




import pandas as pd
from matplotlib import pyplot as plt
from sklearn.linear_model import LinearRegression

# Splitting the dataset into the Training set and Test set
from sklearn.model_selection import train_test_split

# Fitting Polynomial Regression to the dataset
from sklearn.preprocessing import PolynomialFeatures

# Importing the dataset
_lowerCamelCase	:		Dict							       =   pd.read_csv(
    """https://s3.us-west-2.amazonaws.com/public.gamelab.fun/dataset/"""
    """position_salaries.csv"""
)
_lowerCamelCase	:		Any							       =   dataset.iloc[:, 1:2].values
_lowerCamelCase	:		List[Any]							       =   dataset.iloc[:, 2].values


_lowerCamelCase       ,			_lowerCamelCase       ,			_lowerCamelCase       ,			_lowerCamelCase	:		Dict							       =   train_test_split(X, y, test_size=0.2, random_state=0)


_lowerCamelCase	:		List[Any]							       =   PolynomialFeatures(degree=4)
_lowerCamelCase	:		Optional[Any]							       =   poly_reg.fit_transform(X)
_lowerCamelCase	:		Tuple							       =   LinearRegression()
pol_reg.fit(X_poly, y)







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



       """simple docstring"""

       plt.scatter(lowercase_ ,				lowercase_ ,				color='''red'''						)
       plt.plot(lowercase_ ,				pol_reg.predict(poly_reg.fit_transform(lowercase_						)						) ,				color='''blue'''						)
       plt.title('''Truth or Bluff (Linear Regression)'''						)
       plt.xlabel('''Position level'''						)
       plt.ylabel('''Salary'''						)
       plt.show()


if __name__ == "__main__":
  viz_polymonial()

  # Predicting a new result with Polymonial Regression
  pol_reg.predict(poly_reg.fit_transform([[5.5]]))
  # output should be 132148.43750003








def SCREAMING_SNAKE_CASE				(       lowercase_						)   ->       "list[int]":



       """simple docstring"""

       if upper_limit < 0:
              raise ValueError('''Limit for the Catalan sequence must be ≥ 0'''						)

       A__       =    [0] * (upper_limit + 1)

       # Base case: C(0) = C(1) = 1
       A__       =    1
       if upper_limit > 0:
              A__       =    1

       # Recurrence relation: C(i) = sum(C(j).C(i-j-1)), from j = 0 to i
       for i in range(2 ,				upper_limit + 1						):
              for j in range(lowercase_						):
                     catalan_list[i] += catalan_list[j] * catalan_list[i - j - 1]

       return catalan_list


if __name__ == "__main__":
  print("""\n********* Catalan Numbers Using Dynamic Programming ************\n""")
  print("""\n*** Enter -1 at any time to quit ***""")
  print("""\nEnter the upper limit (≥ 0) for the Catalan number sequence: """, end="""""")
  try:
    while True:
      _lowerCamelCase	:		List[Any]							       =   int(input().strip())
      if N < 0:
        print("""\n********* Goodbye!! ************""")
        break
      else:
        print(F'''The Catalan numbers from 0 through {N} are:''')
        print(catalan_numbers(N))
        print("""Try another upper limit for the sequence: """, end="""""")
  except (NameError, ValueError):
    print("""\n********* Invalid input, goodbye! ************\n""")

  import doctest

  doctest.testmod()


