




from __future__ import annotations

from collections.abc import Sequence
from typing import Literal

def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase		, __UpperCamelCase)      ->					str | Literal[False]:
     a     =				list(__UpperCamelCase)
     a     =				list(__UpperCamelCase)
     a     =				0
     for i in range(len(__UpperCamelCase)):
          if lista[i] != lista[i]:
               count += 1
               a     =				"_"
     if count > 1:
          return False
     else:
          return "".join(__UpperCamelCase)

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

def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase		, __UpperCamelCase)      ->					list[str]:
     a     =				[]
     for minterm in minterms:
          a     =				""
          for _ in range(__UpperCamelCase):
               a     =				str(minterm % 2) + string
               minterm //= 2
          temp.append(__UpperCamelCase)
     return temp

def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase		, __UpperCamelCase		, __UpperCamelCase)      ->					bool:
     a     =				list(__UpperCamelCase)
     a     =				list(__UpperCamelCase)
     a     =				0
     for i in range(len(__UpperCamelCase)):
          if lista[i] != lista[i]:
               count_n += 1
     return count_n == count

def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase		, __UpperCamelCase)      ->					list[str]:
     a     =				[]
     a     =				[0] * len(__UpperCamelCase)
     for i in range(len(chart[0])):
          a     =				0
          a     =				-1
          for j in range(len(__UpperCamelCase)):
               if chart[j][i] == 1:
                    count += 1
                    a     =				j
          if count == 1:
               a     =				1
     for i in range(len(__UpperCamelCase)):
          if select[i] == 1:
               for j in range(len(chart[0])):
                    if chart[i][j] == 1:
                         for k in range(len(__UpperCamelCase)):
                              a     =				0
               temp.append(prime_implicants[i])
     while True:
          a     =				0
          a     =				-1
          a     =				0
          for i in range(len(__UpperCamelCase)):
               a     =				chart[i].count(1)
               if count_n > max_n:
                    a     =				count_n
                    a     =				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(__UpperCamelCase)):
                         a     =				0

def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase		, __UpperCamelCase)      ->					list[list[int]]:
     a     =				[[0 for x in range(len(__UpperCamelCase))] for x in range(len(__UpperCamelCase))]
     for i in range(len(__UpperCamelCase)):
          a     =				prime_implicants[i].count("_")
          for j in range(len(__UpperCamelCase)):
               if is_for_table(prime_implicants[i]		, binary[j]		, __UpperCamelCase):
                    a     =				1

     return chart

def  SCREAMING_SNAKE_CASE							(       )      ->					None:
     a     =				int(input("Enter the no. of variables\n"))
     a     =				[
         float(__UpperCamelCase)
         for x in input(
             "Enter the decimal representation of Minterms 'Spaces Separated'\n").split()
     ]
     a     =				decimal_to_binary(__UpperCamelCase		, __UpperCamelCase)

     a     =				check(__UpperCamelCase)
     print("Prime Implicants are:")
     print(__UpperCamelCase)
     a     =				prime_implicant_chart(__UpperCamelCase		, __UpperCamelCase)

     a     =				selection(__UpperCamelCase		, __UpperCamelCase)
     print("Essential Prime Implicants are:")
     print(__UpperCamelCase)


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   main()







# Author: OMKAR PATHAK, Nwachukwu Chidiebere

# Use a Python dictionary to construct the graph.
from __future__ import annotations

from pprint import pformat
from typing import Generic, TypeVar

lowercase__				:      str	   = TypeVar("T")




class       a__	( Generic[T]				):







     def __init__(     self  ,		A = True			)  ->   None:



          '''simple docstring'''



          a     =				{}  # dictionary of lists
          a     =				directed







     def       lowerCAmelCase_    (     self  ,		A  ,		A			)  ->   GraphAdjacencyList[T]:



          '''simple docstring'''



          if not self.directed:  # For undirected graphs
               # if both source vertex and destination vertex are both present in the
               # adjacency list, add destination vertex to source vertex list of adjacent
               # vertices and add source vertex to destination vertex list of adjacent
               # vertices.
               if source_vertex in self.adj_list and destination_vertex in self.adj_list:
                    self.adj_list[source_vertex].append(A			)
                    self.adj_list[destination_vertex].append(A			)
               # if only source vertex is present in adjacency list, add destination vertex
               # to source vertex list of adjacent vertices, then create a new vertex with
               # destination vertex as key and assign a list containing the source vertex
               # as it's first adjacent vertex.
               elif source_vertex in self.adj_list:
                    self.adj_list[source_vertex].append(A			)
                    a     =				[source_vertex]
               # if only destination vertex is present in adjacency list, add source vertex
               # to destination vertex list of adjacent vertices, then create a new vertex
               # with source vertex as key and assign a list containing the source vertex
               # as it's first adjacent vertex.
               elif destination_vertex in self.adj_list:
                    self.adj_list[destination_vertex].append(A			)
                    a     =				[destination_vertex]
               # if both source vertex and destination vertex are not present in adjacency
               # list, create a new vertex with source vertex as key and assign a list
               # containing the destination vertex as it's first adjacent vertex also
               # create a new vertex with destination vertex as key and assign a list
               # containing the source vertex as it's first adjacent vertex.
               else:
                    a     =				[destination_vertex]
                    a     =				[source_vertex]
          else:  # For directed graphs
               # if both source vertex and destination vertex are present in adjacency
               # list, add destination vertex to source vertex list of adjacent vertices.
               if source_vertex in self.adj_list and destination_vertex in self.adj_list:
                    self.adj_list[source_vertex].append(A			)
               # if only source vertex is present in adjacency list, add destination
               # vertex to source vertex list of adjacent vertices and create a new vertex
               # with destination vertex as key, which has no adjacent vertex
               elif source_vertex in self.adj_list:
                    self.adj_list[source_vertex].append(A			)
                    a     =				[]
               # if only destination vertex is present in adjacency list, create a new
               # vertex with source vertex as key and assign a list containing destination
               # vertex as first adjacent vertex
               elif destination_vertex in self.adj_list:
                    a     =				[destination_vertex]
               # if both source vertex and destination vertex are not present in adjacency
               # list, create a new vertex with source vertex as key and a list containing
               # destination vertex as it's first adjacent vertex. Then create a new vertex
               # with destination vertex as key, which has no adjacent vertex
               else:
                    a     =				[destination_vertex]
                    a     =				[]

          return self







     def __repr__(     self			)  ->   str:



          '''simple docstring'''



          return pformat(self.adj_list			)

