





from copy import deepcopy

class    _UpperCAmelCase							:

      '''simple docstring'''





      def __init__(		self      ,       a__ = None      ,       a__ = None       ):

         if arr is None and size is not None:
            A_     :				Dict			      =	size
            A_     :				str			      =	[0] * size
         elif arr is not None:
            self.init(UpperCAmelCase_       )
         else:
            raise ValueError("""Either arr or size must be specified"""       )
      def 		_lowerCamelCase      (		self      ,       a__       ):
         A_     :				Any			      =	len(UpperCAmelCase_       )
         A_     :				Dict			      =	deepcopy(UpperCAmelCase_       )
         for i in range(1      ,       self.size       ):
            A_     :				Any			      =	self.next_(UpperCAmelCase_       )
            if j < self.size:
               self.tree[j] += self.tree[i]
      def 		_lowerCamelCase      (		self       ):
         A_     :				str			      =	self.tree[:]
         for i in range(self.size - 1      ,       0      ,       -1       ):
            A_     :				Optional[int]			      =	self.next_(UpperCAmelCase_       )
            if j < self.size:
               arr[j] -= arr[i]
         return arr
      @staticmethod
      def 		_lowerCamelCase      (		a__       ):
         return index + (index & (-index))
      @staticmethod
      def 		_lowerCamelCase      (		a__       ):
         return index - (index & (-index))
      def 		_lowerCamelCase      (		self      ,       a__      ,       a__       ):
         if index == 0:
            self.tree[0] += value
            return
         while index < self.size:
            self.tree[index] += value
            A_     :				str			      =	self.next_(UpperCAmelCase_       )
      def 		_lowerCamelCase      (		self      ,       a__      ,       a__       ):
         self.add(UpperCAmelCase_      ,       value - self.get(UpperCAmelCase_       )       )
      def 		_lowerCamelCase      (		self      ,       a__       ):
         if right == 0:
            return 0
         A_     :				Optional[Any]			      =	self.tree[0]
         right -= 1  # make right inclusive
         while right > 0:
            result += self.tree[right]
            A_     :				str			      =	self.prev(UpperCAmelCase_       )
         return result
      def 		_lowerCamelCase      (		self      ,       a__      ,       a__       ):
         return self.prefix(UpperCAmelCase_       ) - self.prefix(UpperCAmelCase_       )
      def 		_lowerCamelCase      (		self      ,       a__       ):
         return self.query(UpperCAmelCase_      ,       index + 1       )






      def 		_lowerCamelCase      (		self      ,       a__       ):
         value -= self.tree[0]
         if value < 0:
            return -1

         A_     :				Union[str, Any]			      =	1  # Largest power of 2 <= size
         while j * 2 < self.size:
            j *= 2

         A_     :				Union[str, Any]			      =	0

         while j > 0:
            if i + j < self.size and self.tree[i + j] <= value:
               value -= self.tree[i + j]
               i += j
            j //= 2
         return i


if __name__ == "__main__":
      import doctest

      doctest.testmod()













from typing import List

from .keymap import KEYMAP, get_character



def     _lowerCAmelCase		(  _lowerCAmelCase     ):
   '''simple docstring'''


   def decorator(_lowerCAmelCase     ):
      A_     :				List[Any]			      =	getattr(_lowerCAmelCase  ,"""handle_key"""  ,[]     )
      handle += [key]
      setattr(_lowerCAmelCase  ,"""handle_key"""  ,_lowerCAmelCase     )
      return func

   return decorator



def     _lowerCAmelCase		(  *_lowerCAmelCase     ):
   '''simple docstring'''


   def decorator(_lowerCAmelCase     ):
      A_     :				Tuple			      =	getattr(_lowerCAmelCase  ,"""handle_key"""  ,[]     )
      handle += keys
      setattr(_lowerCAmelCase  ,"""handle_key"""  ,_lowerCAmelCase     )
      return func

   return decorator

class    _UpperCAmelCase							(		_lowerCamelCase     ):
      def __new__(		cls      ,       a__      ,       a__      ,       a__       ):
         A_     :				Any			      =	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():
            A_     :				Tuple			      =	getattr(a__      ,       """handle_key"""      ,       []       )
            for key in handled_keys:
               A_     :				Optional[Any]			      =	value
         return new_cls






      @staticmethod
      def 		_lowerCamelCase      (		cls       ):
         A_     :				List[str]			      =	get_character()
         if char != KEYMAP["undefined"]:
            A_     :				str			      =	ord(a__       )
         A_     :				List[str]			      =	cls.key_handler.get(a__       )
         if handler:
            A_     :				Optional[int]			      =	char
            return handler(cls       )
         else:
            return None






def     _lowerCAmelCase		(  cls     ):
   '''simple docstring'''


   return KeyHandler(cls.__name__  ,cls.__bases__  ,cls.__dict__.copy()     )






