




from __future__ import annotations

import time

import numpy as np

__A        =    [8, 5, 9, 7]
__A        =    [
    [2, 0, 1, 1],
    [0, 1, 2, 1],
    [4, 0, 0, 3],
    [0, 2, 1, 0],
    [1, 0, 3, 0],
]
__A        =    [
    [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			,						lowerCamelCase__			,						lowerCamelCase__			,						lowerCamelCase__			,						)    ->      None:



							'''simple docstring'''
							__lowerCamelCase		       =    claim_vector
							__lowerCamelCase		       =    allocated_resources_table
							__lowerCamelCase		       =    maximum_claim_table


			def       lowercase_    (      self							)    ->      list[int]:



							'''simple docstring'''
							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							)    ->      list[int]:



							'''simple docstring'''
							return np.array(self.__claim_vector							) - np.array(
							    self.__processes_resource_summation()							)


			def       lowercase_    (      self							)    ->      list[list[int]]:



							'''simple docstring'''
							return [
							    list(np.array(self.__maximum_claim_table[i]							) - np.array(lowerCamelCase__							)							)
							    for i, allocated_resource in enumerate(self.__allocated_resources_table							)
							]


			def       lowercase_    (      self							)    ->      dict[int, list[int]]:



							'''simple docstring'''
							return {self.__need().index(lowerCamelCase__							): i for i in self.__need()}


			def       lowercase_    (      self			,						**lowerCamelCase__							)    ->      None:



							'''simple docstring'''
							__lowerCamelCase		       =    self.__need()
							__lowerCamelCase		       =    self.__allocated_resources_table
							__lowerCamelCase		       =    self.__available_resources()
							__lowerCamelCase		       =    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		       =    False
											for each_need in need_list:
															__lowerCamelCase		       =    True
															for index, need in enumerate(lowerCamelCase__							):
																			if need > available_resources[index]:
																							__lowerCamelCase		       =    False
																							break
															if execution:
																			__lowerCamelCase		       =    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		       =    original_need_index
																			print(f"""Process {process_number + 1} is executing."""							)
																			# remove the process run from stack
																			need_list.remove(lowerCamelCase__							)
																			# update available/freed resources stack
																			__lowerCamelCase		       =    np.array(lowerCamelCase__							) + np.array(
																			    alloc_resources_table[process_number]							)
																			print(
																			    'Updated available resource stack for processes: '
																			    + ' '.join([str(lowerCamelCase__							) 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							)    ->      List[Any]:



							'''simple docstring'''
							print(' ' * 9 + 'Allocated Resource Table'							)
							for item in self.__allocated_resources_table:
											print(
											    f"""P{self.__allocated_resources_table.index(lowerCamelCase__							) + 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(lowerCamelCase__							) + 1}"""
											    + ' '.join(f"""{it:>8}""" for it in item							)
											    + '\n'							)
							print(
							    'Current Usage by Active Processes: '
							    + ' '.join(str(lowerCamelCase__							) for x in self.__claim_vector							)							)
							print(
							    'Initial Available Resources:       '
							    + ' '.join(str(lowerCamelCase__							) for x in self.__available_resources()							)							)
							time.sleep(1							)


if __name__ == "__main__":
					import doctest

					doctest.testmod()








from math import sqrt

def      A      (      _SCREAMING_SNAKE_CASE = 100_0000    )	-> int:
       lowerCamelCase   :      int			 =					0
       lowerCamelCase   :      int			 =					0
       lowerCamelCase   :      int

       while num_cuboids <= limit:
              max_cuboid_size += 1
              for sum_shortest_sides in range(2 ,2 * max_cuboid_size + 1    ):
                     if sqrt(sum_shortest_sides**2 + max_cuboid_size**2    ).is_integer():
                            num_cuboids += (
                                min(_SCREAMING_SNAKE_CASE ,sum_shortest_sides // 2    )
                                - max(1 ,sum_shortest_sides - max_cuboid_size    )
                                + 1
                            )

       return max_cuboid_size


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






