
"""simple docstring"""


from __future__ import annotations

import random
from collections.abc import Iterable







class 						lowerCamelCase__   :





			'''simple docstring'''



			def __init__(				self	,	__UpperCAmelCase    )					->	None:
				_lowerCAmelCase								={literal: None for literal in literals}



			def __str__(				self    )					->	str:
				return "{" + " , ".join(self.literals    ) + "}"



			def __len__(				self    )					->	int:
				return len(self.literals    )



			def    _lowerCAmelCase						(				self	,	__UpperCAmelCase    )					->	None:
				for literal in self.literals:
					_lowerCAmelCase								=literal[:2]
					if symbol in model:
						_lowerCAmelCase								=model[symbol]
					else:
						continue
					if value is not None:
						# Complement assignment if literal is in complemented form
						if literal.endswith("""'"""    ):
							_lowerCAmelCase								=not value
					_lowerCAmelCase								=value



			def    _lowerCAmelCase						(				self	,	__UpperCAmelCase    )					->	bool | None:
				for literal in self.literals:
					_lowerCAmelCase								=literal.rstrip("""'"""    ) if literal.endswith("""'"""    ) else literal + """'"""
					if symbol in self.literals:
						return True

				self.assign(__UpperCAmelCase    )
				for value in self.literals.values():
					if value in (True, None):
						return value
				return any(self.literals.values()    )







class 						lowerCamelCase__   :





			'''simple docstring'''



			def __init__(				self	,	__UpperCAmelCase    )					->	None:
				_lowerCAmelCase								=list(__UpperCAmelCase    )



			def __str__(				self    )					->	str:
				return "{" + " , ".join(str(__UpperCAmelCase    ) for clause in self.clauses    ) + "}"







def        _lowerCamelCase()							->					Clause:
	_lowerCAmelCase								=[]
	_lowerCAmelCase								=random.randint(1       ,					5			)
	_lowerCAmelCase								="""A"""
	_lowerCAmelCase								=0
	while i < no_of_literals:
		_lowerCAmelCase								=random.randint(1       ,					5			)
		_lowerCAmelCase								=base_var + str(__UpperCamelCase			)
		_lowerCAmelCase								=random.randint(0       ,					1			)
		if var_complement == 1:
			var_name += "'"
		if var_name in literals:
			i -= 1
		else:
			literals.append(__UpperCamelCase			)
		i += 1
	return Clause(__UpperCamelCase			)



def        _lowerCamelCase()							->					Formula:
	_lowerCAmelCase								=set()
	_lowerCAmelCase								=random.randint(1       ,					10			)
	while len(__UpperCamelCase			) < no_of_clauses:
		clauses.add(generate_clause()			)
	return Formula(__UpperCamelCase			)



def        _lowerCamelCase(__UpperCamelCase			)							->					tuple[list[Clause], list[str]]:
	_lowerCAmelCase								=formula.clauses
	_lowerCAmelCase								=[]
	for clause in formula.clauses:
		for literal in clause.literals:
			_lowerCAmelCase								=literal[:2]
			if symbol not in symbols_set:
				symbols_set.append(__UpperCamelCase			)
	return clauses, symbols_set



def        _lowerCamelCase(__UpperCamelCase       ,					__UpperCamelCase       ,					__UpperCamelCase			)							->					tuple[list[str], dict[str, bool | None]]:
	_lowerCAmelCase								=[]
	_lowerCAmelCase								={}
	_lowerCAmelCase								=[]

	for clause in clauses:
		if clause.evaluate(__UpperCamelCase			):
			continue
		for literal in clause.literals:
			literals.append(__UpperCamelCase			)

	for s in symbols:
		_lowerCAmelCase								=s + """'"""
		if (s in literals and sym not in literals) or (
		    s not in literals and sym in literals
		):
			pure_symbols.append(__UpperCamelCase			)
	for p in pure_symbols:
		_lowerCAmelCase								=None
	for s in pure_symbols:
		_lowerCAmelCase								=s + """'"""
		if s in literals:
			_lowerCAmelCase								=True
		elif sym in literals:
			_lowerCAmelCase								=False
	return pure_symbols, assignment



def        _lowerCamelCase(__UpperCamelCase       ,					__UpperCamelCase			)							->					tuple[list[str], dict[str, bool | None]]:
	_lowerCAmelCase								=[]
	for clause in clauses:
		if len(__UpperCamelCase			) == 1:
			unit_symbols.append(list(clause.literals.keys()			)[0]			)
		else:
			_lowerCAmelCase		,				_lowerCAmelCase								=0, 0
			for literal, value in clause.literals.items():
				if value is False:
					f_count += 1
				elif value is None:
					_lowerCAmelCase								=literal
					n_count += 1
			if f_count == len(__UpperCamelCase			) - 1 and n_count == 1:
				unit_symbols.append(__UpperCamelCase			)
	_lowerCAmelCase								={}
	for i in unit_symbols:
		_lowerCAmelCase								=i[:2]
		_lowerCAmelCase								=len(__UpperCamelCase			) == 2
	_lowerCAmelCase								=[i[:2] for i in unit_symbols]

	return unit_symbols, assignment



def        _lowerCamelCase(__UpperCamelCase       ,					__UpperCamelCase       ,					__UpperCamelCase			)							->					tuple[bool | None, dict[str, bool | None] | None]:
	_lowerCAmelCase								=True
	for clause in clauses:
		_lowerCAmelCase								=clause.evaluate(__UpperCamelCase			)
		if clause_check is False:
			return False, None
		elif clause_check is None:
			_lowerCAmelCase								=False
			continue

	if check_clause_all_true:
		return True, model

	try:
		_lowerCAmelCase		,				_lowerCAmelCase								=find_pure_symbols(__UpperCamelCase       ,					__UpperCamelCase       ,					__UpperCamelCase			)
	except RecursionError:
		print("""raises a RecursionError and is"""			)
		return None, {}
	_lowerCAmelCase								=None
	if len(__UpperCamelCase			) > 0:
		_lowerCAmelCase		,				_lowerCAmelCase								=pure_symbols[0], assignment[pure_symbols[0]]

	if p:
		_lowerCAmelCase								=model
		_lowerCAmelCase								=value
		_lowerCAmelCase								=list(__UpperCamelCase			)
		if p in tmp_symbols:
			tmp_symbols.remove(__UpperCamelCase			)
		return dpll_algorithm(__UpperCamelCase       ,					__UpperCamelCase       ,					__UpperCamelCase			)

	_lowerCAmelCase		,				_lowerCAmelCase								=find_unit_clauses(__UpperCamelCase       ,					__UpperCamelCase			)
	_lowerCAmelCase								=None
	if len(__UpperCamelCase			) > 0:
		_lowerCAmelCase		,				_lowerCAmelCase								=unit_symbols[0], assignment[unit_symbols[0]]
	if p:
		_lowerCAmelCase								=model
		_lowerCAmelCase								=value
		_lowerCAmelCase								=list(__UpperCamelCase			)
		if p in tmp_symbols:
			tmp_symbols.remove(__UpperCamelCase			)
		return dpll_algorithm(__UpperCamelCase       ,					__UpperCamelCase       ,					__UpperCamelCase			)
	_lowerCAmelCase								=symbols[0]
	_lowerCAmelCase								=symbols[1:]
	_lowerCAmelCase		,				_lowerCAmelCase								=model, model
	_lowerCAmelCase		,				_lowerCAmelCase								=True, False

	return dpll_algorithm(__UpperCamelCase       ,					__UpperCamelCase       ,					__UpperCamelCase			) or dpll_algorithm(__UpperCamelCase       ,					__UpperCamelCase       ,					__UpperCamelCase			)


if __name__ == "__main__":
			import doctest

			doctest.testmod()

			__A					=			generate_formula()
			print(F"""The formula {formula} is""", end=' ')

			__A		,   __A					=			generate_parameters(formula)
			__A		,   __A					=			dpll_algorithm(clauses, symbols, {})

			if solution:
						print(F"""satisfiable with the assignment {model}.""")
			else:
						print('not satisfiable.')





"""simple docstring"""


from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available, is_vision_available


__A					=			{
    'configuration_donut_swin': ['DONUT_SWIN_PRETRAINED_CONFIG_ARCHIVE_MAP', 'DonutSwinConfig'],
    'processing_donut': ['DonutProcessor'],
}

try:
			if not is_torch_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			__A					=			[
			    'DONUT_SWIN_PRETRAINED_MODEL_ARCHIVE_LIST',
			    'DonutSwinModel',
			    'DonutSwinPreTrainedModel',
			]

try:
			if not is_vision_available():
						raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
			pass
else:
			__A					=			['DonutFeatureExtractor']
			__A					=			['DonutImageProcessor']


if TYPE_CHECKING:
			from .configuration_donut_swin import DONUT_SWIN_PRETRAINED_CONFIG_ARCHIVE_MAP, DonutSwinConfig
			from .processing_donut import DonutProcessor

			try:
						if not is_torch_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .modeling_donut_swin import (
						    DONUT_SWIN_PRETRAINED_MODEL_ARCHIVE_LIST,
						    DonutSwinModel,
						    DonutSwinPreTrainedModel,
						)

			try:
						if not is_vision_available():
									raise OptionalDependencyNotAvailable()
			except OptionalDependencyNotAvailable:
						pass
			else:
						from .feature_extraction_donut import DonutFeatureExtractor
						from .image_processing_donut import DonutImageProcessor

else:
			import sys

			__A					=			_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)



