



import string
from math import logaa






def 					__lowerCAmelCase		(  __lowerCamelCase	:    Union[str, Any]				,   __lowerCamelCase	:    List[Any]	)  ->						int:
					__lowerCAmelCase	   =document.translate(
					    str.maketrans(""""""				,   """"""				,   string.punctuation	)	).replace("""\n"""				,   """"""	)
					__lowerCAmelCase	   =document_without_punctuation.split(""" """	)  # word tokenization
					return len([word for word in tokenize_document if word.lower() == term.lower()]	)






def 					__lowerCAmelCase		(  __lowerCamelCase	:    Dict				,   __lowerCamelCase	:    Any	)  ->						tuple[int, int]:
					__lowerCAmelCase	   =corpus.lower().translate(
					    str.maketrans(""""""				,   """"""				,   string.punctuation	)	)  # strip all punctuation and replace it with ''
					__lowerCAmelCase	   =corpus_without_punctuation.split("""\n"""	)
					__lowerCAmelCase	   =term.lower()
					return (len([doc for doc in docs if term in doc]	), len(__snake_case	))






def 					__lowerCAmelCase		(  __lowerCamelCase	:    str				,   __lowerCamelCase	:    Any				,   __lowerCamelCase	:    Optional[Any]=False	)  ->						float:







					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 					__lowerCAmelCase		(  __lowerCamelCase	:    Optional[Any]				,   __lowerCamelCase	:    Any	)  ->						float:
					return round(tf * idf				,   3	)








def 					__lowerCAmelCase		(  __lowerCamelCase	:    int	)  ->						list:
					__lowerCAmelCase	   =int(__lowerCamelCase	)
					if n_element < 1:
										__lowerCAmelCase	   =ValueError("""a should be a positive number"""	)
										raise my_error

					__lowerCAmelCase	   =[1]
					__lowerCAmelCase   ,	__lowerCAmelCase   ,	__lowerCAmelCase	   =(0, 0, 0)
					__lowerCAmelCase	   =1
					while index < n_element:
										while hamming_list[i] * 2 <= hamming_list[-1]:
															i += 1
										while hamming_list[j] * 3 <= hamming_list[-1]:
															j += 1
										while hamming_list[k] * 5 <= hamming_list[-1]:
															k += 1
										hamming_list.append(
										    min(hamming_list[i] * 2				,   hamming_list[j] * 3				,   hamming_list[k] * 5	)	)
										index += 1
					return hamming_list


if __name__ == "__main__":
				lowercase_	       =			input('''Enter the last number (nth term) of the Hamming Number Series: ''')
				print('''Formula of Hamming Number Series => 2^i * 3^j * 5^k''')
				lowercase_	       =			hamming(int(n))
				print('''-----------------------------------------------------''')
				print(F"The list with nth numbers is: {hamming_numbers}")
				print('''-----------------------------------------------------''')




