

'''simple docstring'''

import string
from math import logaa

def 					__UpperCamelCase				(						lowercase__    :	str,       lowercase__    :	str			):






     '''simple docstring'''





     __lowercase      		=document.translate(
         str.maketrans('',       '',       string.punctuation			)			).replace('\n',       ''			)
     __lowercase      		=document_without_punctuation.split(' '			)  # word tokenization
     return len([word for word in tokenize_document if word.lower() == term.lower()]			)

def 					__UpperCamelCase				(						lowercase__    :	str,       lowercase__    :	str			):






     '''simple docstring'''





     __lowercase      		=corpus.lower().translate(
         str.maketrans('',       '',       string.punctuation			)			)  # strip all punctuation and replace it with ''
     __lowercase      		=corpus_without_punctuation.split('\n'			)
     __lowercase      		=term.lower()
     return (len([doc for doc in docs if term in doc]			), len(lowercase__			))

def 					__UpperCamelCase				(						lowercase__    :	int,       lowercase__    :	int,       lowercase__    :	Dict=False			):






     '''simple docstring'''





     if smoothing:
          if n == 0:
               raise ValueError('log10(0) is undefined.'			)
          return round(1 + logaa(n / (1 + df)			),       3			)

     if df == 0:
          raise ZeroDivisionError('df must be > 0'			)
     elif n == 0:
          raise ValueError('log10(0) is undefined.'			)
     return round(logaa(n / df			),       3			)







def 					__UpperCamelCase				(						lowercase__    :	int,       lowercase__    :	int			):






     '''simple docstring'''





     return round(tf * idf,       3			)





'''simple docstring'''

def 					__UpperCamelCase				(						lowercase__    :	int			):






     '''simple docstring'''





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

     __lowercase      		=[0] * (upper_limit + 1)

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


