
from __future__ import annotations

from collections.abc import Sequence
from typing import Literal


def     UpperCAmelCase_  (						__lowerCAmelCase	,					__lowerCAmelCase	) ->						str | Literal[False]:
    __lowercase		:			Optional[int]	    =       list(__lowerCAmelCase	)
    __lowercase		:			List[Any]	    =       list(__lowerCAmelCase	)
    __lowercase		:			Any	    =       0
    for i in range(len(__lowerCAmelCase	)	):
        if lista[i] != lista[i]:
            count += 1
            __lowercase		:			Optional[Any]	    =       '''_'''
    if count > 1:
        return False
    else:
        return "".join(__lowerCAmelCase	)


def     UpperCAmelCase_  (						__lowerCAmelCase	) ->						list[str]:
    __lowercase		:			str	    =       []
    while True:
        __lowercase		:			Tuple	    =       ['''$'''] * len(__lowerCAmelCase	)
        __lowercase		:			Union[str, Any]	    =       []
        for i in range(len(__lowerCAmelCase	)	):
            for j in range(i + 1	,					len(__lowerCAmelCase	)	):
                __lowercase		:			int	    =       compare_string(binary[i]	,					binary[j]	)
                if k is False:
                    __lowercase		:			str	    =       '''*'''
                    __lowercase		:			Union[str, Any]	    =       '''*'''
                    temp.append('''X'''	)
        for i in range(len(__lowerCAmelCase	)	):
            if checka[i] == "$":
                pi.append(binary[i]	)
        if len(__lowerCAmelCase	) == 0:
            return pi
        __lowercase		:			int	    =       list(set(__lowerCAmelCase	)	)


def     UpperCAmelCase_  (						__lowerCAmelCase	,					__lowerCAmelCase	) ->						list[str]:
    __lowercase		:			Optional[int]	    =       []
    for minterm in minterms:
        __lowercase		:			Optional[Any]	    =       ''''''
        for _ in range(__lowerCAmelCase	):
            __lowercase		:			List[Any]	    =       str(minterm % 2	) + string
            minterm //= 2
        temp.append(__lowerCAmelCase	)
    return temp


def     UpperCAmelCase_  (						__lowerCAmelCase	,					__lowerCAmelCase	,					__lowerCAmelCase	) ->						bool:
    __lowercase		:			Any	    =       list(__lowerCAmelCase	)
    __lowercase		:			Any	    =       list(__lowerCAmelCase	)
    __lowercase		:			Dict	    =       0
    for i in range(len(__lowerCAmelCase	)	):
        if lista[i] != lista[i]:
            count_n += 1
    return count_n == count


def     UpperCAmelCase_  (						__lowerCAmelCase	,					__lowerCAmelCase	) ->						list[str]:
    __lowercase		:			Optional[int]	    =       []
    __lowercase		:			Tuple	    =       [0] * len(__lowerCAmelCase	)
    for i in range(len(chart[0]	)	):
        __lowercase		:			int	    =       0
        __lowercase		:			Dict	    =       -1
        for j in range(len(__lowerCAmelCase	)	):
            if chart[j][i] == 1:
                count += 1
                __lowercase		:			str	    =       j
        if count == 1:
            __lowercase		:			str	    =       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	)	):
                        __lowercase		:			Optional[int]	    =       0
            temp.append(prime_implicants[i]	)
    while True:
        __lowercase		:			List[Any]	    =       0
        __lowercase		:			Dict	    =       -1
        __lowercase		:			List[str]	    =       0
        for i in range(len(__lowerCAmelCase	)	):
            __lowercase		:			List[Any]	    =       chart[i].count(1	)
            if count_n > max_n:
                __lowercase		:			Optional[Any]	    =       count_n
                __lowercase		:			Optional[int]	    =       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	)	):
                    __lowercase		:			Any	    =       0


def     UpperCAmelCase_  (						__lowerCAmelCase	,					__lowerCAmelCase	) ->						list[list[int]]:
    __lowercase		:			Union[str, Any]	    =       [[0 for x in range(len(__lowerCAmelCase	)	)] for x in range(len(__lowerCAmelCase	)	)]
    for i in range(len(__lowerCAmelCase	)	):
        __lowercase		:			int	    =       prime_implicants[i].count('''_'''	)
        for j in range(len(__lowerCAmelCase	)	):
            if is_for_table(prime_implicants[i]	,					binary[j]	,					__lowerCAmelCase	):
                __lowercase		:			int	    =       1

    return chart


def     UpperCAmelCase_  (						) ->						None:
    __lowercase		:			Any	    =       int(input('''Enter the no. of variables\n'''	)	)
    __lowercase		:			List[str]	    =       [
        float(__lowerCAmelCase	)
        for x in input(
            '''Enter the decimal representation of Minterms \'Spaces Separated\'\n'''	).split()
    ]
    __lowercase		:			int	    =       decimal_to_binary(__lowerCAmelCase	,					__lowerCAmelCase	)

    __lowercase		:			Optional[int]	    =       check(__lowerCAmelCase	)
    print('''Prime Implicants are:'''	)
    print(__lowerCAmelCase	)
    __lowercase		:			Union[str, Any]	    =       prime_implicant_chart(__lowerCAmelCase	,					__lowerCAmelCase	)

    __lowercase		:			Optional[Any]	    =       selection(__lowerCAmelCase	,					__lowerCAmelCase	)
    print('''Essential Prime Implicants are:'''	)
    print(__lowerCAmelCase	)


if __name__ == "__main__":
 import doctest

 doctest.testmod()
 main()




def     UpperCAmelCase_  (						__lowerCAmelCase	) ->						int:

    if not isinstance(__lowerCAmelCase	,					__lowerCAmelCase	):
        raise ValueError('''multiplicative_persistence() only accepts integral values'''	)
    if num < 0:
        raise ValueError('''multiplicative_persistence() does not accept negative values'''	)

    __lowercase		:			Dict	    =       0
    __lowercase		:			Optional[int]	    =       str(__lowerCAmelCase	)

    while len(__lowerCAmelCase	) != 1:
        __lowercase		:			str	    =       [int(__lowerCAmelCase	) for i in num_string]

        __lowercase		:			Union[str, Any]	    =       1
        for i in range(0	,					len(__lowerCAmelCase	)	):
            total *= numbers[i]

        __lowercase		:			Any	    =       str(__lowerCAmelCase	)

        steps += 1
    return steps


def     UpperCAmelCase_  (						__lowerCAmelCase	) ->						int:

    if not isinstance(__lowerCAmelCase	,					__lowerCAmelCase	):
        raise ValueError('''additive_persistence() only accepts integral values'''	)
    if num < 0:
        raise ValueError('''additive_persistence() does not accept negative values'''	)

    __lowercase		:			Any	    =       0
    __lowercase		:			Union[str, Any]	    =       str(__lowerCAmelCase	)

    while len(__lowerCAmelCase	) != 1:
        __lowercase		:			List[str]	    =       [int(__lowerCAmelCase	) for i in num_string]

        __lowercase		:			Tuple	    =       0
        for i in range(0	,					len(__lowerCAmelCase	)	):
            total += numbers[i]

        __lowercase		:			List[str]	    =       str(__lowerCAmelCase	)

        steps += 1
    return steps


if __name__ == "__main__":
 import doctest

 doctest.testmod()


