




"""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()








'''simple docstring'''


from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
lowerCAmelCase_      :  List[Any]				     =  2_9979_2458

# Symbols
lowerCAmelCase_     ,   lowerCAmelCase_     ,   lowerCAmelCase_     ,   lowerCAmelCase_      :  Tuple				     =  symbols('ct x y z')



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					float				):




     """simple docstring"""


     if velocity > c:
          raise ValueError("""Speed must not exceed light speed 299,792,458 [m/s]!"""				)
     elif velocity < 1:
          # Usually the speed should be much higher than 1 (c order of magnitude)
          raise ValueError("""Speed must be greater than or equal to 1!"""				)

     return velocity / c



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					float				):




     """simple docstring"""


     return 1 / sqrt(1 - beta(UpperCamelCase__				) ** 2				)



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					float				):




     """simple docstring"""


     return np.array(
         [
             [gamma(UpperCamelCase__				), -gamma(UpperCamelCase__				) * beta(UpperCamelCase__				), 0, 0],
             [-gamma(UpperCamelCase__				) * beta(UpperCamelCase__				), gamma(UpperCamelCase__				), 0, 0],
             [0, 0, 1, 0],
             [0, 0, 0, 1],
         ]				)



def  _SCREAMING_SNAKE_CASE     (      UpperCamelCase__    :					float ,    UpperCamelCase__    :					np.ndarray | None = None				):




     """simple docstring"""


     if event is None:
          a_     :							str     						=  np.array([ct, x, y, z]				)  # Symbolic four vector
     else:
          event[0] *= c  # x0 is ct (speed of light * time)

     return transformation_matrix(UpperCamelCase__				) @ event


if __name__ == "__main__":
 import doctest

 doctest.testmod()

 # Example of symbolic vector:
 lowerCAmelCase_      :  Union[str, Any]				     =  transform(2997_9245)
 print('Example of four vector: ')
 print(f"ct' = {four_vector[0]}")
 print(f"x' = {four_vector[1]}")
 print(f"y' = {four_vector[2]}")
 print(f"z' = {four_vector[3]}")

 # Substitute symbols with numerical values
 lowerCAmelCase_      :  Tuple				     =  {ct: c, x: 1, y: 1, z: 1}
 lowerCAmelCase_      :  Optional[int]				     =  [four_vector[i].subs(sub_dict) for i in range(4)]

 print(f"\n{numerical_vector}")
