





from __future__ import annotations

from collections.abc import Sequence
from typing import Literal





def     _UpperCamelCase     (a__   :str   ,			a__   :str       ):






							"""simple docstring"""





							UpperCamelCase__				     =			list(a__       )
							UpperCamelCase__				     =			list(a__       )
							UpperCamelCase__				     =			0
							for i in range(len(a__       )       ):
														if lista[i] != lista[i]:
																					count += 1
																					UpperCamelCase__				     =			"""_"""
							if count > 1:
														return False
							else:
														return "".join(a__       )





def     _UpperCamelCase     (a__   :list[str]       ):






							"""simple docstring"""





							UpperCamelCase__				     =			[]
							while True:
														UpperCamelCase__				     =			["""$"""] * len(a__       )
														UpperCamelCase__				     =			[]
														for i in range(len(a__       )       ):
																					for j in range(i + 1   ,			len(a__       )       ):
																												UpperCamelCase__				     =			compare_string(binary[i]   ,			binary[j]       )
																												if k is False:
																																			UpperCamelCase__				     =			"""*"""
																																			UpperCamelCase__				     =			"""*"""
																																			temp.append("""X"""       )
														for i in range(len(a__       )       ):
																					if checka[i] == "$":
																												pi.append(binary[i]       )
														if len(a__       ) == 0:
																					return pi
														UpperCamelCase__				     =			list(set(a__       )       )





def     _UpperCamelCase     (a__   :int   ,			a__   :Sequence[float]       ):






							"""simple docstring"""





							UpperCamelCase__				     =			[]
							for minterm in minterms:
														UpperCamelCase__				     =			""""""
														for _ in range(a__       ):
																					UpperCamelCase__				     =			str(minterm % 2       ) + string
																					minterm //= 2
														temp.append(a__       )
							return temp





def     _UpperCamelCase     (a__   :str   ,			a__   :str   ,			a__   :int       ):






							"""simple docstring"""





							UpperCamelCase__				     =			list(a__       )
							UpperCamelCase__				     =			list(a__       )
							UpperCamelCase__				     =			0
							for i in range(len(a__       )       ):
														if lista[i] != lista[i]:
																					count_n += 1
							return count_n == count





def     _UpperCamelCase     (a__   :list[list[int]]   ,			a__   :list[str]       ):






							"""simple docstring"""





							UpperCamelCase__				     =			[]
							UpperCamelCase__				     =			[0] * len(a__       )
							for i in range(len(chart[0]       )       ):
														UpperCamelCase__				     =			0
														UpperCamelCase__				     =			-1
														for j in range(len(a__       )       ):
																					if chart[j][i] == 1:
																												count += 1
																												UpperCamelCase__				     =			j
														if count == 1:
																					UpperCamelCase__				     =			1
							for i in range(len(a__       )       ):
														if select[i] == 1:
																					for j in range(len(chart[0]       )       ):
																												if chart[i][j] == 1:
																																			for k in range(len(a__       )       ):
																																										UpperCamelCase__				     =			0
																					temp.append(prime_implicants[i]       )
							while True:
														UpperCamelCase__				     =			0
														UpperCamelCase__				     =			-1
														UpperCamelCase__				     =			0
														for i in range(len(a__       )       ):
																					UpperCamelCase__				     =			chart[i].count(1       )
																					if count_n > max_n:
																												UpperCamelCase__				     =			count_n
																												UpperCamelCase__				     =			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(a__       )       ):
																																			UpperCamelCase__				     =			0





def     _UpperCamelCase     (a__   :list[str]   ,			a__   :list[str]       ):






							"""simple docstring"""





							UpperCamelCase__				     =			[[0 for x in range(len(a__       )       )] for x in range(len(a__       )       )]
							for i in range(len(a__       )       ):
														UpperCamelCase__				     =			prime_implicants[i].count("""_"""       )
														for j in range(len(a__       )       ):
																					if is_for_table(prime_implicants[i]   ,			binary[j]   ,			a__       ):
																												UpperCamelCase__				     =			1

							return chart





def     _UpperCamelCase     ():






							"""simple docstring"""





							UpperCamelCase__				     =			int(input("""Enter the no. of variables\n"""       )       )
							UpperCamelCase__				     =			[
							    float(a__       )
							    for x in input(
							        """Enter the decimal representation of Minterms 'Spaces Separated'\n"""       ).split()
							]
							UpperCamelCase__				     =			decimal_to_binary(a__   ,			a__       )

							UpperCamelCase__				     =			check(a__       )
							print("""Prime Implicants are:"""       )
							print(a__       )
							UpperCamelCase__				     =			prime_implicant_chart(a__   ,			a__       )

							UpperCamelCase__				     =			selection(a__   ,			a__       )
							print("""Essential Prime Implicants are:"""       )
							print(a__       )


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					main()











import unittest

from transformers import AutoConfig, AutoTokenizer, BertConfig, TensorType, is_flax_available
from transformers.testing_utils import DUMMY_UNKNOWN_IDENTIFIER, require_flax, slow


if is_flax_available():
					import jax

					from transformers.models.auto.modeling_flax_auto import FlaxAutoModel
					from transformers.models.bert.modeling_flax_bert import FlaxBertModel
					from transformers.models.roberta.modeling_flax_roberta import FlaxRobertaModel

@require_flax
class        __SCREAMING_SNAKE_CASE					(     unittest.TestCase       ):






							@slow
							def 				_lowerCamelCase		(						self  ):
														for model_name in ["bert-base-cased", "bert-large-uncased"]:
																					with self.subTest(__lowerCAmelCase  ):
																												UpperCamelCase__				     =			AutoConfig.from_pretrained(__lowerCAmelCase  )
																												self.assertIsNotNone(__lowerCAmelCase  )
																												self.assertIsInstance(__lowerCAmelCase  , __lowerCAmelCase  )

																												UpperCamelCase__				     =			FlaxAutoModel.from_pretrained(__lowerCAmelCase  )
																												self.assertIsNotNone(__lowerCAmelCase  )
																												self.assertIsInstance(__lowerCAmelCase  , __lowerCAmelCase  )






							@slow
							def 				_lowerCamelCase		(						self  ):
														for model_name in ["roberta-base", "roberta-large"]:
																					with self.subTest(__lowerCAmelCase  ):
																												UpperCamelCase__				     =			AutoConfig.from_pretrained(__lowerCAmelCase  )
																												self.assertIsNotNone(__lowerCAmelCase  )
																												self.assertIsInstance(__lowerCAmelCase  , __lowerCAmelCase  )

																												UpperCamelCase__				     =			FlaxAutoModel.from_pretrained(__lowerCAmelCase  )
																												self.assertIsNotNone(__lowerCAmelCase  )
																												self.assertIsInstance(__lowerCAmelCase  , __lowerCAmelCase  )






							@slow
							def 				_lowerCamelCase		(						self  ):
														for model_name in ["bert-base-cased", "bert-large-uncased"]:
																					UpperCamelCase__				     =			AutoTokenizer.from_pretrained(__lowerCAmelCase  )
																					UpperCamelCase__				     =			FlaxBertModel.from_pretrained(__lowerCAmelCase  )
																					UpperCamelCase__				     =			tokenizer("""Do you support jax jitted function?"""  , return_tensors=TensorType.JAX  )

																					@jax.jit
																					def eval(**__lowerCAmelCase  ):
																												return model(**__lowerCAmelCase  )

																					eval(**__lowerCAmelCase  ).block_until_ready()






							@slow
							def 				_lowerCamelCase		(						self  ):
														for model_name in ["roberta-base", "roberta-large"]:
																					UpperCamelCase__				     =			AutoTokenizer.from_pretrained(__lowerCAmelCase  )
																					UpperCamelCase__				     =			FlaxRobertaModel.from_pretrained(__lowerCAmelCase  )
																					UpperCamelCase__				     =			tokenizer("""Do you support jax jitted function?"""  , return_tensors=TensorType.JAX  )

																					@jax.jit
																					def eval(**__lowerCAmelCase  ):
																												return model(**__lowerCAmelCase  )

																					eval(**__lowerCAmelCase  ).block_until_ready()






							def 				_lowerCamelCase		(						self  ):
														with self.assertRaisesRegex(
														    __lowerCAmelCase  , """bert-base is not a local folder and is not a valid model identifier"""  ):
																					UpperCamelCase__				     =			FlaxAutoModel.from_pretrained("""bert-base"""  )






							def 				_lowerCamelCase		(						self  ):
														with self.assertRaisesRegex(
														    __lowerCAmelCase  , r"""aaaaaa is not a valid git identifier \(branch name, tag name or commit id\)"""  ):
																					UpperCamelCase__				     =			FlaxAutoModel.from_pretrained(__lowerCAmelCase  , revision="""aaaaaa"""  )






							def 				_lowerCamelCase		(						self  ):
														with self.assertRaisesRegex(
														    __lowerCAmelCase  , """hf-internal-testing/config-no-model does not appear to have a file named flax_model.msgpack"""  , ):
																					UpperCamelCase__				     =			FlaxAutoModel.from_pretrained("""hf-internal-testing/config-no-model"""  )







							def 				_lowerCamelCase		(						self  ):
														with self.assertRaisesRegex(__lowerCAmelCase  , """Use `from_pt=True` to load this model"""  ):
																					UpperCamelCase__				     =			FlaxAutoModel.from_pretrained("""hf-internal-testing/tiny-bert-pt-only"""  )




