer import GRAPHORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, GraphormerConfig

      try:
            if not is_torch_available():
                  raise OptionalDependencyNotAvailable()
      except OptionalDependencyNotAvailable:
            pass
      else:
            from .modeling_graphormer import (
                GRAPHORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
                GraphormerForGraphClassification,
                GraphormerModel,
                GraphormerPreTrainedModel,
            )


else:
      import sys

      SCREAMING_SNAKE_CASE      =     _LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)





