



from __future__ import annotations

import time

import numpy as np

UpperCAmelCase_							:      Union[str, Any]      =  [8, 5, 9, 7]
UpperCAmelCase_							:      Optional[int]      =  [
    [2, 0, 1, 1],
    [0, 1, 2, 1],
    [4, 0, 0, 3],
    [0, 2, 1, 0],
    [1, 0, 3, 0],
]
UpperCAmelCase_							:      Optional[int]      =  [
    [3, 2, 1, 4],
    [0, 2, 5, 2],
    [5, 1, 0, 5],
    [1, 5, 3, 0],
    [3, 0, 3, 3],
]






class      UpperCamelCase    :



	def __init__(       self			,	UpperCAmelCase__			,	UpperCAmelCase__			,	UpperCAmelCase__			,	):
							A__							=       claim_vector
							A__							=       allocated_resources_table
							A__							=       maximum_claim_table



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



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



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



	def 			__A							(       self		):
							return {self.__need().index(UpperCAmelCase__		): i for i in self.__need()}



	def 			__A							(       self			,	**UpperCAmelCase__		):
							A__							=       self.__need()
							A__							=       self.__allocated_resources_table
							A__							=       self.__available_resources()
							A__							=       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__							=       False
													for each_need in need_list:
																			A__							=       True
																			for index, need in enumerate(UpperCAmelCase__		):
																									if need > available_resources[index]:
																															A__							=       False
																															break
																			if execution:
																									A__							=       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__							=       original_need_index
																									print(F"""Process {process_number + 1} is executing."""		)
																									# remove the process run from stack
																									need_list.remove(UpperCAmelCase__		)
																									# update available/freed resources stack
																									A__							=       np.array(UpperCAmelCase__		) + np.array(
																									    alloc_resources_table[process_number]		)
																									print(
																									    "Updated available resource stack for processes: "
																									    + " ".join([str(UpperCAmelCase__		) 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 			__A							(       self		):
							print(" " * 9 + "Allocated Resource Table"		)
							for item in self.__allocated_resources_table:
													print(
													    F"""P{self.__allocated_resources_table.index(UpperCAmelCase__		) + 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(UpperCAmelCase__		) + 1}"""
													    + " ".join(F"""{it:>8}""" for it in item		)
													    + "\n"		)
							print(
							    "Current Usage by Active Processes: "
							    + " ".join(str(UpperCAmelCase__		) for x in self.__claim_vector		)		)
							print(
							    "Initial Available Resources:       "
							    + " ".join(str(UpperCAmelCase__		) for x in self.__available_resources()		)		)
							time.sleep(1		)


if __name__ == "__main__":
						import doctest

						doctest.testmod()










import math
from collections.abc import Iterator
from itertools import takewhile
def  UpperCamelCase						(       _A			:				int    )->       bool:





						"""simple docstring"""





						if 1 < number < 4:
												# 2 and 3 are primes
												return True
						elif number < 2 or number % 2 == 0 or number % 3 == 0:
												# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
												return False

						# All primes number are in format of 6k +/- 1
						for i in range(5			,							int(math.sqrt(_A    ) + 1    )			,							6    ):
												if number % i == 0 or number % (i + 2) == 0:
																		return False
						return True
def  UpperCamelCase						(       )->       Iterator[int]:





						"""simple docstring"""





						A__							=       2
						while True:
												if is_prime(_A    ):
																		yield num
												num += 1
def  UpperCamelCase						(       _A			:				int = 2000000    )->       int:





						"""simple docstring"""





						return sum(takewhile(lambda _A    : x < n			,							prime_generator()    )    )


if __name__ == "__main__":
						print(F'''{solution() = }''')





