



'''simple docstring'''


from __future__ import annotations

import math

class  SCREAMING_SNAKE_CASE :






    """simple docstring"""





    def __init__(  self      :					Tuple  ,						UpperCamelCase__      :					int ):


       """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  A       (  self      :					str  ,						UpperCamelCase__      :					int ):


       """simple docstring"""







       return idx * 2






    def  A       (  self      :					Dict  ,						UpperCamelCase__      :					int ):


       """simple docstring"""







       return idx * 2 + 1






    def  A       (  self      :					int  ,						UpperCamelCase__      :					int  ,						UpperCamelCase__      :					int  ,						UpperCamelCase__      :					int  ,						UpperCamelCase__      :					list[int] ):


       """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  A       (  self      :					Optional[int]  ,						UpperCamelCase__      :					int  ,						UpperCamelCase__      :					int  ,						UpperCamelCase__      :					int  ,						UpperCamelCase__      :					int  ,						UpperCamelCase__      :					int  ,						UpperCamelCase__      :					int ):


       """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  A       (  self      :					Optional[Any]  ,						UpperCamelCase__      :					int  ,						UpperCamelCase__      :					int  ,						UpperCamelCase__      :					int  ,						UpperCamelCase__      :					int  ,						UpperCamelCase__      :					int ):


       """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      :					Dict ):


       """simple docstring"""







       return str([self.query(1  ,						1  ,						self.size  ,						UpperCamelCase__  ,						UpperCamelCase__ ) for i in range(1  ,						self.size + 1 )] )


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


_lowerCamelCase	:       List[Any]      	=	{
    "configuration_m2m_100": ["M2M_100_PRETRAINED_CONFIG_ARCHIVE_MAP", "M2M100Config", "M2M100OnnxConfig"],
    "tokenization_m2m_100": ["M2M100Tokenizer"],
}


try:
   if not is_torch_available():
      raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
   pass
else:
   _lowerCamelCase	:       int      	=	[
       "M2M_100_PRETRAINED_MODEL_ARCHIVE_LIST",
       "M2M100ForConditionalGeneration",
       "M2M100Model",
       "M2M100PreTrainedModel",
   ]


if TYPE_CHECKING:
   from .configuration_mam_aaa import M2M_100_PRETRAINED_CONFIG_ARCHIVE_MAP, MaMaaaConfig, MaMaaaOnnxConfig
   from .tokenization_mam_aaa import MaMaaaTokenizer

   try:
      if not is_torch_available():
         raise OptionalDependencyNotAvailable()
   except OptionalDependencyNotAvailable:
      pass
   else:
      from .modeling_mam_aaa import (
          M2M_100_PRETRAINED_MODEL_ARCHIVE_LIST,
          MaMaaaForConditionalGeneration,
          MaMaaaModel,
          MaMaaaPreTrainedModel,
      )


else:
   import sys

   _lowerCamelCase	:       Optional[int]      	=	_LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)

