






from __future__ import annotations

import time

import numpy as np

snake_case    :						Dict  =						[8, 5, 9, 7]
snake_case    :						Tuple  =						[
    [2, 0, 1, 1],
    [0, 1, 2, 1],
    [4, 0, 0, 3],
    [0, 2, 1, 0],
    [1, 0, 3, 0],
]
snake_case    :						Dict  =						[
    [3, 2, 1, 4],
    [0, 2, 5, 2],
    [5, 1, 0, 5],
    [1, 5, 3, 0],
    [3, 0, 3, 3],
]




class 							lowerCAmelCase__  :







					def __init__(       self      :     List[str]			,		_A      :     list[int]			,		_A      :     list[list[int]]			,		_A      :     list[list[int]]			,		):
											A__	:							List[Any]						    = claim_vector
											A__	:							int						    = allocated_resources_table
											A__	:							Dict						    = maximum_claim_table







					def  _lowercase			(       self      :     Tuple):
											return [
											    sum(p_item[i] for p_item in self.__allocated_resources_table)
											    for i in range(len(self.__allocated_resources_table[0]))
											]







					def  _lowercase			(       self      :     int):
											return np.array(self.__claim_vector) - np.array(
											    self.__processes_resource_summation())







					def  _lowercase			(       self      :     Dict):
											return [
											    list(np.array(self.__maximum_claim_table[i]) - np.array(_a))
											    for i, allocated_resource in enumerate(self.__allocated_resources_table)
											]







					def  _lowercase			(       self      :     Optional[int]):
											return {self.__need().index(_a): i for i in self.__need()}







					def  _lowercase			(       self      :     Optional[int]			,		**_A      :     int):
											A__	:							Dict						    = self.__need()
											A__	:							List[str]						    = self.__allocated_resources_table
											A__	:							Optional[Any]						    = self.__available_resources()
											A__	:							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:
																	A__	:							List[str]						    = False
																	for each_need in need_list:
																							A__	:							Tuple						    = True
																							for index, need in enumerate(_a):
																													if need > available_resources[index]:
																																			A__	:							Optional[Any]						    = False
																																			break
																							if execution:
																													A__	:							Optional[Any]						    = 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:
																																									A__	:							List[Any]						    = 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
																													A__	:							Optional[Any]						    = 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  _lowercase			(       self      :     Dict):
											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()




from collections.abc import Callable

import numpy as np
def 	snake_case__       (					__lowercase							,     __lowercase							,     __lowercase							,     __lowercase							,     __lowercase       )		->		np.array:







						"""simple docstring"""

						A__	:							Any						    = int(np.ceil((x_end - xa) / step_size       )       )
						A__	:							Union[str, Any]						    = np.zeros((n + 1,)       )
						A__	:							Any						    = ya
						A__	:							Union[str, Any]						    = xa

						for k in range(__lowercase       ):
												A__	:							Any						    = y[k] + step_size * ode_func(__lowercase							,     y[k]       )
												A__	:							Any						    = y[k] + (
												    (step_size / 2) * (ode_func(__lowercase							,     y[k]       ) + ode_func(x + step_size							,     __lowercase       ))
												)
												x += step_size

						return y


if __name__ == "__main__":
		import doctest

		doctest.testmod()