"""simple docstring"""
from collections.abc import Sequence
from queue import Queue




class    __snake_case       :



      def __init__(						self    ,			lowercase    ,			lowercase    ,			lowercase    ,			lowercase=None    ,			lowercase=None)	->			List[str]:





        '''simple docstring'''





        a__:     Any										=	start
        a__:     Tuple										=	end
        a__:     List[Any]										=	val
        a__:     Any										=	(start + end) // 2
        a__:     Tuple										=	left
        a__:     Tuple										=	right



      def __repr__(						self)	->			Optional[int]:





        '''simple docstring'''





        return f'SegmentTreeNode(start={self.start}, end={self.end}, val={self.val})'







class    __snake_case       :



      def __init__(						self    ,			lowercase    ,			lowercase)	->			Optional[Any]:





        '''simple docstring'''





        a__:     Optional[Any]										=	collection
        a__:     int										=	function
        if self.collection:
          a__:     Optional[Any]										=	self._build_tree(0    ,			len(lowercase) - 1)



      def   lowerCamelCase_   (						self    ,			lowercase    ,			lowercase)	->			int:





        '''simple docstring'''





        self._update_tree(self.root    ,			lowercase    ,			lowercase)



      def   lowerCamelCase_   (						self    ,			lowercase    ,			lowercase)	->			Any:





        '''simple docstring'''





        return self._query_range(self.root    ,			lowercase    ,			lowercase)



      def   lowerCamelCase_   (						self    ,			lowercase    ,			lowercase)	->			str:





        '''simple docstring'''





        if start == end:
          return SegmentTreeNode(lowercase    ,			lowercase    ,			self.collection[start])
        a__:     Any										=	(start + end) // 2
        a__:     List[Any]										=	self._build_tree(lowercase    ,			lowercase)
        a__:     int										=	self._build_tree(mid + 1    ,			lowercase)
        return SegmentTreeNode(lowercase    ,			lowercase    ,			self.fn(left.val    ,			right.val)    ,			lowercase    ,			lowercase)



      def   lowerCamelCase_   (						self    ,			lowercase    ,			lowercase    ,			lowercase)	->			Union[str, Any]:





        '''simple docstring'''





        if node.start == i and node.end == i:
          a__:     Optional[Any]										=	val
          return
        if i <= node.mid:
          self._update_tree(node.left    ,			lowercase    ,			lowercase)
        else:
          self._update_tree(node.right    ,			lowercase    ,			lowercase)
        a__:     str										=	self.fn(node.left.val    ,			node.right.val)



      def   lowerCamelCase_   (						self    ,			lowercase    ,			lowercase    ,			lowercase)	->			Tuple:





        '''simple docstring'''





        if node.start == i and node.end == j:
          return node.val

        if i <= node.mid:
          if j <= node.mid:
            # range in left child tree
            return self._query_range(node.left    ,			lowercase    ,			lowercase)
          else:
            # range in left child tree and right child tree
            return self.fn(
                self._query_range(node.left    ,			lowercase    ,			node.mid)    ,			self._query_range(node.right    ,			node.mid + 1    ,			lowercase)    ,			)
        else:
          # range in right child tree
          return self._query_range(node.right    ,			lowercase    ,			lowercase)



      def   lowerCamelCase_   (						self)	->			Any:





        '''simple docstring'''





        if self.root is not None:
          a__:     int										=	Queue()
          queue.put(self.root)
          while not queue.empty():
            a__:     int										=	queue.get()
            yield node

            if node.left is not None:
              queue.put(node.left)

            if node.right is not None:
              queue.put(node.right)


if __name__ == "__main__":
 import operator

 for fn in [operator.add, max, min]:
  print('*' * 50)
  lowercase__					       =	SegmentTree([2, 1, 5, 3, 4], fn)
  for node in arr.traverse():
   print(node)
  print()

  arr.update(1, 5)
  for node in arr.traverse():
   print(node)
  print()

  print(arr.query_range(3, 4))  # 7
  print(arr.query_range(2, 2))  # 5
  print(arr.query_range(1, 3))  # 13
  print()



"""simple docstring"""
from math import pow, sqrt







def 						__a   (	*_SCREAMING_SNAKE_CASE   )	->bool:
  a__:     Union[str, Any]										=	len(_SCREAMING_SNAKE_CASE   ) > 0 and all(value > 0.0 for value in values   )
  return result







def 						__a   (	_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )	->float | ValueError:
  return (
      round(sqrt(molar_mass_a / molar_mass_a   )		,     6   )
      if validate(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
      else ValueError('Input Error: Molar mass values must greater than 0.'   )
  )







def 						__a   (	_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )	->float | ValueError:
  return (
      round(effusion_rate * sqrt(molar_mass_a / molar_mass_a   )		,     6   )
      if validate(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
      else ValueError(
          'Input Error: Molar mass and effusion rate values must greater than 0.'   )
  )







def 						__a   (	_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )	->float | ValueError:
  return (
      round(effusion_rate / sqrt(molar_mass_a / molar_mass_a   )		,     6   )
      if validate(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
      else ValueError(
          'Input Error: Molar mass and effusion rate values must greater than 0.'   )
  )







def 						__a   (	_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )	->float | ValueError:
  return (
      round(molar_mass / pow(effusion_rate_a / effusion_rate_a		,     2   )		,     6   )
      if validate(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
      else ValueError(
          'Input Error: Molar mass and effusion rate values must greater than 0.'   )
  )







def 						__a   (	_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )	->float | ValueError:
  return (
      round(pow(effusion_rate_a / effusion_rate_a		,     2   ) / molar_mass		,     6   )
      if validate(_SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE		,     _SCREAMING_SNAKE_CASE   )
      else ValueError(
          'Input Error: Molar mass and effusion rate values must greater than 0.'   )
  )


