





'''simple docstring'''


from __future__ import annotations

from decimal import Decimal
from math import *  # noqa: F403

from sympy import diff
def 							UpperCAmelCase_  (						__lowerCamelCase					:					str	,__lowerCamelCase					:					float | Decimal	,__lowerCamelCase					:					float = 10**-10 ):
   lowercase_			:int    			= a
   while True:
      lowercase_			:Optional[Any]    			= Decimal(__lowerCamelCase ) - (
          Decimal(eval(__lowerCamelCase ) ) / Decimal(eval(str(diff(__lowerCamelCase ) ) ) )  # noqa: S307
      )
      # This number dictates the accuracy of the answer
      if abs(eval(__lowerCamelCase ) ) < precision:  # noqa: S307
         return float(__lowerCamelCase )


# Let's Execute
if __name__ == "__main__":
 # Find root of trigonometric function
 # Find value of pi
 print(F'''The root of sin(x) = 0 is {newton_raphson('sin(x)', 2)}''')
 # Find root of polynomial
 print(F'''The root of x**2 - 5*x + 2 = 0 is {newton_raphson('x**2 - 5*x + 2', 0.4)}''')
 # Find Square Root of 5
 print(F'''The root of log(x) - 1 = 0 is {newton_raphson('log(x) - 1', 2)}''')
 # Exponential Roots
 print(F'''The root of exp(x) - 1 = 0 is {newton_raphson('exp(x) - 1', 0)}''')









'''simple docstring'''


def 							UpperCAmelCase_  (						__lowerCamelCase					:					int = 1_00 ):
   lowercase_			:Tuple    			= n * (n + 1) * (2 * n + 1) / 6
   lowercase_			:List[str]    			= (n * (n + 1) / 2) ** 2
   return int(square_of_sum - sum_of_squares )


if __name__ == "__main__":
 print(F'''{solution() = }''')


