




"""simple docstring"""





import secrets
from random import shuffle
from string import ascii_letters, ascii_lowercase, ascii_uppercase, digits, punctuation

def        _UpperCamelCase     (      UpperCamelCase = 8				)      ->      str:


			"""simple docstring"""
			__UpperCAmelCase						:			List[Any]												=       ascii_letters + digits + punctuation
			return "".join(secrets.choice(UpperCamelCase				) for _ in range(UpperCamelCase				)				)

def        _UpperCamelCase     (      UpperCamelCase					,							UpperCamelCase				)      ->      str:


			"""simple docstring"""
			# Password Generator = full boot with random_number, random_letters, and
			# random_character FUNCTIONS
			# Put your code here...
			i -= len(UpperCamelCase				)
			__UpperCAmelCase						:			int												=       i // 3
			__UpperCAmelCase						:			Optional[int]												=       i % 3
			# chars = chars_incl + random_letters(ascii_letters, i / 3 + remainder) +
			#     random_number(digits, i / 3) + random_characters(punctuation, i / 3)
			__UpperCAmelCase						:			Optional[Any]												=       (
			    chars_incl
			    + random(UpperCamelCase					,							quotient + remainder				)
			    + random(UpperCamelCase					,							UpperCamelCase				)
			    + random(UpperCamelCase					,							UpperCamelCase				)
			)
			__UpperCAmelCase						:			Union[str, Any]												=       list(UpperCamelCase				)
			shuffle(UpperCamelCase				)
			return "".join(UpperCamelCase				)

			# random is a generalised function for letters, characters and numbers

def        _UpperCamelCase     (      UpperCamelCase					,							UpperCamelCase				)      ->      str:


			"""simple docstring"""
			return "".join(secrets.choice(UpperCamelCase				) for _ in range(UpperCamelCase				)				)

def        _UpperCamelCase     (      UpperCamelCase					,							UpperCamelCase				)      ->      Optional[Any]:


			"""simple docstring"""
			pass  # Put your code here...

def        _UpperCamelCase     (      UpperCamelCase					,							UpperCamelCase				)      ->      Any:


			"""simple docstring"""
			pass  # Put your code here...

def        _UpperCamelCase     (      UpperCamelCase					,							UpperCamelCase				)      ->      Union[str, Any]:


			"""simple docstring"""
			pass  # Put your code here...

def        _UpperCamelCase     (      UpperCamelCase					,							UpperCamelCase = 8				)      ->      bool:


			"""simple docstring"""

			if len(UpperCamelCase				) < min_length:
						# Your Password must be at least 8 characters long
						return False

			__UpperCAmelCase						:			Tuple												=       any(char in ascii_uppercase for char in password				)
			__UpperCAmelCase						:			Optional[int]												=       any(char in ascii_lowercase for char in password				)
			__UpperCAmelCase						:			Optional[int]												=       any(char in digits for char in password				)
			__UpperCAmelCase						:			Any												=       any(char in punctuation for char in password				)

			return upper and lower and num and spec_char
			# Passwords should contain UPPERCASE, lowerase
			# numbers, and special characters

def        _UpperCamelCase     (      )      ->      Dict:


			"""simple docstring"""
			__UpperCAmelCase						:			str												=       int(input("Please indicate the max length of your password: "				).strip()				)
			__UpperCAmelCase						:			Dict												=       input(
			    "Please indicate the characters that must be in your password: "				).strip()
			print("Password generated:"					,							password_generator(UpperCamelCase				)				)
			print(
			    "Alternative Password generated:"					,							alternative_password_generator(UpperCamelCase					,							UpperCamelCase				)					,							)
			print("[If you are thinking of using this passsword, You better save it.]"				)


if __name__ == "__main__":
					main()









from __future__ import annotations

from scipy.special import comb  # type: ignore







class       __A							:




      """simple docstring"""







      def __init__(		self   ,				a__):



             """simple docstring"""





             _lowerCamelCase				:  str						=		list_of_points
             # Degree determines the flexibility of the curve.
             # Degree = 1 will produce a straight line.
             _lowerCamelCase				:  List[Any]						=		len(a__) - 1


      def 					__snake_case      (		self   ,				a__):



             """simple docstring"""





             assert 0 <= t <= 1, "Time t must be between 0 and 1."
             _lowerCamelCase				:  list[float]						=		[]
             for i in range(len(self.list_of_points)):
                    # basis function for each i
                    output_values.append(
                        comb(self.degree   ,				a__) * ((1 - t) ** (self.degree - i)) * (t**i))
             # the basis must sum up to 1 for it to produce a valid Bezier curve.
             assert round(sum(a__)   ,				5) == 1
             return output_values


      def 					__snake_case      (		self   ,				a__):



             """simple docstring"""





             assert 0 <= t <= 1, "Time t must be between 0 and 1."

             _lowerCamelCase				:  Any						=		self.basis_function(a__)
             _lowerCamelCase				:  List[Any]						=		0.0
             _lowerCamelCase				:  List[Any]						=		0.0
             for i in range(len(self.list_of_points)):
                    # For all points, sum up the product of i-th basis function and i-th point.
                    x += basis_function[i] * self.list_of_points[i][0]
                    y += basis_function[i] * self.list_of_points[i][1]
             return (x, y)



      def 					__snake_case      (		self   ,				a__ = 0.01):



             """simple docstring"""





             from matplotlib import pyplot as plt  # type: ignore

             _lowerCamelCase				:  list[float]						=		[]  # x coordinates of points to plot
             _lowerCamelCase				:  list[float]						=		[]  # y coordinates of points to plot

             _lowerCamelCase				:  List[Any]						=		0.0
             while t <= 1:
                    _lowerCamelCase				:  Tuple						=		self.bezier_curve_function(a__)
                    to_plot_x.append(value[0])
                    to_plot_y.append(value[1])
                    t += step_size

             _lowerCamelCase				:  List[Any]						=		[i[0] for i in self.list_of_points]
             _lowerCamelCase				:  Union[str, Any]						=		[i[1] for i in self.list_of_points]

             plt.plot(
                 a__   ,				a__   ,				color='''blue'''   ,				label='''Curve of Degree ''' + str(self.degree)   ,				)
             plt.scatter(a__   ,				a__   ,				color='''red'''   ,				label='''Control Points''')
             plt.legend()
             plt.show()


if __name__ == "__main__":
       import doctest

       doctest.testmod()

       BezierCurve([(1, 2), (3, 5)]).plot_curve()  # degree 1
       BezierCurve([(0, 0), (5, 5), (5, 0)]).plot_curve()  # degree 2
       BezierCurve([(0, 0), (5, 5), (5, 0), (2.5, -2.5)]).plot_curve()  # degree 3

