



'''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 			lowerCAmelCase_:
  '''simple docstring'''




  def __init__(       self    ,__UpperCAmelCase    ,__UpperCAmelCase    ,__UpperCAmelCase    ,)       ->						None:
      lowerCAmelCase__					:    Union[str, Any]				 =   claim_vector
      lowerCAmelCase__					:    Optional[Any]				 =   allocated_resources_table
      lowerCAmelCase__					:    Tuple				 =   maximum_claim_table




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




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




  def 				UpperCAmelCase_      (       self    ,**__UpperCAmelCase )       ->						None:
      lowerCAmelCase__					:    Union[str, Any]				 =   self.__need()
      lowerCAmelCase__					:    str				 =   self.__allocated_resources_table
      lowerCAmelCase__					:    Dict				 =   self.__available_resources()
      lowerCAmelCase__					:    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:
          lowerCAmelCase__					:    int				 =   False
          for each_need in need_list:
              lowerCAmelCase__					:    Dict				 =   True
              for index, need in enumerate(__SCREAMING_SNAKE_CASE ):
                  if need > available_resources[index]:
                      lowerCAmelCase__					:    Any				 =   False
                      break
              if execution:
                  lowerCAmelCase__					:    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:
                          lowerCAmelCase__					:    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
                  lowerCAmelCase__					:    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 				UpperCAmelCase_      (       self )       ->						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))




