
"""simple docstring"""




def   __magic_name__	(      __snake_case				:       Any     , __snake_case				:       Dict  ) ->				int:
       _validate_point(__snake_case  )
       _validate_point(__snake_case  )
       if len(__snake_case  ) != len(__snake_case  ):
              raise ValueError("Both points must be in the same n-dimensional space"  )

       return float(sum(abs(a - b  ) for a, b in zip(__snake_case     , __snake_case  )  )  )


def   __magic_name__	(      __snake_case				:       Dict  ) ->				Optional[Any]:







       if point:
              if isinstance(__snake_case     , __snake_case  ):
                     for item in point:
                            if not isinstance(__snake_case     , (int, float)  ):
                                   lowercase    :				Optional[int]       		=							(
                                       '''Expected a list of numbers as input, found '''
                                       f"""{type(__snake_case  ).__name__}"""
                                   )
                                   raise TypeError(__snake_case  )
              else:
                     lowercase    :				List[str]       		=							f"""Expected a list of numbers as input, found {type(__snake_case  ).__name__}"""
                     raise TypeError(__snake_case  )
       else:
              raise ValueError("Missing an input"  )


def   __magic_name__	(      __snake_case				:       Tuple     , __snake_case				:       List[Any]  ) ->				Union[str, Any]:
       _validate_point(__snake_case  )
       _validate_point(__snake_case  )
       if len(__snake_case  ) != len(__snake_case  ):
              raise ValueError("Both points must be in the same n-dimensional space"  )

       return float(sum(abs(x - y  ) for x, y in zip(__snake_case     , __snake_case  )  )  )


if __name__ == "__main__":
   import doctest

   doctest.testmod()



def lowerCamelCase  (   SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    __UpperCamelCase     :Tuple			  =		[0 for i in range(len(SCREAMING_SNAKE_CASE	)	)]

    # initialize interval's left pointer and right pointer
    __UpperCamelCase  ,       __UpperCamelCase     :str			  =		0, 0

    for i in range(1  ,			len(SCREAMING_SNAKE_CASE	)	):
        # case when current index is inside the interval
        if i <= right_pointer:
            __UpperCamelCase     :Union[str, Any]			  =		min(right_pointer - i + 1  ,			z_result[i - left_pointer]	)
            __UpperCamelCase     :Tuple			  =		min_edge

        while go_next(SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
            z_result[i] += 1

        # if new index's result gives us more right interval,
        # we've to update left_pointer and right_pointer
        if i + z_result[i] - 1 > right_pointer:
            __UpperCamelCase  ,       __UpperCamelCase     :Union[str, Any]			  =		i, i + z_result[i] - 1

    return z_result



def lowerCamelCase  (   SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    return i + z_result[i] < len(SCREAMING_SNAKE_CASE	) and s[z_result[i]] == s[i + z_result[i]]



def lowerCamelCase  (   SCREAMING_SNAKE_CASE  ,			SCREAMING_SNAKE_CASE	):
    '''simple docstring'''







    __UpperCamelCase     :List[Any]			  =		0
    # concatenate 'pattern' and 'input_str' and call z_function
    # with concatenated string
    __UpperCamelCase     :Tuple			  =		z_function(pattern + input_str	)

    for val in z_result:
        # if value is greater then length of the pattern string
        # that means this index is starting position of substring
        # which is equal to pattern string
        if val >= len(SCREAMING_SNAKE_CASE	):
            answer += 1

    return answer


if __name__ == "__main__":
    import doctest

    doctest.testmod()





