
"""simple docstring"""







from __future__ import annotations

from sys import maxsize
from typing import Generic, TypeVar

_SCREAMING_SNAKE_CASE	       =      TypeVar("""T""")
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE )  ->     int:







							"""simple docstring"""


							return (position - 1) // 2
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE )  ->     int:







							"""simple docstring"""


							return (2 * position) + 1
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE )  ->     int:







							"""simple docstring"""


							return (2 * position) + 2







class 							__magic_name__     (		Generic[T]   ):





					def __init__(				self   :							List[str]    ):
												__snake_case     			=       []
												__snake_case     			=       {}
												__snake_case     			=       0





					def __len__(				self   :							Dict    ):
												return self.elements





					def __repr__(				self   :							Dict    ):
												return str(self.heap    )





					def 							lowerCAmelCase      (				self   :							Any    ):
												# Check if the priority queue is empty
												return self.elements == 0





					def 							lowerCAmelCase      (				self   :							List[Any]							,						snake_case_   :							T							,						snake_case_   :							int    ):
												# Add an element with given priority to the queue
												self.heap.append((elem, weight)    )
												__snake_case     			=       self.elements
												self.elements += 1
												self._bubble_up(snake_case_    )





					def 							lowerCAmelCase      (				self   :							str    ):
												# Remove and return the element with lowest weight (highest priority)
												if self.elements > 1:
																			self._swap_nodes(0							,						self.elements - 1    )
												__snake_case			,   __snake_case     			=       self.heap.pop()
												del self.position_map[elem]
												self.elements -= 1
												if self.elements > 0:
																			__snake_case			,   __snake_case     			=       self.heap[0]
																			self._bubble_down(snake_case_    )
												return elem





					def 							lowerCAmelCase      (				self   :							Optional[Any]							,						snake_case_   :							T							,						snake_case_   :							int    ):
												# Update the weight of the given key
												__snake_case     			=       self.position_map[elem]
												__snake_case     			=       (elem, weight)
												if position > 0:
																			__snake_case     			=       get_parent_position(snake_case_    )
																			__snake_case			,   __snake_case     			=       self.heap[parent_position]
																			if parent_weight > weight:
																										self._bubble_up(snake_case_    )
																			else:
																										self._bubble_down(snake_case_    )
												else:
																			self._bubble_down(snake_case_    )





					def 							lowerCAmelCase      (				self   :							Union[str, Any]							,						snake_case_   :							T    ):
												# Place a node at the proper position (upward movement) [to be used internally
												# only]
												__snake_case     			=       self.position_map[elem]
												if curr_pos == 0:
																			return None
												__snake_case     			=       get_parent_position(snake_case_    )
												__snake_case			,   __snake_case     			=       self.heap[curr_pos]
												__snake_case			,   __snake_case     			=       self.heap[parent_position]
												if parent_weight > weight:
																			self._swap_nodes(snake_case_							,						snake_case_    )
																			return self._bubble_up(snake_case_    )
												return None





					def 							lowerCAmelCase      (				self   :							Any							,						snake_case_   :							T    ):
												# Place a node at the proper position (downward movement) [to be used
												# internally only]
												__snake_case     			=       self.position_map[elem]
												__snake_case			,   __snake_case     			=       self.heap[curr_pos]
												__snake_case     			=       get_child_left_position(snake_case_    )
												__snake_case     			=       get_child_right_position(snake_case_    )
												if child_left_position < self.elements and child_right_position < self.elements:
																			__snake_case			,   __snake_case     			=       self.heap[child_left_position]
																			__snake_case			,   __snake_case     			=       self.heap[child_right_position]
																			if child_right_weight < child_left_weight and child_right_weight < weight:
																										self._swap_nodes(snake_case_							,						snake_case_    )
																										return self._bubble_down(snake_case_    )
												if child_left_position < self.elements:
																			__snake_case			,   __snake_case     			=       self.heap[child_left_position]
																			if child_left_weight < weight:
																										self._swap_nodes(snake_case_							,						snake_case_    )
																										return self._bubble_down(snake_case_    )
												else:
																			return None
												if child_right_position < self.elements:
																			__snake_case			,   __snake_case     			=       self.heap[child_right_position]
																			if child_right_weight < weight:
																										self._swap_nodes(snake_case_							,						snake_case_    )
																										return self._bubble_down(snake_case_    )
												return None





					def 							lowerCAmelCase      (				self   :							int							,						snake_case_   :							int							,						snake_case_   :							int    ):
												# Swap the nodes at the given positions
												__snake_case     			=       self.heap[nodea_pos][0]
												__snake_case     			=       self.heap[nodea_pos][0]
												__snake_case			,   __snake_case     			=       (
												    self.heap[nodea_pos],
												    self.heap[nodea_pos],
												)
												__snake_case     			=       nodea_pos
												__snake_case     			=       nodea_pos







class 							__magic_name__     (		Generic[T]   ):





					def __init__(				self   :							Optional[Any]    ):
												__snake_case     			=       {}
												__snake_case     			=       0





					def __repr__(				self   :							Optional[Any]    ):
												return str(self.connections    )





					def __len__(				self   :							Optional[Any]    ):
												return self.nodes





					def 							lowerCAmelCase      (				self   :							Dict							,						snake_case_   :							T    ):
												# Add a node in the graph if it is not in the graph
												if node not in self.connections:
																			__snake_case     			=       {}
																			self.nodes += 1





					def 							lowerCAmelCase      (				self   :							List[Any]							,						snake_case_   :							T							,						snake_case_   :							T							,						snake_case_   :							int    ):
												# Add an edge between 2 nodes in the graph
												self.add_node(snake_case_    )
												self.add_node(snake_case_    )
												__snake_case     			=       weight
												__snake_case     			=       weight




def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE							,    )  ->     tuple[dict[T, int], dict[T, T | None]]:







							"""simple docstring"""


							__snake_case     			=       {node: maxsize for node in graph.connections}
							__snake_case     			=       {node: None for node in graph.connections}

							__snake_case     			=       MinPriorityQueue()
							for node, weight in dist.items():
														priority_queue.push(SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )

							if priority_queue.is_empty():
														return dist, parent

							# initialization
							__snake_case     			=       priority_queue.extract_min()
							__snake_case     			=       0
							for neighbour in graph.connections[node]:
														if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
																					__snake_case     			=       dist[node] + graph.connections[node][neighbour]
																					priority_queue.update_key(SCREAMING_SNAKE_CASE							,    dist[neighbour] )
																					__snake_case     			=       node

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


"""simple docstring"""







def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE = 10							,    SCREAMING_SNAKE_CASE = 10_00							,    SCREAMING_SNAKE_CASE = True )  ->     int:







							"""simple docstring"""


							assert (
							    isinstance(SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )
							    and isinstance(SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )
							    and isinstance(SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )
							), "Invalid type of value(s) specified to function!"

							if min_val > max_val:
														raise ValueError("Invalid value for min_val or max_val (min_value < max_value)" )
							return min_val if option else max_val
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )  ->     int:







							"""simple docstring"""


							return int((number_a + number_a) / 2 )
def   __UpperCamelCase   (					SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )  ->     None:







							"""simple docstring"""


							assert (
							    isinstance(SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE ) and isinstance(SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE ) and isinstance(SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )
							), 'argument values must be type of "int"'

							if lower > higher:
														raise ValueError("argument value for lower and higher must be(lower > higher)" )

							if not lower < to_guess < higher:
														raise ValueError(
														    "guess value must be within the range of lower and higher value" )

							def answer(SCREAMING_SNAKE_CASE ) -> str:
														if number > to_guess:
																					return "high"
														elif number < to_guess:
																					return "low"
														else:
																					return "same"

							print("started..." )

							__snake_case     			=       lower
							__snake_case     			=       higher

							__snake_case     			=       []

							while True:
														__snake_case     			=       get_avg(SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )
														last_numbers.append(SCREAMING_SNAKE_CASE )

														if answer(SCREAMING_SNAKE_CASE ) == "low":
																					__snake_case     			=       number
														elif answer(SCREAMING_SNAKE_CASE ) == "high":
																					__snake_case     			=       number
														else:
																					break

							print(F'''guess the number : {last_numbers[-1]}''' )
							print(F'''details : {last_numbers!s}''' )
def   __UpperCamelCase   (					)  ->     None:







							"""simple docstring"""


							__snake_case     			=       int(input("Enter lower value : " ).strip() )
							__snake_case     			=       int(input("Enter high value : " ).strip() )
							__snake_case     			=       int(input("Enter value to guess : " ).strip() )
							guess_the_number(SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE							,    SCREAMING_SNAKE_CASE )


if __name__ == "__main__":
		main()
