




from __future__ import annotations

import math
class 						_A :






  def __init__(  self		:     Any				,						_A		:     int				)		->   None:






       """simple docstring"""







       lowercase :       Optional[int]       =			size
       # approximate the overall size of segment tree with given value
       lowercase :       Dict       =			[0 for i in range(0				,						4 * size				)]
       # create array to store lazy update
       lowercase :       Optional[Any]       =			[0 for i in range(0				,						4 * size				)]
       lowercase :       str       =			[0 for i in range(0				,						4 * size				)]  # flag for lazy update






  def  __a      (  self		:     Union[str, Any]				,						_A		:     int				)		->   int:






       """simple docstring"""







       return idx * 2






  def  __a      (  self		:     Optional[Any]				,						_A		:     int				)		->   int:






       """simple docstring"""







       return idx * 2 + 1






  def  __a      (  self		:     Dict				,						_A		:     int				,						_A		:     int				,						_A		:     int				,						_A		:     list[int]				)		->   None:






       """simple docstring"""







       if left_element == right_element:
            lowercase :       List[Any]       =			a[left_element - 1]
       else:
            lowercase :       Optional[Any]       =			(left_element + right_element) // 2
            self.build(self.left(_A				)				,						_A				,						_A				,						_A				)
            self.build(self.right(_A				)				,						mid + 1				,						_A				,						_A				)
            lowercase :       int       =			max(
                self.segment_tree[self.left(_A				)]				,						self.segment_tree[self.right(_A				)]				)






  def  __a      (  self		:     Tuple				,						_A		:     int				,						_A		:     int				,						_A		:     int				,						_A		:     int				,						_A		:     int				,						_A		:     int				)		->   bool:






       """simple docstring"""







       if self.flag[idx] is True:
            lowercase :       str       =			self.lazy[idx]
            lowercase :       str       =			False
            if left_element != right_element:
                 lowercase :       Optional[Any]       =			self.lazy[idx]
                 lowercase :       int       =			self.lazy[idx]
                 lowercase :       Any       =			True
                 lowercase :       int       =			True

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






  def  __a      (  self		:     Any				,						_A		:     int				,						_A		:     int				,						_A		:     int				,						_A		:     int				,						_A		:     int				)		->   int | float:






       """simple docstring"""







       if self.flag[idx] is True:
            lowercase :       int       =			self.lazy[idx]
            lowercase :       Dict       =			False
            if left_element != right_element:
                 lowercase :       Dict       =			self.lazy[idx]
                 lowercase :       List[Any]       =			self.lazy[idx]
                 lowercase :       Tuple       =			True
                 lowercase :       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]
       lowercase :       Optional[int]       =			(left_element + right_element) // 2
       lowercase :       Tuple       =			self.query(self.left(_A				)				,						_A				,						_A				,						_A				,						_A				)
       lowercase :       Optional[Any]       =			self.query(self.right(_A				)				,						mid + 1				,						_A				,						_A				,						_A				)
       return max(_A				,						_A				)






  def __str__(  self		:     Optional[int]				)		->   str:






       """simple docstring"""







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


if __name__ == "__main__":
 lowerCAmelCase_						=			[1, 2, -4, 7, 3, -5, 6, 11, -20, 9, 14, 15, 5, 2, -8]
 lowerCAmelCase_						=			15
 lowerCAmelCase_						=			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, 1_11)
 print(segt.query(1, 1, size, 1, 15))
 segt.update(1, 1, size, 7, 8, 2_35)
 print(segt)





from typing import Union

import fire
import torch
from tqdm import tqdm






def  snake_case(    __magic_name__			,		__magic_name__ = "cpu"			,		__magic_name__ = None   )			->							None:





     '''simple docstring'''


     lowercase :       int       =			torch.load(__magic_name__			,		map_location=__magic_name__   )
     for k, v in tqdm(state_dict.items()   ):
          if not isinstance(__magic_name__			,		torch.Tensor   ):
               raise TypeError('''FP16 conversion only works on paths that are saved state dicts, like pytorch_model.bin'''   )
          lowercase :       Any       =			v.half()
     if save_path is None:  # overwrite src_path
          lowercase :       str       =			src_path
     torch.save(__magic_name__			,		__magic_name__   )


if __name__ == "__main__":
 fire.Fire(convert)