



from __future__ import annotations

from collections.abc import Sequence
from typing import Literal


def 				snake_case_  (      _lowerCAmelCase						:		str     ,   _lowerCAmelCase						:		str						)   ->     Optional[int]:
							UpperCAmelCase				: Optional[Any]											=	list(lowerCamelCase_						)
							UpperCAmelCase				: Union[str, Any]											=	list(lowerCamelCase_						)
							UpperCAmelCase				: Tuple											=	0
							for i in range(len(lowerCamelCase_						)						):
														if lista[i] != lista[i]:
																					count += 1
																					UpperCAmelCase				: Dict											=	'''_'''
							if count > 1:
														return False
							else:
														return "".join(lowerCamelCase_						)


def 				snake_case_  (      _lowerCAmelCase						:		list[str]						)   ->     int:
							UpperCAmelCase				: Union[str, Any]											=	[]
							while True:
														UpperCAmelCase				: Union[str, Any]											=	['''$'''] * len(lowerCamelCase_						)
														UpperCAmelCase				: Dict											=	[]
														for i in range(len(lowerCamelCase_						)						):
																					for j in range(i + 1     ,   len(lowerCamelCase_						)						):
																												UpperCAmelCase				: int											=	compare_string(binary[i]     ,   binary[j]						)
																												if k is False:
																																			UpperCAmelCase				: List[str]											=	'''*'''
																																			UpperCAmelCase				: int											=	'''*'''
																																			temp.append('''X'''						)
														for i in range(len(lowerCamelCase_						)						):
																					if checka[i] == "$":
																												pi.append(binary[i]						)
														if len(lowerCamelCase_						) == 0:
																					return pi
														UpperCAmelCase				: Optional[Any]											=	list(set(lowerCamelCase_						)						)


def 				snake_case_  (      _lowerCAmelCase						:		int     ,   _lowerCAmelCase						:		Sequence[float]						)   ->     Tuple:
							UpperCAmelCase				: Tuple											=	[]
							for minterm in minterms:
														UpperCAmelCase				: Dict											=	''''''
														for _ in range(lowerCamelCase_						):
																					UpperCAmelCase				: List[str]											=	str(minterm % 2						) + string
																					minterm //= 2
														temp.append(lowerCamelCase_						)
							return temp


def 				snake_case_  (      _lowerCAmelCase						:		str     ,   _lowerCAmelCase						:		str     ,   _lowerCAmelCase						:		int						)   ->     List[str]:
							UpperCAmelCase				: Optional[Any]											=	list(lowerCamelCase_						)
							UpperCAmelCase				: Optional[int]											=	list(lowerCamelCase_						)
							UpperCAmelCase				: Union[str, Any]											=	0
							for i in range(len(lowerCamelCase_						)						):
														if lista[i] != lista[i]:
																					count_n += 1
							return count_n == count


def 				snake_case_  (      _lowerCAmelCase						:		list[list[int]]     ,   _lowerCAmelCase						:		list[str]						)   ->     Tuple:
							UpperCAmelCase				: Tuple											=	[]
							UpperCAmelCase				: str											=	[0] * len(lowerCamelCase_						)
							for i in range(len(chart[0]						)						):
														UpperCAmelCase				: List[Any]											=	0
														UpperCAmelCase				: int											=	-1
														for j in range(len(lowerCamelCase_						)						):
																					if chart[j][i] == 1:
																												count += 1
																												UpperCAmelCase				: Optional[int]											=	j
														if count == 1:
																					UpperCAmelCase				: int											=	1
							for i in range(len(lowerCamelCase_						)						):
														if select[i] == 1:
																					for j in range(len(chart[0]						)						):
																												if chart[i][j] == 1:
																																			for k in range(len(lowerCamelCase_						)						):
																																										UpperCAmelCase				: int											=	0
																					temp.append(prime_implicants[i]						)
							while True:
														UpperCAmelCase				: str											=	0
														UpperCAmelCase				: Tuple											=	-1
														UpperCAmelCase				: Tuple											=	0
														for i in range(len(lowerCamelCase_						)						):
																					UpperCAmelCase				: List[Any]											=	chart[i].count(1						)
																					if count_n > max_n:
																												UpperCAmelCase				: Optional[int]											=	count_n
																												UpperCAmelCase				: int											=	i

														if max_n == 0:
																					return temp

														temp.append(prime_implicants[rem]						)

														for i in range(len(chart[0]						)						):
																					if chart[rem][i] == 1:
																												for j in range(len(lowerCamelCase_						)						):
																																			UpperCAmelCase				: int											=	0


def 				snake_case_  (      _lowerCAmelCase						:		list[str]     ,   _lowerCAmelCase						:		list[str]						)   ->     List[str]:
							UpperCAmelCase				: List[str]											=	[[0 for x in range(len(lowerCamelCase_						)						)] for x in range(len(lowerCamelCase_						)						)]
							for i in range(len(lowerCamelCase_						)						):
														UpperCAmelCase				: Any											=	prime_implicants[i].count('''_'''						)
														for j in range(len(lowerCamelCase_						)						):
																					if is_for_table(prime_implicants[i]     ,   binary[j]     ,   lowerCamelCase_						):
																												UpperCAmelCase				: Optional[Any]											=	1

							return chart


def 				snake_case_  (      )   ->     Any:
							UpperCAmelCase				: Union[str, Any]											=	int(input('''Enter the no. of variables\n'''						)						)
							UpperCAmelCase				: List[str]											=	[
							    float(lowerCamelCase_						)
							    for x in input(
							        '''Enter the decimal representation of Minterms \'Spaces Separated\'\n'''						).split()
							]
							UpperCAmelCase				: int											=	decimal_to_binary(lowerCamelCase_     ,   lowerCamelCase_						)

							UpperCAmelCase				: str											=	check(lowerCamelCase_						)
							print('''Prime Implicants are:'''						)
							print(lowerCamelCase_						)
							UpperCAmelCase				: int											=	prime_implicant_chart(lowerCamelCase_     ,   lowerCamelCase_						)

							UpperCAmelCase				: Optional[Any]											=	selection(lowerCamelCase_     ,   lowerCamelCase_						)
							print('''Essential Prime Implicants are:'''						)
							print(lowerCamelCase_						)


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						main()










'''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()





