

'''simple docstring'''

from __future__ import annotations

import random
from collections.abc import Iterable







class lowerCamelCase   :

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






				def 					_lowerCamelCase    (       self,						lowercase_ )    ->							bool | None:
					for literal in self.literals:
						snake_case							=					literal.rstrip('\'' ) if literal.endswith('\'' ) else literal + '\''
						if symbol in self.literals:
							return True

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







class lowerCamelCase   :

				def __init__(       self,						lowercase_ )    ->							None:
					snake_case							=					list(lowercase_ )






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

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

def      __magic_name__							(			)      ->		Formula:
	snake_case							=					set()
	snake_case							=					random.randint(1       , 1_0				)
	while len(A				) < no_of_clauses:
		clauses.add(generate_clause()				)
	return Formula(A				)

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

def      __magic_name__							(			A       , A       , A				)      ->		tuple[list[str], dict[str, bool | None]]:
	snake_case							=					[]
	snake_case							=					{}
	snake_case							=					[]

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

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

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

	return unit_symbols, assignment

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

	if check_clause_all_true:
		return True, model

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

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

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

	return dpll_algorithm(A       , A       , A				) or dpll_algorithm(A       , A       , A				)


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						lowerCAmelCase_     =      generate_formula()
						print(f"The formula {formula} is", end=" ")

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

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








'''simple docstring'''

from .balanced_parentheses import balanced_parentheses
from .stack import Stack

def      __magic_name__							(			A				)      ->		int:
	return {"+": 1, "-": 1, "*": 2, "/": 2, "^": 3}.get(A       , -1				)

def      __magic_name__							(			A				)      ->		str:
	if not balanced_parentheses(A				):
		raise ValueError('Mismatched parentheses'				)
	snake_case							=					Stack()
	snake_case							=					[]
	for char in expression_str:
		if char.isalpha() or char.isdigit():
			postfix.append(A				)
		elif char == "(":
			stack.push(A				)
		elif char == ")":
			while not stack.is_empty() and stack.peek() != "(":
				postfix.append(stack.pop()				)
			stack.pop()
		else:
			while not stack.is_empty() and precedence(A				) <= precedence(stack.peek()				):
				postfix.append(stack.pop()				)
			stack.push(A				)
	while not stack.is_empty():
		postfix.append(stack.pop()				)
	return " ".join(A				)


if __name__ == "__main__":
						from doctest import testmod

						testmod()
						lowerCAmelCase_     =      "a+b*(c^d-e)^(f+g*h)-i"

						print("Infix to Postfix Notation demonstration:\n")
						print("Infix notation: " + expression)
						print("Postfix notation: " + infix_to_postfix(expression))





