from __future__ import annotations

import time

import numpy as np

UpperCAmelCase_								=							[8, 5, 9, 7]
UpperCAmelCase_								=							[
    [2, 0, 1, 1],
    [0, 1, 2, 1],
    [4, 0, 0, 3],
    [0, 2, 1, 0],
    [1, 0, 3, 0],
]
UpperCAmelCase_								=							[
    [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				,      lowerCAmelCase__				,      lowerCAmelCase__				,      lowerCAmelCase__				,      ):
            _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(lowerCAmelCase__       )       )
                for i, allocated_resource in enumerate(self.__allocated_resources_table       )
            ]



     def 			a__  (					self       ):
            return {self.__need().index(lowerCAmelCase__       ): i for i in self.__need()}



     def 			a__  (					self				,      **lowerCAmelCase__       ):
            _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(lowerCAmelCase__       ):
                                 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(lowerCAmelCase__       )
                                 # update available/freed resources stack
                                 _A=	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 			a__  (					self       ):
            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()
def 							UpperCamelCase				(    )		->						list[list[int]]:




       '''simple docstring'''






       return [list(range(10_00 - i       ,					-10_00 - i       ,					-1   )   ) for i in range(10_00   )]


UpperCAmelCase_								=							generate_large_matrix()
UpperCAmelCase_								=							(
    [[4, 3, 2, -1], [3, 2, 1, -1], [1, 1, -1, -2], [-1, -1, -2, -3]],
    [[3, 2], [1, 0]],
    [[7, 7, 6]],
    [[7, 7, 6], [-1, -2, -3]],
    grid,
)

def 							UpperCamelCase				(    lowerCAmelCase_   )		->						None:




       '''simple docstring'''






       assert all(row == sorted(lowerCAmelCase_       ,					reverse=lowerCAmelCase_   ) for row in grid   )
       assert all(list(lowerCAmelCase_   ) == sorted(lowerCAmelCase_       ,					reverse=lowerCAmelCase_   ) for col in zip(*lowerCAmelCase_   )   )

def 							UpperCamelCase				(    lowerCAmelCase_   )		->						int:




       '''simple docstring'''






       _A=	0
       _A=	len(lowerCAmelCase_   ) - 1

       # Edge cases such as no values or all numbers are negative.
       if not array or array[0] < 0:
              return 0

       while right + 1 > left:
              _A=	(left + right) // 2
              _A=	array[mid]

              # Num must be negative and the index must be greater than or equal to 0.
              if num < 0 and array[mid - 1] >= 0:
                     return mid

              if num >= 0:
                     _A=	mid + 1
              else:
                     _A=	mid - 1
    # No negative numbers so return the last index of the array + 1 which is the length.
       return len(lowerCAmelCase_   )

def 							UpperCamelCase				(    lowerCAmelCase_   )		->						int:




       '''simple docstring'''






       _A=	0
       _A=	len(grid[0]   )

       for i in range(len(lowerCAmelCase_   )   ):
              _A=	find_negative_index(grid[i][:bound]   )
              total += bound
       return (len(lowerCAmelCase_   ) * len(grid[0]   )) - total

def 							UpperCamelCase				(    lowerCAmelCase_   )		->						int:




       '''simple docstring'''






       return len([number for row in grid for number in row if number < 0]   )

def 							UpperCamelCase				(    lowerCAmelCase_   )		->						int:




       '''simple docstring'''






       _A=	0
       for row in grid:
              for i, number in enumerate(lowerCAmelCase_   ):
                     if number < 0:
                            total += len(lowerCAmelCase_   ) - i
                            break
       return total

def 							UpperCamelCase				(    )		->						None:




       '''simple docstring'''






       from timeit import timeit

       print('Running benchmarks'   )
       _A=	(
           'from __main__ import count_negatives_binary_search, '
           'count_negatives_brute_force, count_negatives_brute_force_with_break, grid'
       )
       for func in (
           "count_negatives_binary_search",  # took 0.7727 seconds
           "count_negatives_brute_force_with_break",  # took 4.6505 seconds
           "count_negatives_brute_force",  # took 12.8160 seconds
       ):
              _A=	timeit(F"{func}(grid=grid)"       ,					setup=lowerCAmelCase_       ,					number=5_00   )
              print(F"{func}() took {time:0.4f} seconds"   )


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      benchmark()