import string


def   a__			(		__UpperCamelCase					):
      SCREAMING_SNAKE_CASE_    =	""
      for i in sequence:
            SCREAMING_SNAKE_CASE_    =	ord(lowercase_					)
            if 6_5 <= extract <= 9_0:
                  output += chr(1_5_5 - extract					)
            elif 9_7 <= extract <= 1_2_2:
                  output += chr(2_1_9 - extract					)
            else:
                  output += i
      return output


def   a__			(		__UpperCamelCase					):
      SCREAMING_SNAKE_CASE_    =	string.ascii_letters
      SCREAMING_SNAKE_CASE_    =	string.ascii_lowercase[::-1] + string.ascii_uppercase[::-1]
      return "".join(
          letters_reversed[letters.index(lowercase_					)] if c in letters else c for c in sequence					)


def   a__			(		):
      from timeit import timeit

      print("Running performance benchmarks..."					)
      SCREAMING_SNAKE_CASE_    =	"from string import printable ; from __main__ import atbash, atbash_slow"
      print(F'''> atbash_slow(): {timeit("atbash_slow(printable)"  ,   setup=lowercase_					)} seconds'''					)
      print(F'''>      atbash(): {timeit("atbash(printable)"  ,   setup=lowercase_					)} seconds'''					)


if __name__ == "__main__":
      for example in ("ABCDEFGH", "123GGjj", "testStringtest", "with space"):
            print(f"{example} encrypted in atbash: {atbash(example)}")
      benchmark()








from math import sqrt

import numpy as np
from sympy import symbols

# Coefficient
# Speed of light (m/s)
_lowerCamelCase      :						str							=  299792458

# Symbols
_lowerCamelCase			,     _lowerCamelCase			,     _lowerCamelCase			,     _lowerCamelCase      :						int							=  symbols("""ct x y z""")







def SCREAMING_SNAKE_CASE							(			lowercase_		)  ->			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							(			lowercase_		)  ->			float:



       """simple docstring"""

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







def SCREAMING_SNAKE_CASE							(			lowercase_		)  ->			np.ndarray:



       """simple docstring"""

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







def SCREAMING_SNAKE_CASE							(			lowercase_					,							lowercase_ = None		)  ->			np.ndarray:



       """simple docstring"""

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

       return transformation_matrix(lowercase_		) @ event


if __name__ == "__main__":
  import doctest

  doctest.testmod()

  # Example of symbolic vector:
  _lowerCamelCase      :						Tuple							=  transform(29979245)
  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      :						int							=  {ct: c, x: 1, y: 1, z: 1}
  _lowerCamelCase      :						Any							=  [four_vector[i].subs(sub_dict) for i in range(4)]

  print(F'''\n{numerical_vector}''')


