from typing import List

from .keymap import KEYMAP, get_character
def 					_snake_case	(  __snake_case						):

					def decorator(__snake_case						):
										_UpperCamelCase			     =     getattr(__snake_case  ,     '''handle_key'''  ,     []						)
										handle += [key]
										setattr(__snake_case  ,     '''handle_key'''  ,     __snake_case						)
										return func

					return decorator
def 					_snake_case	(  *__snake_case						):

					def decorator(__snake_case						):
										_UpperCamelCase			     =     getattr(__snake_case  ,     '''handle_key'''  ,     []						)
										handle += keys
										setattr(__snake_case  ,     '''handle_key'''  ,     __snake_case						)
										return func

					return decorator
class     lowerCAmelCase_     (       __lowercase ):







							def __new__(   cls      :     Optional[Any] ,			_A      :     Optional[Any] ,			_A      :     Optional[int] ,			_A      :     Union[str, Any]		):
												_UpperCamelCase			     =     super().__new__(cls ,			_A ,			_A ,			_A		)
												if not hasattr(_A ,			'''key_handler'''		):
																	setattr(_A ,			'''key_handler''' ,			{}		)
												setattr(_A ,			'''handle_input''' ,			KeyHandler.handle_input		)

												for value in attrs.values():
																	_UpperCamelCase			     =     getattr(_A ,			'''handle_key''' ,			[]		)
																	for key in handled_keys:
																						_UpperCamelCase			     =     value
												return new_cls







							@staticmethod
							def  UpperCamelCase_						(   cls      :     str		):
												_UpperCamelCase			     =     get_character()
												if char != KEYMAP["undefined"]:
																	_UpperCamelCase			     =     ord(_A		)
												_UpperCamelCase			     =     cls.key_handler.get(_A		)
												if handler:
																	_UpperCamelCase			     =     char
																	return handler(cls		)
												else:
																	return None




def 					_snake_case	(  cls						):
					return KeyHandler(cls.__name__  ,     cls.__bases__  ,     cls.__dict__.copy()						)


from __future__ import annotations

from collections.abc import Callable
from typing import Any, Generic, TypeVar

__lowerCamelCase				=			TypeVar("""T""")






class     UpperCAmelCase						(		Generic[T]					):



   def __init__(self						:   int       ,		snake_case__						:   list[T]       ,		snake_case__						:   Callable[[T, T], T]					)						->      None:


          '''simple docstring'''


          snake_case			:  Any | T     							= None

          snake_case			:  int     							= len(snake_case__					)
          snake_case			:  list[T]     							= [any_type for _ in range(self.N					)] + arr
          snake_case			:  str     							= fnc
          self.build()



   def 							_SCREAMING_SNAKE_CASE  (self						:   Union[str, Any]					)						->      None:


          '''simple docstring'''


          for p in range(self.N - 1       ,		0       ,		-1					):
                 snake_case			:  int     							= self.fn(self.st[p * 2]       ,		self.st[p * 2 + 1]					)



   def 							_SCREAMING_SNAKE_CASE  (self						:   Dict       ,		snake_case__						:   int       ,		snake_case__						:   T					)						->      None:


          '''simple docstring'''


          p += self.N
          snake_case			:  int     							= v
          while p > 1:
                 snake_case			:  List[str]     							= p // 2
                 snake_case			:  Tuple     							= self.fn(self.st[p * 2]       ,		self.st[p * 2 + 1]					)



   def 							_SCREAMING_SNAKE_CASE  (self						:   Optional[Any]       ,		snake_case__						:   int       ,		snake_case__						:   int					)						->      T | None:  # noqa: E741


          '''simple docstring'''


          snake_case							,   snake_case			:  Optional[int]     							= l + self.N, r + self.N

          snake_case			:  T | None     							= None
          while l <= r:
                 if l % 2 == 1:
                        snake_case			:  List[str]     							= self.st[l] if res is None else self.fn(snake_case__       ,		self.st[l]					)
                 if r % 2 == 0:
                        snake_case			:  int     							= self.st[r] if res is None else self.fn(snake_case__       ,		self.st[r]					)
                 snake_case							,   snake_case			:  str     							= (l + 1) // 2, (r - 1) // 2
          return res


if __name__ == "__main__":
   from functools import reduce

   __lowerCamelCase				=			[1, 10, -2, 9, -3, 8, 4, -7, 5, 6, 11, -12]

   __lowerCamelCase				=			{
       0: 7,
       1: 2,
       2: 6,
       3: -14,
       4: 5,
       5: 4,
       6: 7,
       7: -10,
       8: 9,
       9: 10,
       10: 12,
       11: 1,
   }

   __lowerCamelCase				=			SegmentTree(test_array, min)
   __lowerCamelCase				=			SegmentTree(test_array, max)
   __lowerCamelCase				=			SegmentTree(test_array, lambda a, b: a + b)


   def      UpperCamelCase   (       ):
          for i in range(len(__lowerCamelCase       )       ):
                 for j in range(__lowerCamelCase							,   len(__lowerCamelCase       )       ):
                        snake_case			:  int     							= reduce(__lowerCamelCase							,   test_array[i : j + 1]       )
                        snake_case			:  Tuple     							= reduce(__lowerCamelCase							,   test_array[i : j + 1]       )
                        snake_case			:  Union[str, Any]     							= reduce(lambda __lowerCamelCase							,   __lowerCamelCase       : a + b							,   test_array[i : j + 1]       )
                        assert min_range == min_segment_tree.query(__lowerCamelCase							,   __lowerCamelCase       )
                        assert max_range == max_segment_tree.query(__lowerCamelCase							,   __lowerCamelCase       )
                        assert sum_range == sum_segment_tree.query(__lowerCamelCase							,   __lowerCamelCase       )

   test_all_segments()

   for index, value in test_updates.items():
      __lowerCamelCase				=			value
      min_segment_tree.update(index, value)
      max_segment_tree.update(index, value)
      sum_segment_tree.update(index, value)
      test_all_segments()





