





'''simple docstring'''

from __future__ import annotations

from collections.abc import Sequence
from typing import Literal





def 		UpperCamelCase							(				_lowerCamelCase   :   str		,			_lowerCamelCase   :   str			):
    A__							=     list(_lowerCamelCase			)
    A__							=     list(_lowerCamelCase			)
    A__							=     0
    for i in range(len(_lowerCamelCase			)			):
        if lista[i] != lista[i]:
            count += 1
            A__							=     "_"
    if count > 1:
        return False
    else:
        return "".join(_lowerCamelCase			)





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





def 		UpperCamelCase							(				_lowerCamelCase   :   int		,			_lowerCamelCase   :   Sequence[float]			):
    A__							=     []
    for minterm in minterms:
        A__							=     ""
        for _ in range(_lowerCamelCase			):
            A__							=     str(minterm % 2			) + string
            minterm //= 2
        temp.append(_lowerCamelCase			)
    return temp





def 		UpperCamelCase							(				_lowerCamelCase   :   str		,			_lowerCamelCase   :   str		,			_lowerCamelCase   :   int			):
    A__							=     list(_lowerCamelCase			)
    A__							=     list(_lowerCamelCase			)
    A__							=     0
    for i in range(len(_lowerCamelCase			)			):
        if lista[i] != lista[i]:
            count_n += 1
    return count_n == count





def 		UpperCamelCase							(				_lowerCamelCase   :   list[list[int]]		,			_lowerCamelCase   :   list[str]			):
    A__							=     []
    A__							=     [0] * len(_lowerCamelCase			)
    for i in range(len(chart[0]			)			):
        A__							=     0
        A__							=     -1
        for j in range(len(_lowerCamelCase			)			):
            if chart[j][i] == 1:
                count += 1
                A__							=     j
        if count == 1:
            A__							=     1
    for i in range(len(_lowerCamelCase			)			):
        if select[i] == 1:
            for j in range(len(chart[0]			)			):
                if chart[i][j] == 1:
                    for k in range(len(_lowerCamelCase			)			):
                        A__							=     0
            temp.append(prime_implicants[i]			)
    while True:
        A__							=     0
        A__							=     -1
        A__							=     0
        for i in range(len(_lowerCamelCase			)			):
            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(_lowerCamelCase			)			):
                    A__							=     0





def 		UpperCamelCase							(				_lowerCamelCase   :   list[str]		,			_lowerCamelCase   :   list[str]			):
    A__							=     [[0 for x in range(len(_lowerCamelCase			)			)] for x in range(len(_lowerCamelCase			)			)]
    for i in range(len(_lowerCamelCase			)			):
        A__							=     prime_implicants[i].count("_"			)
        for j in range(len(_lowerCamelCase			)			):
            if is_for_table(prime_implicants[i]		,			binary[j]		,			_lowerCamelCase			):
                A__							=     1

    return chart





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

    A__							=     check(_lowerCamelCase			)
    print("Prime Implicants are:"			)
    print(_lowerCamelCase			)
    A__							=     prime_implicant_chart(_lowerCamelCase		,			_lowerCamelCase			)

    A__							=     selection(_lowerCamelCase		,			_lowerCamelCase			)
    print("Essential Prime Implicants are:"			)
    print(_lowerCamelCase			)


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()










'''simple docstring'''

from string import ascii_uppercase

__lowerCAmelCase				:      Union[str, Any]						      ={str(ord(c) - 55): c for c in ascii_uppercase}





def 		UpperCamelCase							(				_lowerCamelCase   :   int		,			_lowerCamelCase   :   int			):
    if isinstance(_lowerCamelCase		,			_lowerCamelCase			):
        raise TypeError("int() can't convert non-string with explicit base"			)
    if num < 0:
        raise ValueError("parameter must be positive int"			)
    if isinstance(_lowerCamelCase		,			_lowerCamelCase			):
        raise TypeError("'str' object cannot be interpreted as an integer"			)
    if isinstance(_lowerCamelCase		,			_lowerCamelCase			):
        raise TypeError("'float' object cannot be interpreted as an integer"			)
    if base in (0, 1):
        raise ValueError("base must be >= 2"			)
    if base > 36:
        raise ValueError("base must be <= 36"			)
    A__							=     ""
    A__							=     0
    A__							=     0
    while div != 1:
        A__,      A__							=     divmod(_lowerCamelCase		,			_lowerCamelCase			)
        if base >= 11 and 9 < mod < 36:
            A__							=     ALPHABET_VALUES[str(_lowerCamelCase			)]
        else:
            A__							=     str(_lowerCamelCase			)
        new_value += actual_value
        A__							=     num // base
        A__							=     div
        if div == 0:
            return str(new_value[::-1]			)
        elif div == 1:
            new_value += str(_lowerCamelCase			)
            return str(new_value[::-1]			)

    return new_value[::-1]


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  for base in range(2, 37):
    for num in range(1000):
      assert int(decimal_to_any(num, base), base) == num, (
          num,
          base,
          decimal_to_any(num, base),
          int(decimal_to_any(num, base), base),
      )



