




'''simple docstring'''







import math





def 						snake_case_							(_a	:							float    ,   _a	:							float     ):
    return math.pow(_a    ,   2     ) - a





def 						snake_case_							(_a	:							float     ):
    return 2 * x





def 						snake_case_							(_a	:							float     ):
    UpperCAmelCase			       =		2.0

    while start <= a:
        UpperCAmelCase			       =		math.pow(_a    ,   2     )

    return start





def 						snake_case_							(_a	:							float    ,   _a	:							int = 9_9_9_9    ,   _a	:							float = 0.00_0000_0000_0001     ):

    if a < 0:
        raise ValueError('''math domain error'''     )

    UpperCAmelCase			       =		get_initial_point(_a     )

    for _ in range(_a     ):
        UpperCAmelCase			       =		value
        UpperCAmelCase			       =		value - fx(_a    ,   _a     ) / fx_derivative(_a     )
        if abs(prev_value - value     ) < tolerance:
            return value

    return value


if __name__ == "__main__":
   from doctest import testmod

   testmod()










'''simple docstring'''







from __future__ import annotations





def 						snake_case_							(_a	:							Dict    ,   _a	:							str    ,   _a	:							Optional[Any]    ,   _a	:							List[str]     ):  # noqa: E741
    while r - l > 1:
        UpperCAmelCase			       =		(l + r) // 2
        if v[m] >= key:
            UpperCAmelCase			       =		m
        else:
            UpperCAmelCase			       =		m  # noqa: E741
    return r





def 						snake_case_							(_a	:							list[int]     ):
    if len(_a     ) == 0:
        return 0

    UpperCAmelCase			       =		[0] * len(_a     )
    UpperCAmelCase			       =		1

    UpperCAmelCase			       =		v[0]

    for i in range(1    ,   len(_a     )     ):
        if v[i] < tail[0]:
            UpperCAmelCase			       =		v[i]
        elif v[i] > tail[length - 1]:
            UpperCAmelCase			       =		v[i]
            length += 1
        else:
            UpperCAmelCase			       =		v[i]

    return length


if __name__ == "__main__":
   import doctest

   doctest.testmod()




