






'''simple docstring'''







from __future__ import annotations

import time

import numpy as np

__lowerCAmelCase									=   [8, 5, 9, 7]
__lowerCAmelCase									=   [
    [2, 0, 1, 1],
    [0, 1, 2, 1],
    [4, 0, 0, 3],
    [0, 2, 1, 0],
    [1, 0, 3, 0],
]
__lowerCAmelCase									=   [
    [3, 2, 1, 4],
    [0, 2, 5, 2],
    [5, 1, 0, 5],
    [1, 5, 3, 0],
    [3, 0, 3, 3],
]





class 						SCREAMING_SNAKE_CASE       :






			def __init__(			self   :      List[str]	,    __SCREAMING_SNAKE_CASE   :      list[int]	,    __SCREAMING_SNAKE_CASE   :      list[list[int]]	,    __SCREAMING_SNAKE_CASE   :      list[list[int]]	,    )      ->      None:
							a_		:	Union[str, Any]									=   claim_vector
							a_		:	Optional[Any]									=   allocated_resources_table
							a_		:	Tuple									=   maximum_claim_table






			def       SCREAMING_SNAKE_CASE   (			self   :      Optional[Any]       )      ->      list[int]:
							return [
							    sum(p_item[i] for p_item in self.__allocated_resources_table       )
							    for i in range(len(self.__allocated_resources_table[0]       )       )
							]






			def       SCREAMING_SNAKE_CASE   (			self   :      List[Any]       )      ->      list[int]:
							return np.array(self.__claim_vector       ) - np.array(
							    self.__processes_resource_summation()       )






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






			def       SCREAMING_SNAKE_CASE   (			self   :      Tuple       )      ->      dict[int, list[int]]:
							return {self.__need().index(__SCREAMING_SNAKE_CASE       ): i for i in self.__need()}






			def       SCREAMING_SNAKE_CASE   (			self   :      Union[str, Any]	,    **__SCREAMING_SNAKE_CASE   :      List[Any]       )      ->      None:
							a_		:	Union[str, Any]									=   self.__need()
							a_		:	str									=   self.__allocated_resources_table
							a_		:	Dict									=   self.__available_resources()
							a_		:	List[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_		:	int									=   False
											for each_need in need_list:
															a_		:	Dict									=   True
															for index, need in enumerate(__SCREAMING_SNAKE_CASE       ):
																			if need > available_resources[index]:
																							a_		:	Any									=   False
																							break
															if execution:
																			a_		:	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_		:	Any									=   original_need_index
																			print(f'Process {process_number + 1} is executing.'       )
																			# remove the process run from stack
																			need_list.remove(__SCREAMING_SNAKE_CASE       )
																			# update available/freed resources stack
																			a_		:	Dict									=   np.array(__SCREAMING_SNAKE_CASE       ) + np.array(
																			    alloc_resources_table[process_number]       )
																			print(
																			    '''Updated available resource stack for processes: '''
																			    + ''' '''.join([str(__SCREAMING_SNAKE_CASE       ) 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       SCREAMING_SNAKE_CASE   (			self   :      Optional[Any]       )      ->      int:
							print(''' ''' * 9 + '''Allocated Resource Table'''       )
							for item in self.__allocated_resources_table:
											print(
											    f'P{self.__allocated_resources_table.index(__SCREAMING_SNAKE_CASE       ) + 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(__SCREAMING_SNAKE_CASE       ) + 1}'
											    + ''' '''.join(f'{it:>8}' for it in item       )
											    + '''\n'''       )
							print(
							    '''Current Usage by Active Processes: '''
							    + ''' '''.join(str(__SCREAMING_SNAKE_CASE       ) for x in self.__claim_vector       )       )
							print(
							    '''Initial Available Resources:       '''
							    + ''' '''.join(str(__SCREAMING_SNAKE_CASE       ) for x in self.__available_resources()       )       )
							time.sleep(1       )


if __name__ == "__main__":
		import doctest

		doctest.testmod()












'''simple docstring'''







import math





def 		_UpperCAmelCase (				__A				: int   ):
				a_		:	str									=   []
				a_		:	Tuple									=   2
				a_		:	Optional[Any]									=   int(math.sqrt(__A   )   )  # Size of every segment
				a_		:	Optional[Any]									=   [True] * (end + 1)
				a_		:	Union[str, Any]									=   []

				while start <= end:
								if temp[start] is True:
												in_prime.append(__A   )
												for i in range(start * start    ,		end + 1    ,		__A   ):
																a_		:	List[Any]									=   False
								start += 1
				prime += in_prime

				a_		:	Any									=   end + 1
				a_		:	Optional[Any]									=   min(2 * end    ,		__A   )

				while low <= n:
								a_		:	Optional[Any]									=   [True] * (high - low + 1)
								for each in in_prime:
												a_		:	Any									=   math.floor(low / each   ) * each
												if t < low:
																t += each

												for j in range(__A    ,		high + 1    ,		__A   ):
																a_		:	Union[str, Any]									=   False

								for j in range(len(__A   )   ):
												if temp[j] is True:
																prime.append(j + low   )

								a_		:	Tuple									=   high + 1
								a_		:	str									=   min(high + end    ,		__A   )

				return prime




print(sieve(10**6))




