



from collections.abc import Callable
from math import pi, sqrt
from random import uniform
from statistics import mean


def 				snake_case_  (      _lowerCAmelCase						:		Tuple						)   ->     int:

							# A local function to see if a dot lands in the circle.
							def is_in_circle(_lowerCAmelCase						:		Dict     ,   _lowerCAmelCase						:		Union[str, Any]						) -> bool:
														UpperCAmelCase				: Tuple											=	sqrt((x**2) + (y**2)						)
														# Our circle has a radius of 1, so a distance
														# greater than 1 would land outside the circle.
														return distance_from_centre <= 1

							# The proportion of guesses that landed in the circle
							UpperCAmelCase				: str											=	mean(
							    int(is_in_circle(uniform(-1.0     ,   1.0						)     ,   uniform(-1.0     ,   1.0						)						)						)
							    for _ in range(_SCREAMING_SNAKE_CASE						)						)
							# The ratio of the area for circle to square is pi/4.
							UpperCAmelCase				: Any											=	proportion * 4
							print(f"""The estimated value of pi is {pi_estimate}"""						)
							print(f"""The numpy value of pi is {pi}"""						)
							print(f"""The total error is {abs(pi - pi_estimate						)}"""						)


def 				snake_case_  (      _lowerCAmelCase						:		Optional[Any]     ,   _lowerCAmelCase						:		str     ,   _lowerCAmelCase						:		Union[str, Any] = 0.0     ,   _lowerCAmelCase						:		List[Any] = 1.0     ,   )   ->     float:
							return mean(
							    function_to_integrate(uniform(_SCREAMING_SNAKE_CASE     ,   _SCREAMING_SNAKE_CASE						)						) for _ in range(_SCREAMING_SNAKE_CASE						)						) * (max_value - min_value)


def 				snake_case_  (      _lowerCAmelCase						:		Optional[Any]     ,   _lowerCAmelCase						:		Tuple = 0.0     ,   _lowerCAmelCase						:		str = 1.0						)   ->     None:

							def identity_function(_lowerCAmelCase						:		Union[str, Any]						) -> float:
														return x

							UpperCAmelCase				: Dict											=	area_under_curve_estimator(
							    _SCREAMING_SNAKE_CASE     ,   _SCREAMING_SNAKE_CASE     ,   _SCREAMING_SNAKE_CASE     ,   _SCREAMING_SNAKE_CASE						)
							UpperCAmelCase				: Tuple											=	(max_value * max_value - min_value * min_value) / 2

							print('''******************'''						)
							print(f"""Estimating area under y=x where x varies from {min_value} to {max_value}"""						)
							print(f"""Estimated value is {estimated_value}"""						)
							print(f"""Expected value is {expected_value}"""						)
							print(f"""Total error is {abs(estimated_value - expected_value						)}"""						)
							print('''******************'''						)


def 				snake_case_  (      _lowerCAmelCase						:		Union[str, Any]						)   ->     None:

							def function_to_integrate(_lowerCAmelCase						:		List[str]						) -> float:
														return sqrt(4.0 - x * x						)

							UpperCAmelCase				: Optional[int]											=	area_under_curve_estimator(
							    _SCREAMING_SNAKE_CASE     ,   _SCREAMING_SNAKE_CASE     ,   0.0     ,   2.0						)

							print('''******************'''						)
							print('''Estimating pi using area_under_curve_estimator'''						)
							print(f"""Estimated value is {estimated_value}"""						)
							print(f"""Expected value is {pi}"""						)
							print(f"""Total error is {abs(estimated_value - pi						)}"""						)
							print('''******************'''						)


if __name__ == "__main__":
						import doctest

						doctest.testmod()










'''simple docstring'''






from __future__ import annotations

import time

import numpy as np

UpperCamelCase__:     Tuple										=    [8, 5, 9, 7]
UpperCamelCase__:     int										=    [
    [2, 0, 1, 1],
    [0, 1, 2, 1],
    [4, 0, 0, 3],
    [0, 2, 1, 0],
    [1, 0, 3, 0],
]
UpperCamelCase__:     List[str]										=    [
    [3, 2, 1, 4],
    [0, 2, 5, 2],
    [5, 1, 0, 5],
    [1, 5, 3, 0],
    [3, 0, 3, 3],
]

class        SCREAMING_SNAKE_CASE:







	"""simple docstring"""






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







	def   A			(		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   A			(		self    :  Union[str, Any]	)    ->	list[int]:
								return np.array(self.__claim_vector	) - np.array(
								    self.__processes_resource_summation()	)







	def   A			(		self    :  str	)    ->	list[list[int]]:
								return [
								    list(np.array(self.__maximum_claim_table[i]	) - np.array(__snake_case	)	)
								    for i, allocated_resource in enumerate(self.__allocated_resources_table	)
								]







	def   A			(		self    :  List[Any]	)    ->	dict[int, list[int]]:
								return {self.__need().index(__snake_case	): i for i in self.__need()}







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


if __name__ == "__main__":
						import doctest

						doctest.testmod()





