


'''simple docstring'''

from __future__ import annotations

import time

import numpy as np

lowerCAmelCase				:str        =      [8, 5, 9, 7]
lowerCAmelCase				:Optional[int]        =      [
    [2, 0, 1, 1],
    [0, 1, 2, 1],
    [4, 0, 0, 3],
    [0, 2, 1, 0],
    [1, 0, 3, 0],
]
lowerCAmelCase				:Dict        =      [
    [3, 2, 1, 4],
    [0, 2, 5, 2],
    [5, 1, 0, 5],
    [1, 5, 3, 0],
    [3, 0, 3, 3],
]
class _lowerCamelCase	:



		'''simple docstring'''







		def __init__( self		:						List[Any]  ,					_A		:						list[int]  ,					_A		:						list[list[int]]  ,					_A		:						list[list[int]]  ,					)  ->			Optional[Any]:
			__magic_name__	:   Tuple					     =					claim_vector
			__magic_name__	:   List[Any]					     =					allocated_resources_table
			__magic_name__	:   Optional[int]					     =					maximum_claim_table







		def        __lowerCAmelCase		( self		:						Any      )  ->			Union[str, Any]:
			return [
			    sum(p_item[i] for p_item in self.__allocated_resources_table      )
			    for i in range(len(self.__allocated_resources_table[0]      )      )
			]







		def        __lowerCAmelCase		( self		:						Tuple      )  ->			Optional[int]:
			return np.array(self.__claim_vector      ) - np.array(
			    self.__processes_resource_summation()      )







		def        __lowerCAmelCase		( self		:						Dict      )  ->			int:
			return [
			    list(np.array(self.__maximum_claim_table[i]      ) - np.array(a_      )      )
			    for i, allocated_resource in enumerate(self.__allocated_resources_table      )
			]







		def        __lowerCAmelCase		( self		:						Optional[Any]      )  ->			Dict:
			return {self.__need().index(a_      ): i for i in self.__need()}







		def        __lowerCAmelCase		( self		:						List[str]  ,					**_A		:						Optional[int]      )  ->			int:
			__magic_name__	:   Tuple					     =					self.__need()
			__magic_name__	:   str					     =					self.__allocated_resources_table
			__magic_name__	:   Any					     =					self.__available_resources()
			__magic_name__	:   Optional[Any]					     =					self.__need_index_manager()
			for kw, val in kwargs.items():
				if kw and val is True:
					self.__pretty_data()
			print('_' * 50 + '\n'      )
			while need_list:
				__magic_name__	:   Tuple					     =					False
				for each_need in need_list:
					__magic_name__	:   Optional[int]					     =					True
					for index, need in enumerate(a_      ):
						if need > available_resources[index]:
							__magic_name__	:   List[str]					     =					False
							break
					if execution:
						__magic_name__	:   List[str]					     =					True
						# get the original index of the process from ind_ctrl db
						for original_need_index, need_clone in need_index_manager.items():
							if each_need == need_clone:
								__magic_name__	:   str					     =					original_need_index
						print(F'Process {process_number + 1} is executing.'      )
						# remove the process run from stack
						need_list.remove(a_      )
						# update available/freed resources stack
						__magic_name__	:   Optional[int]					     =					np.array(a_      ) + np.array(
						    alloc_resources_table[process_number]      )
						print(
						    'Updated available resource stack for processes: '
						    + ' '.join([str(a_      ) for x in available_resources]      )      )
						break
				if safe:
					print('The process is in a safe state.\n'      )
				else:
					print('System in unsafe state. Aborting...\n'      )
					break







		def        __lowerCAmelCase		( self		:						List[Any]      )  ->			List[Any]:
			print(' ' * 9 + 'Allocated Resource Table'      )
			for item in self.__allocated_resources_table:
				print(
				    F'P{self.__allocated_resources_table.index(a_      ) + 1}'
				    + ' '.join(F'{it:>8}' for it in item      )
				    + '\n'      )
			print(' ' * 9 + 'System Resource Table'      )
			for item in self.__maximum_claim_table:
				print(
				    F'P{self.__maximum_claim_table.index(a_      ) + 1}'
				    + ' '.join(F'{it:>8}' for it in item      )
				    + '\n'      )
			print(
			    'Current Usage by Active Processes: '
			    + ' '.join(str(a_      ) for x in self.__claim_vector      )      )
			print(
			    'Initial Available Resources:       '
			    + ' '.join(str(a_      ) for x in self.__available_resources()      )      )
			time.sleep(1      )


if __name__ == "__main__":
				import doctest

				doctest.testmod()



'''simple docstring'''

import math





def lowerCamelCase      (      lowerCAmelCase    :     float		,		lowerCAmelCase    :     float		):





	"""simple docstring"""







	return math.pow(lowerCAmelCase		,		2		) - a





def lowerCamelCase      (      lowerCAmelCase    :     float		):





	"""simple docstring"""







	return 2 * x





def lowerCamelCase      (      lowerCAmelCase    :     float		):





	"""simple docstring"""







	__magic_name__	:   List[Any]					     =					2.0

	while start <= a:
		__magic_name__	:   List[str]					     =					math.pow(lowerCAmelCase		,		2		)

	return start





def lowerCamelCase      (      lowerCAmelCase    :     float		,		lowerCAmelCase    :     int = 9999		,		lowerCAmelCase    :     float = 0.00_0000_0000_0001		):





	"""simple docstring"""







	if a < 0:
		raise ValueError('math domain error'		)

	__magic_name__	:   Any					     =					get_initial_point(lowerCAmelCase		)

	for _ in range(lowerCAmelCase		):
		__magic_name__	:   List[str]					     =					value
		__magic_name__	:   Optional[int]					     =					value - fx(lowerCAmelCase		,		lowerCAmelCase		) / fx_derivative(lowerCAmelCase		)
		if abs(prev_value - value		) < tolerance:
			return value

	return value


if __name__ == "__main__":
							from doctest import testmod

							testmod()