





def 							lowerCAmelCase_      (				A_):
    UpperCamelCase__:     Dict     							=			0

    # if input_string is "aba" than new_input_string become "a|b|a"
    UpperCamelCase__:     List[Any]     							=			""""""
    UpperCamelCase__:     Dict     							=			""""""

    # append each character + "|" in new_string for range(0, length-1)
    for i in input_string[: len(_snake_case) - 1]:
        new_input_string += i + "|"
    # append last character
    new_input_string += input_string[-1]

    # we will store the starting and ending of previous furthest ending palindromic
    # substring
    UpperCamelCase__:     List[str]     							=			0, 0

    # length[i] shows the length of palindromic substring with center i
    UpperCamelCase__:     List[Any]     							=			[1 for i in range(len(_snake_case))]

    # for each character in new_string find corresponding palindromic string
    UpperCamelCase__:     Tuple     							=			0
    for j in range(len(_snake_case)):
        UpperCamelCase__:     Tuple     							=			1 if j > r else min(length[l + r - j] // 2  ,r - j + 1)
        while (
            j - k >= 0
            and j + k < len(_snake_case)
            and new_input_string[k + j] == new_input_string[j - k]
        ):
            k += 1

        UpperCamelCase__:     int     							=			2 * k - 1

        # does this string is ending after the previously explored end (that is r) ?
        # if yes the update the new r to the last index of this
        if j + k - 1 > r:
            UpperCamelCase__:     Optional[Any]     							=			j - k + 1  # noqa: E741
            UpperCamelCase__:     Any     							=			j + k - 1

        # update max_length and start position
        if max_length < length[j]:
            UpperCamelCase__:     Union[str, Any]     							=			length[j]
            UpperCamelCase__:     List[Any]     							=			j

    # create that string
    UpperCamelCase__:     Tuple     							=			new_input_string[start - max_length // 2 : start + max_length // 2 + 1]
    for i in s:
        if i != "|":
            output_string += i

    return output_string


if __name__ == "__main__":
   import doctest

   doctest.testmod()



"""simple docstring"""




def lowercase_  (   _snake_case						):
							if a < 0:
														raise ValueError("""Input value must be a positive integer"""						)
							elif isinstance(_snake_case   ,_snake_case						):
														raise TypeError("""Input value must be a 'int' type"""						)
							return bin(_snake_case						).count("""1"""						)


if __name__ == "__main__":
					import doctest

					doctest.testmod()




