




from __future__ import annotations

import bisect

def     _SCREAMING_SNAKE_CASE    (							lowercase			: list[int]			,							lowercase			: int			,							lowercase			: int = 0			,							lowercase			: int = -1  ):


      '''simple docstring'''



      if hi < 0:
            lowerCamelCase_	  =					len(lowercase  )

      while lo < hi:
            lowerCamelCase_	  =					lo + (hi - lo) // 2
            if sorted_collection[mid] < item:
                  lowerCamelCase_	  =					mid + 1
            else:
                  lowerCamelCase_	  =					mid

      return lo

def     _SCREAMING_SNAKE_CASE    (							lowercase			: list[int]			,							lowercase			: int			,							lowercase			: int = 0			,							lowercase			: int = -1  ):


      '''simple docstring'''



      if hi < 0:
            lowerCamelCase_	  =					len(lowercase  )

      while lo < hi:
            lowerCamelCase_	  =					lo + (hi - lo) // 2
            if sorted_collection[mid] <= item:
                  lowerCamelCase_	  =					mid + 1
            else:
                  lowerCamelCase_	  =					mid

      return lo

def     _SCREAMING_SNAKE_CASE    (							lowercase			: list[int]			,							lowercase			: int			,							lowercase			: int = 0			,							lowercase			: int = -1  ):


      '''simple docstring'''



      sorted_collection.insert(bisect_left(lowercase			,							lowercase			,							lowercase			,							lowercase  )			,							lowercase  )

def     _SCREAMING_SNAKE_CASE    (							lowercase			: list[int]			,							lowercase			: int			,							lowercase			: int = 0			,							lowercase			: int = -1  ):


      '''simple docstring'''



      sorted_collection.insert(bisect_right(lowercase			,							lowercase			,							lowercase			,							lowercase  )			,							lowercase  )

def     _SCREAMING_SNAKE_CASE    (							lowercase			: list[int]			,							lowercase			: int  ):


      '''simple docstring'''



      lowerCamelCase_	  =					0
      lowerCamelCase_	  =					len(lowercase  ) - 1

      while left <= right:
            lowerCamelCase_	  =					left + (right - left) // 2
            lowerCamelCase_	  =					sorted_collection[midpoint]
            if current_item == item:
                  return midpoint
            elif item < current_item:
                  lowerCamelCase_	  =					midpoint - 1
            else:
                  lowerCamelCase_	  =					midpoint + 1
      return None

def     _SCREAMING_SNAKE_CASE    (							lowercase			: list[int]			,							lowercase			: int  ):


      '''simple docstring'''



      lowerCamelCase_	  =					bisect.bisect_left(lowercase			,							lowercase  )
      if index != len(lowercase  ) and sorted_collection[index] == item:
            return index
      return None

def     _SCREAMING_SNAKE_CASE    (							lowercase			: list[int]			,							lowercase			: int			,							lowercase			: int			,							lowercase			: int  ):


      '''simple docstring'''



      if right < left:
            return None

      lowerCamelCase_	  =					left + (right - left) // 2

      if sorted_collection[midpoint] == item:
            return midpoint
      elif sorted_collection[midpoint] > item:
            return binary_search_by_recursion(lowercase			,							lowercase			,							lowercase			,							midpoint - 1  )
      else:
            return binary_search_by_recursion(lowercase			,							lowercase			,							midpoint + 1			,							lowercase  )


if __name__ == "__main__":
 lowerCamelCase       :	Dict									=     input("Enter numbers separated by comma:\n").strip()
 lowerCamelCase       :	Tuple									=     sorted(int(item) for item in user_input.split(","))
 lowerCamelCase       :	int									=     int(input("Enter a single number to be found in the list:\n"))
 lowerCamelCase       :	List[str]									=     binary_search(collection, target)
 if result is None:
  print(F"""{target} was not found in {collection}.""")
 else:
  print(F"""{target} was found at position {result} in {collection}.""")









lowerCamelCase       :	Dict									=     "Alexander Joslin"

import operator as op

from .stack import Stack

def     _SCREAMING_SNAKE_CASE    (							lowercase			: str  ):


      '''simple docstring'''



      lowerCamelCase_	  =					{'*': op.mul, '/': op.truediv, '+': op.add, '-': op.sub}

      lowerCamelCase_	  =					Stack()
      lowerCamelCase_	  =					Stack()

      for i in equation:
            if i.isdigit():
                  # RULE 1
                  operand_stack.push(int(lowercase  )  )
            elif i in operators:
                  # RULE 2
                  operator_stack.push(lowercase  )
            elif i == ")":
                  # RULE 4
                  lowerCamelCase_	  =					operator_stack.peek()
                  operator_stack.pop()
                  lowerCamelCase_	  =					operand_stack.peek()
                  operand_stack.pop()
                  lowerCamelCase_	  =					operand_stack.peek()
                  operand_stack.pop()

                  lowerCamelCase_	  =					operators[opr](lowercase			,							lowercase  )
                  operand_stack.push(lowercase  )

    # RULE 5
      return operand_stack.peek()


if __name__ == "__main__":
 lowerCamelCase       :	Any									=     "(5 + ((4 * 2) * (2 + 3)))"
 # answer = 45
 print(F"""{equation} = {dijkstras_two_stack_algorithm(equation)}""")



