code: 
  
  
  
  
  
  
  lowerCamelCase			:							int       =[0.33, 0.44, 0.55, 0.44, 0.33]
  lowerCamelCase			:							Union[str, Any]       =3
  lowerCamelCase			:							Union[str, Any]       =5
  
  # Buffer Space (with Parameters Space)
  lowerCamelCase			:							list[float]       =[]
  lowerCamelCase			:							list[float]       =[]
  
  # Machine Time
  lowerCamelCase			:							Dict       =0
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase    )				->			List[str]:
       global buffer_space, params_space, machine_time, K, m, t
  
       # Choosing Dynamical Systems (All)
       for key, value in enumerate(__lowerCAmelCase    ):
            # Evolution Parameter
            UpperCamelCase__    :     str        =						float(seed / value    )
  
            # Control Theory: Orbit Change
            UpperCamelCase__    :     str        =						(buffer_space[(key + 1) % m] + e) % 1
  
            # Control Theory: Trajectory Change
            UpperCamelCase__    :     Optional[Any]        =						(params_space[key] + e) % 1 + 3
  
            # Modification (Transition Function) - Jumps
            UpperCamelCase__    :     int        =						round(float(r * value * (1 - value)    )      ,					10    )
            UpperCamelCase__    :     Optional[Any]        =						r  # Saving to Parameters Space
  
       # Logistic Map
       assert max(__lowerCAmelCase    ) < 1
       assert max(__lowerCAmelCase    ) < 4
  
       # Machine Time
       machine_time += 1
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      )				->			int:
       global buffer_space, params_space, machine_time, K, m, t
  
       # PRNG (Xorshift by George Marsaglia)
       def xorshift(__lowerCAmelCase      ,					__lowerCAmelCase    ):
            x ^= y >> 13
            y ^= x << 17
            x ^= y >> 5
            return x
  
       # Choosing Dynamical Systems (Increment)
       UpperCamelCase__    :     List[str]        =						machine_time % m
  
       # Evolution (Time Length)
       for _ in range(0      ,					__lowerCAmelCase    ):
            # Variables (Position + Parameters)
            UpperCamelCase__    :     Tuple        =						params_space[key]
            UpperCamelCase__    :     Optional[Any]        =						buffer_space[key]
  
            # Modification (Transition Function) - Flow
            UpperCamelCase__    :     Union[str, Any]        =						round(float(r * value * (1 - value)    )      ,					10    )
            UpperCamelCase__    :     int        =						(machine_time * 0.0_1 + r * 1.0_1) % 1 + 3
  
       # Choosing Chaotic Data
       UpperCamelCase__    :     Optional[Any]        =						int(buffer_space[(key + 2) % m] * (10**10)    )
       UpperCamelCase__    :     Optional[Any]        =						int(buffer_space[(key - 2) % m] * (10**10)    )
  
       # Machine Time
       machine_time += 1
  
       return xorshift(__lowerCAmelCase      ,					__lowerCAmelCase    ) % 0xFFFF_FFFF
  
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      )				->			List[str]:
       global buffer_space, params_space, machine_time, K, m, t
  
       UpperCamelCase__    :     Optional[int]        =						K
       UpperCamelCase__    :     Optional[int]        =						[0] * m
       UpperCamelCase__    :     Any        =						0
  
  
  if __name__ == "__main__":
   # Initialization
   reset()
  
   # Pushing Data (Input)
   import random
  
   lowerCamelCase			:							Optional[Any]       =random.sample(range(0xFFFFFFFF), 100)
   for chunk in message:
    push(chunk)
  
   # for controlling
   lowerCamelCase			:							Tuple       =''''''
  
   # Pulling Data (Output)
   while inp in ("e", "E"):
    print(F"""{format(pull(), "#04x")}""")
    print(buffer_space)
    print(params_space)
    lowerCamelCase			:							int       =input('''(e)exit? ''').strip()
style_context: 
  
  
  
  
  
  
  def 	SCREAMING_SNAKE_CASE							(      __lowerCAmelCase    )				->			str:
       if len(__lowerCAmelCase    ) == 0 or not all(len(__lowerCAmelCase    ) == 2 for pair in coordinates    ):
            raise ValueError("The program cannot work out a fitting polynomial."    )
  
       if len({tuple(__lowerCAmelCase    ) for pair in coordinates}    ) != len(__lowerCAmelCase    ):
            raise ValueError("The program cannot work out a fitting polynomial."    )
  
       UpperCamelCase__    :     List[str]        =						{x for x, _ in coordinates}
       if len(__lowerCAmelCase    ) == 1:
            return f'x={coordinates[0][0]}'
  
       if len(__lowerCAmelCase    ) != len(__lowerCAmelCase    ):
            raise ValueError("The program cannot work out a fitting polynomial."    )
  
       UpperCamelCase__    :     Any        =						len(__lowerCAmelCase    )
  
       UpperCamelCase__    :     str        =						0
       UpperCamelCase__    :     list[list[float]]        =						[]
       # put the x and x to the power values in a matrix
       while count_of_line < x:
            UpperCamelCase__    :     int        =						0
            UpperCamelCase__    :     List[Any]        =						coordinates[count_of_line][0]
            UpperCamelCase__    :     list[float]        =						[]
            while count_in_line < x:
                 count_line.append(a ** (x - (count_in_line + 1))    )
                 count_in_line += 1
            matrix.append(__lowerCAmelCase    )
            count_of_line += 1
  
       UpperCamelCase__    :     List[Any]        =						0
       # put the y values into a vector
       UpperCamelCase__    :     list[float]        =						[]
       while count_of_line < x:
            vector.append(coordinates[count_of_line][1]    )
            count_of_line += 1
  
       UpperCamelCase__    :     Tuple        =						0
  
       while count < x:
            UpperCamelCase__    :     Dict        =						0
            while zahlen < x:
                 if count == zahlen:
                      zahlen += 1
                 if zahlen == x:
                      break
                 UpperCamelCase__    :     Optional[Any]        =						matrix[zahlen][count] / matrix[count][count]
                 for counting_columns, item in enumerate(matrix[count]    ):
                      # manipulating all the values in the matrix
                      matrix[zahlen][counting_columns] -= item * bruch
                 # manipulating the values in the vector
                 vector[zahlen] -= vector[count] * bruch
                 zahlen += 1
            count += 1
  
       UpperCamelCase__    :     Tuple        =						0
       # make solutions
       UpperCamelCase__    :     list[str]        =						[]
       while count < x:
            solution.append(str(vector[count] / matrix[count][count]    )    )
            count += 1
  
       UpperCamelCase__    :     int        =						0
       UpperCamelCase__    :     List[str]        =						"f(x)="
  
       while count < x:
            UpperCamelCase__    :     list[str]        =						solution[count].split("E"    )
            if len(__lowerCAmelCase    ) > 1:
                 UpperCamelCase__    :     Union[str, Any]        =						f'{remove_e[0]}*10^{remove_e[1]}'
            solved += f'x^{x - (count + 1)}*{solution[count]}'
            if count + 1 != x:
                 solved += "+"
            count += 1
  
       return solved
  
  
  if __name__ == "__main__":
   print(points_to_polynomial([]))
   print(points_to_polynomial([[]]))
   print(points_to_polynomial([[1, 0], [2, 0], [3, 0]]))
   print(points_to_polynomial([[1, 1], [2, 1], [3, 1]]))
   print(points_to_polynomial([[1, 3], [2, 3], [3, 3]]))
   print(points_to_polynomial([[1, 1], [2, 2], [3, 3]]))
   print(points_to_polynomial([[1, 1], [2, 4], [3, 9]]))
   print(points_to_polynomial([[1, 3], [2, 6], [3, 11]]))
   print(points_to_polynomial([[1, -3], [2, -6], [3, -11]]))
   print(points_to_polynomial([[1, 5], [2, 2], [3, 9]]))