

from __future__ import annotations

from sys import maxsize
from typing import Generic, TypeVar

a		=TypeVar("""T""")






def        SCREAMING_SNAKE_CASE__	(  lowerCamelCase__      )  ->					List[str]:
 return (position - 1) // 2






def        SCREAMING_SNAKE_CASE__	(  lowerCamelCase__      )  ->					Optional[Any]:
 return (2 * position) + 1






def        SCREAMING_SNAKE_CASE__	(  lowerCamelCase__      )  ->					List[str]:
 return (2 * position) + 2






class 	A_		(	Generic[T]    ):
       def __init__(		self		:      Tuple):
        __lowerCamelCase    :    str 	=			[]
        __lowerCamelCase    :    List[str] 	=			{}
        __lowerCamelCase    :    Any 	=			0
       def __len__(		self		:      Tuple):
        return self.elements
       def __repr__(		self		:      List[str]):
        return str(self.heap)
       def    lowerCAmelCase					(		self		:      str):
        return self.elements == 0
       def    lowerCAmelCase					(		self		:      Any       ,SCREAMING_SNAKE_CASE__		:      Tuple       ,SCREAMING_SNAKE_CASE__		:      Dict):
        self.heap.append((elem, weight))
        __lowerCamelCase    :    List[str] 	=			self.elements
        self.elements += 1
        self._bubble_up(a__)
       def    lowerCAmelCase					(		self		:      Optional[int]):




        if self.elements > 1:
         self._swap_nodes(0       ,self.elements - 1)
        __lowerCamelCase	,			__lowerCamelCase    :    List[str] 	=			self.heap.pop()
        del self.position_map[elem]
        self.elements -= 1
        if self.elements > 0:
         __lowerCamelCase	,			__lowerCamelCase    :    Optional[Any] 	=			self.heap[0]
         self._bubble_down(a__)
        return elem
       def    lowerCAmelCase					(		self		:      Tuple       ,SCREAMING_SNAKE_CASE__		:      Tuple       ,SCREAMING_SNAKE_CASE__		:      Union[str, Any]):
        __lowerCamelCase    :    Dict 	=			self.position_map[elem]
        __lowerCamelCase    :    List[Any] 	=			(elem, weight)
        if position > 0:
         __lowerCamelCase    :    Tuple 	=			get_parent_position(a__)
         __lowerCamelCase	,			__lowerCamelCase    :    Tuple 	=			self.heap[parent_position]
         if parent_weight > weight:
          self._bubble_up(a__)
         else:
          self._bubble_down(a__)
        else:
         self._bubble_down(a__)
       def    lowerCAmelCase					(		self		:      Dict       ,SCREAMING_SNAKE_CASE__		:      List[str]):
        __lowerCamelCase    :    int 	=			self.position_map[elem]
        if curr_pos == 0:
         return None
        __lowerCamelCase    :    List[Any] 	=			get_parent_position(a__)
        __lowerCamelCase	,			__lowerCamelCase    :    str 	=			self.heap[curr_pos]
        __lowerCamelCase	,			__lowerCamelCase    :    Optional[Any] 	=			self.heap[parent_position]
        if parent_weight > weight:
         self._swap_nodes(a__       ,a__)
         return self._bubble_up(a__)
        return None
       def    lowerCAmelCase					(		self		:      List[Any]       ,SCREAMING_SNAKE_CASE__		:      Optional[int]):
        __lowerCamelCase    :    List[Any] 	=			self.position_map[elem]
        __lowerCamelCase	,			__lowerCamelCase    :    List[str] 	=			self.heap[curr_pos]
        __lowerCamelCase    :    Optional[int] 	=			get_child_left_position(a__)
        __lowerCamelCase    :    Any 	=			get_child_right_position(a__)
        if child_left_position < self.elements and child_right_position < self.elements:
         __lowerCamelCase	,			__lowerCamelCase    :    List[str] 	=			self.heap[child_left_position]
         __lowerCamelCase	,			__lowerCamelCase    :    List[Any] 	=			self.heap[child_right_position]
         if child_right_weight < child_left_weight and child_right_weight < weight:
          self._swap_nodes(a__       ,a__)
          return self._bubble_down(a__)
        if child_left_position < self.elements:
         __lowerCamelCase	,			__lowerCamelCase    :    List[Any] 	=			self.heap[child_left_position]
         if child_left_weight < weight:
          self._swap_nodes(a__       ,a__)
          return self._bubble_down(a__)
        else:
         return None
        if child_right_position < self.elements:
         __lowerCamelCase	,			__lowerCamelCase    :    List[Any] 	=			self.heap[child_right_position]
         if child_right_weight < weight:
          self._swap_nodes(a__       ,a__)
          return self._bubble_down(a__)
        return None


       def    lowerCAmelCase					(		self		:      Tuple       ,SCREAMING_SNAKE_CASE__		:      Dict       ,SCREAMING_SNAKE_CASE__		:      List[str]):
        __lowerCamelCase    :    List[str] 	=			self.heap[nodea_pos][0]
        __lowerCamelCase    :    Dict 	=			self.heap[nodea_pos][0]
        __lowerCamelCase	,			__lowerCamelCase    :    List[str] 	=			(
            self.heap[nodea_pos],
            self.heap[nodea_pos],
        )
        __lowerCamelCase    :    int 	=			nodea_pos
        __lowerCamelCase    :    str 	=			nodea_pos






class 	A_		(	Generic[T]    ):
       def __init__(		self		:      Optional[int]):
        __lowerCamelCase    :    Optional[Any] 	=			{}
        __lowerCamelCase    :    List[Any] 	=			0
       def __repr__(		self		:      Any):
        return str(self.connections)
       def __len__(		self		:      List[Any]):
        return self.nodes
       def    lowerCAmelCase					(		self		:      Optional[Any]       ,SCREAMING_SNAKE_CASE__		:      Any):




        if node not in self.connections:
         __lowerCamelCase    :    str 	=			{}
         self.nodes += 1


       def    lowerCAmelCase					(		self		:      Union[str, Any]       ,SCREAMING_SNAKE_CASE__		:      Tuple       ,SCREAMING_SNAKE_CASE__		:      int       ,SCREAMING_SNAKE_CASE__		:      List[str]):
        self.add_node(a__)
        self.add_node(a__)
        __lowerCamelCase    :    Any 	=			weight
        __lowerCamelCase    :    Union[str, Any] 	=			weight






def        SCREAMING_SNAKE_CASE__	(  lowerCamelCase__     ,			)  ->					List[str]:
 __lowerCamelCase    :    Union[str, Any] 	=			{node: maxsize for node in graph.connections}
 __lowerCamelCase    :    Optional[int] 	=			{node: None for node in graph.connections}

 __lowerCamelCase    :    int 	=			MinPriorityQueue()
 for node, weight in dist.items():
  priority_queue.push(lowerCamelCase__     ,			lowerCamelCase__      )

 if priority_queue.is_empty():
  return dist, parent

 # initialization
 __lowerCamelCase    :    List[str] 	=			priority_queue.extract_min()
 __lowerCamelCase    :    Tuple 	=			0
 for neighbour in graph.connections[node]:
  if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
   __lowerCamelCase    :    Optional[int] 	=			dist[node] + graph.connections[node][neighbour]
   priority_queue.update_key(lowerCamelCase__     ,			dist[neighbour]      )
   __lowerCamelCase    :    Optional[Any] 	=			node

    # running prim's algorithm
 while not priority_queue.is_empty():
  __lowerCamelCase    :    Tuple 	=			priority_queue.extract_min()
  for neighbour in graph.connections[node]:
   if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
    __lowerCamelCase    :    Tuple 	=			dist[node] + graph.connections[node][neighbour]
    priority_queue.update_key(lowerCamelCase__     ,			dist[neighbour]      )
    __lowerCamelCase    :    Union[str, Any] 	=			node
 return dist, parent







from __future__ import annotations






def        SCREAMING_SNAKE_CASE__	(  lowerCamelCase__     ,			lowerCamelCase__      )  ->					bool:
	if len(lowerCamelCase__      ) == 0:
		return False
	__lowerCamelCase    :    List[Any] 	=			len(lowerCamelCase__      ) // 2
	if a_list[midpoint] == item:
		return True
	if item < a_list[midpoint]:
		return binary_search(a_list[:midpoint]     ,			lowerCamelCase__      )
	else:
		return binary_search(a_list[midpoint + 1 :]     ,			lowerCamelCase__      )


if __name__ == "__main__":
					a		=input("""Enter numbers separated by comma:\n""").strip()
					a		=[int(item.strip()) for item in user_input.split(""",""")]
					a		=int(input("""Enter the number to be found in the list:\n""").strip())
					a		="""""" if binary_search(sequence, target) else """not """
					print(F"""{target} was {not_str}found in {sequence}""")




