


"""simple docstring"""





from __future__ import annotations

from collections.abc import Sequence
from typing import Literal


def      _snake_case						(						_snake_case				:			Optional[int] ,   _snake_case				:			Any			):
						lowerCAmelCase					:	str       =   list(_lowercase			)
						lowerCAmelCase					:	int       =   list(_lowercase			)
						lowerCAmelCase					:	Tuple       =   0
						for i in range(len(_lowercase			)			):
												if lista[i] != lista[i]:
																		count += 1
																		lowerCAmelCase					:	str       =   '_'
						if count > 1:
												return False
						else:
												return "".join(_lowercase			)


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


def      _snake_case						(						_snake_case				:			Tuple ,   _snake_case				:			Any			):
						lowerCAmelCase					:	Optional[int]       =   []
						for minterm in minterms:
												lowerCAmelCase					:	Tuple       =   ''
												for _ in range(_lowercase			):
																		lowerCAmelCase					:	Tuple       =   str(minterm % 2			) + string
																		minterm //= 2
												temp.append(_lowercase			)
						return temp


def      _snake_case						(						_snake_case				:			Tuple ,   _snake_case				:			Any ,   _snake_case				:			Tuple			):
						lowerCAmelCase					:	int       =   list(_lowercase			)
						lowerCAmelCase					:	List[Any]       =   list(_lowercase			)
						lowerCAmelCase					:	Any       =   0
						for i in range(len(_lowercase			)			):
												if lista[i] != lista[i]:
																		count_n += 1
						return count_n == count


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


def      _snake_case						(						_snake_case				:			List[Any] ,   _snake_case				:			int			):
						lowerCAmelCase					:	Optional[Any]       =   [[0 for x in range(len(_lowercase			)			)] for x in range(len(_lowercase			)			)]
						for i in range(len(_lowercase			)			):
												lowerCAmelCase					:	int       =   prime_implicants[i].count('''_'''			)
												for j in range(len(_lowercase			)			):
																		if is_for_table(prime_implicants[i] ,   binary[j] ,   _lowercase			):
																								lowerCAmelCase					:	List[str]       =   1

						return chart


def      _snake_case						(						):
						lowerCAmelCase					:	Tuple       =   int(input('''Enter the no. of variables\n'''			)			)
						lowerCAmelCase					:	Optional[int]       =   [
						    float(_lowercase			)
						    for x in input(
						        '''Enter the decimal representation of Minterms \'Spaces Separated\'\n'''			).split()
						]
						lowerCAmelCase					:	Dict       =   decimal_to_binary(_lowercase ,   _lowercase			)

						lowerCAmelCase					:	List[Any]       =   check(_lowercase			)
						print('''Prime Implicants are:'''			)
						print(_lowercase			)
						lowerCAmelCase					:	str       =   prime_implicant_chart(_lowercase ,   _lowercase			)

						lowerCAmelCase					:	Dict       =   selection(_lowercase ,   _lowercase			)
						print('''Essential Prime Implicants are:'''			)
						print(_lowercase			)


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	main()






"""simple docstring"""





class 		snake_case_:






     def __init__(	self  :					Union[str, Any]					,				UpperCamelCase_  :					str				):
           lowerCAmelCase					:	Dict       =   val
           lowerCAmelCase					:	str       =   None
           lowerCAmelCase					:	Dict       =   None






     def      lowerCamelCase__     (	self  :					Union[str, Any]					,				UpperCamelCase_  :					Dict				):
           if self.val:
                 if val < self.val:
                       if self.left is None:
                             lowerCAmelCase					:	int       =   Node(UpperCamelCase_				)
                       else:
                             self.left.insert(UpperCamelCase_				)
                 elif val > self.val:
                       if self.right is None:
                             lowerCAmelCase					:	Any       =   Node(UpperCamelCase_				)
                       else:
                             self.right.insert(UpperCamelCase_				)
           else:
                 lowerCAmelCase					:	Optional[Any]       =   val



def      _snake_case						(						_snake_case				:			Tuple ,   _snake_case				:			str			):
      # Recursive traversal
      if root:
            inorder(root.left ,   _snake_case			)
            res.append(root.val			)
            inorder(root.right ,   _snake_case			)


def      _snake_case						(						_snake_case				:			Optional[Any]			):
      # Build BST
      if len(_snake_case			) == 0:
            return arr
      lowerCAmelCase					:	Optional[Any]       =   Node(arr[0]			)
      for i in range(1 ,   len(_snake_case			)			):
            root.insert(arr[i]			)
      # Traverse BST in order.
      lowerCAmelCase					:	Optional[int]       =   []
      inorder(_snake_case ,   _snake_case			)
      return res


if __name__ == "__main__":
 print(tree_sort([10, 1, 3, 2, 9, 14, 13]))


